The field of the present invention relates to acoustic absorbers (also referred to as acoustic traps). In particular, apparatus and methods are disclosed herein for providing acoustic absorption at bass acoustic frequencies.
Some examples of acoustic absorbers or isothermal heat sinks are disclosed in:
An apparatus for absorbing acoustic energy includes one or more chamber walls that form an enclosed chamber. A portion of the chamber walls resistive to airflow provides the only communication between the chamber volume and ambient air. The one or more chamber walls are arranged so as to enable selection or adjustment of one or both of the chamber volume or the area of the resistive portion, thereby altering the acoustic spectrum of the absorber at least for frequencies less than about 250 Hz.
Another apparatus for absorbing acoustic energy includes one or more chamber walls that form an enclosed chamber. A portion of the chamber walls resistive to airflow provides the only communication between the chamber volume and ambient air. At least a portion of the chamber volume is occupied by fibrous filler material that exhibits only negligible resistance to airflow or acoustic absorption. Density and heat capacity of the fibrous filler material results in the occupied fraction of the chamber volume exhibiting compressibility of air within the chamber, for at least acoustic frequencies up to about 50 Hz, that is larger than adiabatic compressibility of air. The larger compressibility exhibited by the occupied fraction of the chamber volume results in an acoustic absorption coefficient of the apparatus that exceeds by at least 50%, for at least acoustic frequencies up to about 50 Hz, an acoustic absorption coefficient of an identical chamber having an entire interior volume thereof characterized by the adiabatic compressibility of air.
Objects and advantages pertaining to acoustic absorbers may become apparent upon referring to the example embodiments illustrated in the drawings and disclosed in the following written description or appended claims.
This Summary is provided to introduce a selection of concepts in a simplified form that are further described below in the Detailed Description. This Summary is not intended to identify key features or essential features of the claimed subject matter, nor is it intended to be used as an aid in determining the scope of the claimed subject matter.
The embodiments depicted are shown only schematically: all features may not be shown in full detail or in proper proportion, certain features or structures may be exaggerated relative to others for clarity, and the drawings should not be regarded as being to scale. In particular, pictorial representations of various fibrous wall or filler materials should not be interpreted as reflecting their absolute or relative densities. The embodiments shown are only examples: they should not be construed as limiting the scope of the present disclosure or appended claims.
A conventional acoustic absorber 100 is illustrated schematically in
As is well understood, the conventional tube trap acts as an acoustic RC circuit. The area, thickness, and density of the fiberglass resistive wall fraction 101 determine the effective acoustic resistance R; the chamber volume 103 and the adiabatic compressibility of air determine the effective acoustic capacitance C for an empty chamber volume 103. The acoustic absorber 100 exhibits an acoustic cut-off frequency fCO about equal to 1/2πRC, below which acoustic power absorption P decreases with a roll-off of about 6 dB/octave, and above which acoustic power absorption P increases asymptotically toward a maximum absorption level PMAX (which varies as 1/R). The tube trap absorbs at about 50% of that maximum level near the cut-off frequency. In principle the cut-off frequency can be calculated from the area of the resistive wall portion, the specific acoustic impedance of the wall material, the volume of the chamber, and the adiabatic compressibility of air; practically, it is often more straightforward or accurate to measure the cut-off frequency and asymptotic absorption for a given tube trap, and relate corresponding changes in those quantities to fractional changes of volume or resistive area arising from modifications or adjustments of the trap (discussed further below).
A typical acoustic power absorption spectrum is illustrated by curve A of
For convenience of description herein, frequencies below about 250 Hz shall be referred to herein as bass frequencies, while frequencies above about 250 Hz (i.e., so-called midrange and treble range) shall be referred to herein collectively as treble frequencies. In many instances the desired goal of employing the tube trap is to preferentially absorb acoustic power over at least a portion of the bass frequency range. An acoustic absorber adapted or arranged to exhibit enhanced absorption over at least a portion of the bass frequency range (relative to the simple RC acoustic absorber of
In the examples of an inventive acoustic absorber 200 illustrated schematically in
In the examples of
In the examples of
In the examples of
In the example of
In conventional tube traps acting as an RC-type absorber (with or without a low-pass reflector), acoustic absorption decreases with decreasing frequency beginning somewhat above the cut-off frequency and rolling off with decreasing frequency at about 6 dB/octave. However, it is at those low frequencies (i.e., so-called “deep bass” frequencies, e.g., below 50 to 60 Hz) where acoustic absorption typically is most desirable for improving the acoustic characteristics of a room or other acoustic space. It would be desirable to increase absorption at those deep-bass frequencies, particularly if that could be achieved without increasing the overall size of the acoustic absorber. Reducing the cut-off frequency by increasing the effective RC time constant of the tube trap 200 shifts the acoustic absorption spectrum to lower frequencies. One way to decrease the cut-off frequency is by increasing the capacitance of the tube trap 200 by increasing its volume. That approach may be undesirable in some instances due to the increased size, weight, and expense required to construct larger and larger tube traps.
Some of the examples of
As shown in
In the example acoustic absorbers 200 illustrated schematically in
An additional advantage resulting from the arrangements of
A further adaptation can be made to enhance acoustic absorption a frequencies below about 250 Hz without a need to enlarge the overall size of the acoustic absorber 200. In the Examples of
An extensive discussion of possible mechanisms for the increased compressibility of air in a chamber volume 203 with the filler material 234 is presented in provisional App. No. 62/375,840 filed Aug. 16, 2016 and incorporated above. That discussion need not be repeated here, and the accuracy or applicability of that discussion does not alter the scope or validity of the subject matter disclosed or claimed herein. In brief, the effective capacitance of the chamber volume 203 is proportional to its compressibility. For typical acoustic frequencies and with no filler material 234, the effective capacitance of the chamber volume 203 is proportional to the adiabatic compressibility of the air filling the chamber. Thermal conductivity of air is too slow to allow thermal equilibration on the timescales of acoustic vibrations, so that the adiabatic compressibility is applicable. However, the fibrous filler material 234 can act as a diffuse heat sink within the chamber volume 234. Heat generated by acoustic compression within a small volume or air surrounding each filament can be absorbed into the fiber, and then returned to the surrounding air upon subsequent rarefaction; that cycle is repeated with each passing pressure crest of the passing acoustic wave. The small air volume, which is micron-scale in transverse extent and decreases in size with increasing acoustic frequency, behaves according to its isothermal compressibility, which is γ=1.4 times larger than the adiabatic compressibility for air. As the filament density increases and the average spacing between filaments decreases, a larger fraction of the chamber volume 203 acts according to its isothermal compressibility instead of the adiabatic compressibility, and the effective capacitance of the chamber volume 203 (or at least that portion occupied by the fibrous filler material 234) increases from its adiabatic value toward its isothermal value (about 1.4 time larger). When the filament density becomes sufficiently large, and the corresponding average distance between filaments becomes sufficiently small, the entire occupied fraction of the chamber volume 203 behaves according to its isothermal compressibility, because every portion of the air is sufficiently close to a filament to remain in thermal equilibrium with it during the acoustic pressure oscillations. However, further increases in filament density can lead to undesirable reduction of the compliant air volume, undesirable resistance to airflow, or undesirable acoustic absorption by the filler material 234.
The description in the preceding paragraph necessarily includes a dependence on acoustic frequency. With decreasing acoustic frequency, the effectively isothermal volume around each filament is larger, and fully isothermal behavior can be observed at correspondingly lower filament density and larger average filament spacing. By increasing the compressibility from its adiabatic value toward its isothermal value (up to a 1.4 times increase), the corresponding capacitance increases by a similar factor, the cut-off frequency decreases by a similar factor, and absorption of acoustic energy at frequencies below the cut-off frequency increases by the square of that factor (up to a two-fold increase). Conversely, with increasing acoustic frequency, the effectively isothermal volume around each filament is smaller, and fully isothermal behavior requires correspondingly higher filament density and smaller average filament spacing. For a given filament density, the volume 203 will exhibit isothermal behavior at sufficiently low acoustic frequencies, adiabatic behavior at sufficiently high acoustic frequencies, and a transition between those behaviors at intervening frequencies. At filament densities typically employed (see below), some transition toward isothermal behavior begins at acoustic frequencies below about 250 Hz; isothermal behavior becomes more pronounced at acoustic frequencies below about 100 Hz, and predominates at acoustic frequencies below about 50 Hz.
A comparison is shown in
In some examples (
In some examples the fibrous filler material 234 comprises glass fibers at a density between about 0.2 lb/ft3 and about 0.8 lb/ft3; in some of those examples, the glass fibers are at a density between about 0.4 lb/ft3 and about 0.6 lb/ft3. Other suitable fibrous filler material can be employed (e.g., mineral wool) that exhibits sufficient thermal conductivity and heat capacity to result in the desired alteration of the compressibility. In some examples, the mean distance between individual fibers of the fibrous filler material 234 is between about 20 μm and about 500 μm; in some of those examples, the mean distance between individual fibers of the fibrous filler material is between about 50 μm and about 250 μm. In some examples, the fibrous filler material 234 is characterized by a mean fiber diameter between about 1 μm and about 50 μm; in some of those examples, the fibrous filler material is characterized by a mean fiber diameter between about 3 μm and about 25 μm.
In another example, the fibrous filler material 234 is contained within a fluid-tight flexible bag along with a fluid exhibiting a gas-liquid phase transition in response to air pressure outside the bag; that arrangement leads to nearly isobaric behavior of the chamber volume 203. In another example that can exhibit nearly isobaric behavior, the fibrous filler material 234 includes granular activated charcoal.
In some examples, the inventive tube trap 200 can includes one or more internal bulkheads positioned within the chamber volume. Those can be employed for strictly structural purposes, e.g., to increase stiffness or weight-bearing capacity, or can be employed to alter the acoustic characteristics of the tube trap 200. In some examples, at least one such bulkhead can substantially obstruct airflow, effectively dividing the chamber volume 203 into two of more subvolumes. In other examples, at least one bulkhead can permits airflow therethrough, perhaps through a restrictive or adjustable orifice. If adjustable, such an orifice can be adjusted manually, or controlled electronically, to enable some tuning of the frequency-dependent acoustic absorption.
Any of the examples of
Any of the inventive acoustic absorber disclosed or claimed herein can be employed to at least partly absorb acoustic energy that can be characterized as including one or more of transient, impulsive, sustained, or tonal acoustic energy.
In addition to the preceding, the following examples fall within the scope of the present disclosure or appended claims:
Example 1. An apparatus for absorbing acoustic energy, the apparatus comprising one or more chamber walls that form an enclosed chamber, wherein: (a) the one or more chamber walls define an interior volume characterized by a chamber volume and a wall area; (b) a first, non-zero fraction of the wall area permits resistive airflow therethrough, and the chamber volume communicates with ambient air only through the resistive fraction of the wall area; (c) one or more of the one or more chamber walls are structurally arranged so as to enable selection or adjustment of one or both of (i) the chamber volume over a selected range of chamber volumes or (ii) area of the resistive fraction of the wall area over a selected range of resistive areas; and (d) the selection or adjustment of one or both of the chamber volume or the resistive area results in a corresponding selection or alteration, for at least acoustic frequencies less than about 250 Hz, of an acoustic absorption spectrum of the apparatus.
Example 2. An apparatus for absorbing acoustic energy, the apparatus comprising one or more chamber walls that form an enclosed chamber, wherein: (a) the one or more chamber walls define an interior volume characterized by a chamber volume and a wall area; (b) a first, non-zero fraction of the wall area permits resistive airflow therethrough, and the chamber volume communicates with ambient air only through the resistive fraction of the wall area; (c) a second, non-zero fraction of the wall area substantially obstructs airflow therethrough; and (d) the chamber walls are arranged to form a cylinder, the resistive fraction of the wall area is arranged as one or more circumferential rings around the cylinder, and the obstructive fraction of the wall area includes both ends of the cylinder and a remaining portion of a lateral surface of the cylinder not occupied by the resistive fraction.
Example 3. An apparatus for absorbing acoustic energy, the apparatus comprising one or more chamber walls that form an enclosed chamber, wherein: (a) the one or more chamber walls define an interior volume characterized by a chamber volume and a wall area; (b) a first, non-zero fraction of the wall area permits resistive airflow therethrough, and the chamber volume communicates with ambient air only through the resistive fraction of the wall area; (c) a second, non-zero fraction of the wall area substantially obstructs airflow therethrough; and (d) wherein the chamber walls are arranged to form a cylinder, the resistive fraction of the wall area is arranged as one or more longitudinal stripes along the cylinder, and the obstructive fraction of the wall area includes both ends of the cylinder and a remaining portion of a lateral surface of the cylinder not occupied by the resistive fraction.
Example 4. An apparatus for absorbing acoustic energy, the apparatus comprising one or more chamber walls that form an enclosed chamber, wherein: (a) the one or more chamber walls define an interior volume characterized by a chamber volume and a wall area; (b) a first, non-zero fraction of the wall area permits resistive airflow therethrough, and the chamber volume communicates with ambient air only through the resistive fraction of the wall area; (c) a second, non-zero fraction of the wall area substantially obstructs airflow therethrough; and (d) wherein the chamber walls are arranged to form a cylinder with an axial passage therethrough that is filled with ambient air, the resistive fraction of the wall area is arranged entirely within the axial passage, and the obstructive fraction of the wall area includes both ends of the cylinder, the entire lateral surface of the cylinder, and a remaining portion of the axial passage not occupied by the resistive fraction.
Example 5. The apparatus of any one of Examples 1 through 4 further comprising fibrous filler material, wherein: (e) at least a fraction of the chamber volume is occupied by the fibrous filler material; (f) density of the fibrous filler material is sufficiently small so as to exhibit only negligible resistance to airflow and only negligible absorption of acoustic energy; (g) density and heat capacity of the fibrous filler material results in the occupied fraction of the chamber volume exhibiting compressibility of air within the chamber, for at least acoustic frequencies less than about 50 Hz, that is larger than adiabatic compressibility of air; and (h) the larger compressibility exhibited by the occupied fraction of the chamber volume results in the acoustic absorption coefficient of the apparatus exceeding by at least 50%, for at least acoustic frequencies less than about 50 Hz, an acoustic absorption coefficient of an identical chamber having an entire interior volume thereof characterized by the adiabatic compressibility of air.
Example 6. An apparatus for absorbing acoustic energy, the apparatus comprising (i) one or more chamber walls that form an enclosed chamber and (ii) fibrous filler material, wherein: (a) the one or more chamber walls define an interior volume characterized by a chamber volume and a wall area; (b) a first, non-zero fraction of the wall area permits resistive airflow therethrough, and the chamber volume communicates with ambient air only through the resistive fraction of the wall area; (c) at least a fraction of the chamber volume is occupied by the fibrous filler material; (d) density of the fibrous filler material is sufficiently small so as to exhibit only negligible resistance to airflow and only negligible absorption of acoustic energy; (e) density and heat capacity of the fibrous filler material results in the occupied fraction of the chamber volume exhibiting compressibility of air within the chamber, for at least acoustic frequencies up to about 50 Hz, that is larger than adiabatic compressibility of air; and (f) the larger compressibility exhibited by the occupied fraction of the chamber volume results in an acoustic absorption coefficient of the apparatus that exceeds by at least 50%, for at least acoustic frequencies up to about 50 Hz, an acoustic absorption coefficient of an identical chamber having an entire interior volume thereof characterized by the adiabatic compressibility of air.
Example 7. The apparatus of any one of Examples 5 or 6 wherein: (i) density and heat capacity of the fibrous filler material results in the occupied fraction of the chamber volume exhibiting compressibility of air within the chamber, for at least acoustic frequencies up to about 100 Hz, that is larger than adiabatic compressibility of air; and (ii) the larger compressibility exhibited by the occupied fraction of the chamber volume results in the acoustic absorption coefficient of the apparatus exceeding by at least 20%, for at least acoustic frequencies up to about 100 Hz, an acoustic absorption coefficient of an identical chamber having an entire interior volume thereof characterized by the adiabatic compressibility of air.
Example 8. The apparatus of any one of Examples 5 through 7 wherein: (i) density and heat capacity of the fibrous filler material results in the occupied fraction of the chamber volume exhibiting compressibility of air within the chamber, for at least acoustic frequencies up to about 250 Hz, that is larger than adiabatic compressibility of air; and (ii) the larger compressibility exhibited by the occupied fraction of the chamber volume results in the acoustic absorption coefficient of the apparatus exceeding by at least 10%, for at least acoustic frequencies up to about 250 Hz, an acoustic absorption coefficient of an identical chamber having an entire interior volume thereof characterized by the adiabatic compressibility of air.
Example 9. The apparatus of any one of Examples 5 through 8 wherein density and heat capacity of the fibrous filler material results in the occupied fraction of the chamber volume exhibiting compressibility of air within the chamber, for at least acoustic frequencies less than about 50 Hz, about equal to isothermal compressibility of air.
Example 10. The apparatus of any one of Examples 5 through 9 wherein the apparatus is structurally arranged so as to enable adjustment of the occupied fraction of the chamber volume, and adjustment of the occupied fraction results in a corresponding alteration, over at least a portion of acoustic frequencies less than about 250 Hz, of acoustic absorption by the apparatus of acoustic energy incident thereon.
Example 11. The apparatus of any one of Examples 5 through 10 wherein the chamber volume is substantially entirely filled with the fibrous filler material.
Example 12. The apparatus of any one of Examples 5 through 10 wherein the chamber volume is only partly filled with the fibrous filler material.
Example 13. The apparatus of any one of Examples 5 through 12 wherein a mean distance between individual fibers of the fibrous filler material is between about 20 μm and about 500 μm.
Example 14. The apparatus of any one of Examples 5 through 12 wherein a mean distance between individual fibers of the fibrous filler material is between about 50 μm and about 250 μm.
Example 15. The apparatus of any one of Examples 5 through 14 wherein the fibrous filler material is characterized by a mean fiber diameter between about 1 μm and about 50 μm.
Example 16. The apparatus of any one of Examples 5 through 14 wherein the fibrous filler material is characterized by a mean fiber diameter between about 3 μm and about 25 μm.
Example 17. The apparatus of any one of Examples 5 through 16 wherein the fibrous filler material comprises glass fibers at a density between about 0.2 lb/ft3 and about 0.8 lb/ft3.
Example 18. The apparatus of any one of Examples 5 through 16 wherein the fibrous filler material comprises glass fibers at a density between about 0.4 lb/ft3 and about 0.6 lb/ft3.
Example 19. The apparatus of any one of Examples 5 through 18 wherein the fibrous filler material is contained within a fluid-tight flexible bag along with a fluid exhibiting a gas-liquid phase transition in response to air pressure outside the bag.
Example 20. The apparatus of any one of Examples 5 through 19 wherein the fibrous filler material includes granular activated charcoal.
Example 21. The apparatus of any one of Examples 1 through 20 wherein the resistive portion of the wall area comprises glass fibers at a density between about 2 lb/ft3 and about 10 lb/ft3.
Example 22. The apparatus of any one of Examples 1 through 20 wherein the resistive portion of the wall area comprises glass fibers at a density between about 4 lb/ft3 and about 6 lb/ft3.
Example 23. The apparatus of any one of Examples 1 through 22 wherein a second, non-zero fraction of the wall area substantially obstructs airflow therethrough.
Example 24. The apparatus of Example 23 wherein the one or more chamber walls include at least a portion that comprises a substantially rigid shell having multiple perforations therethrough, the multiple perforations form at least a portion of the resistive fraction of the wall area, and the multiple perforations are sized and arranged so as to preferentially reflect or scatter acoustic frequencies above a selected acoustic crossover frequency and preferentially transmit acoustic frequencies below the selected acoustic crossover frequency.
Example 25. The apparatus of Example 24 wherein the selected acoustic crossover frequency is between about 300 Hz and about 500 Hz.
Example 26. The apparatus of any one of Examples 23 through 25 wherein the chamber walls are arranged to form one or more passages protruding into or through the chamber volume, ambient air fills the one or more passages, the resistive fraction of the wall area is arranged entirely within the one or more passages, the obstructive fraction of the wall area includes all wall portions outside the one or more passages, and the obstructive fraction includes remaining wall portions within the one or more passages that are not occupied by the resistive fraction.
Example 27. The apparatus of Example 26 wherein a cross-sectional area of the passage is between about 1 in2 and about 5 in2.
Example 28. The apparatus of Example 26 wherein a cross-sectional area of the passage is between about 2 in2 and about 4 in2.
Example 29. The apparatus of any one of Examples 23 through 25 wherein the chamber walls are arranged to form a cylinder, the resistive fraction of the wall area is arranged as one or more circumferential rings around the cylinder, and the obstructive fraction of the wall area includes both ends of the cylinder and a remaining portion of a lateral surface of the cylinder not occupied by the resistive fraction.
Example 30. The apparatus of any one of Examples 23 through 25 wherein the chamber walls are arranged to form a cylinder, the resistive fraction of the wall area is arranged as one or more longitudinal stripes along the cylinder, and the obstructive fraction of the wall area includes both ends of the cylinder and a remaining portion of a lateral surface of the cylinder not occupied by the resistive fraction.
Example 31. The apparatus of any one of Examples 1 through 30 wherein the one or more chamber walls include one or more telescoping portions arranged so as to enable adjustment of the chamber volume.
Example 32. The apparatus of any one of Examples 1 through 31 wherein the one or more chamber walls include one or more telescoping portions arranged so as to enable adjustment of the area of the resistive fraction of the wall area.
Example 33. The apparatus of any one of Examples 1 through 32 wherein the one or more chamber walls include one or more telescoping portions arranged so as to enable coupled, simultaneous adjustment of the chamber volume and the area of the resistive fraction of the wall area.
Example 34. The apparatus of any one of Examples 1 through 33 wherein the one or more chamber walls include one or more telescoping portions arranged so as to enable independent adjustment of the chamber volume and the area of the resistive fraction of the wall area.
Example 35. The apparatus of any one of Examples 1 through 34 wherein the area of the resistive fraction of the wall area is sufficiently small so that the apparatus exhibits a cut-off frequency less than about 30 Hz.
Example 36. The apparatus of any one of Examples 1 through 34 wherein the area of the resistive fraction of the wall area is sufficiently small so that the apparatus exhibits a cut-off frequency less than about 20 Hz.
Example 37. The apparatus of any one of Examples 1 through 36 further comprising one or more internal bulkheads positioned within the chamber volume.
Example 38. The apparatus of Example 37 wherein at least one of the one or more bulkheads substantially obstructs airflow therethrough, thereby dividing the chamber volume into two of more subvolumes.
Example 39. The apparatus of any one of Examples 37 or 38 wherein at least one or the one or more bulkheads permits airflow therethrough.
Example 40. The apparatus of any one of Examples 1 through 39 wherein the one or more chamber walls are arranged so that a portion of the chamber volume acts as a Helmholtz resonator.
Example 41. The apparatus of Example 40 further comprising an adjustable aperture between the Helmholtz resonator and a remaining portion of the chamber volume.
It is intended that equivalents of the disclosed example embodiments and methods shall fall within the scope of the present disclosure or appended claims. It is intended that the disclosed example embodiments and methods, and equivalents thereof, may be modified while remaining within the scope of the present disclosure or appended claims.
In the foregoing Detailed Description, various features may be grouped together in several example embodiments for the purpose of streamlining the disclosure. This method of disclosure is not to be interpreted as reflecting an intention that any claimed embodiment requires more features than are expressly recited in the corresponding claim. Rather, as the appended claims reflect, inventive subject matter may lie in less than all features of a single disclosed example embodiment. Thus, the appended claims are hereby incorporated into the Detailed Description, with each claim standing on its own as a separate disclosed embodiment. However, the present disclosure shall also be construed as implicitly disclosing any embodiment having any suitable set of one or more disclosed or claimed features (i.e., a set of features that are neither incompatible nor mutually exclusive) that appear in the present disclosure or the appended claims, including those sets that may not be explicitly disclosed herein. In addition, for purposes of disclosure, each of the appended dependent claims shall be construed as if written in multiple dependent form and dependent upon all preceding claims with which it is not inconsistent. It should be further noted that the scope of the appended claims does not necessarily encompass the whole of the subject matter disclosed herein.
For purposes of the present disclosure and appended claims, the conjunction “or” is to be construed inclusively (e.g., “a dog or a cat” would be interpreted as “a dog, or a cat, or both”; e.g., “a dog, a cat, or a mouse” would be interpreted as “a dog, or a cat, or a mouse, or any two, or all three”), unless: (i) it is explicitly stated otherwise, e.g., by use of “either . . . or,” “only one of,” or similar language; or (ii) two or more of the listed alternatives are mutually exclusive within the particular context, in which case “or” would encompass only those combinations involving non-mutually-exclusive alternatives. For purposes of the present disclosure and appended claims, the words “comprising,” “including,” “having,” and variants thereof, wherever they appear, shall be construed as open ended terminology, with the same meaning as if the phrase “at least” were appended after each instance thereof, unless explicitly stated otherwise. For purposes of the present disclosure or appended claims, when terms are employed such as “about equal to,” “substantially equal to,” “greater than about,” “less than about,” and so forth, in relation to a numerical quantity, standard conventions pertaining to measurement precision and significant digits shall apply, unless a differing interpretation is explicitly set forth. For null quantities described by phrases such as “substantially prevented,” “substantially absent,” “substantially eliminated,” “about equal to zero,” “negligible,” and so forth, each such phrase shall denote the case wherein the quantity in question has been reduced or diminished to such an extent that, for practical purposes in the context of the intended operation or use of the disclosed or claimed apparatus or method, the overall behavior or performance of the apparatus or method does not differ from that which would have occurred had the null quantity in fact been completely removed, exactly equal to zero, or otherwise exactly nulled.
For purposes of the present disclosure and appended claims, any labelling of elements, steps, limitations, or other portions of an embodiment, example, or claim (e.g., first, second, etc., (a), (b), (c), etc., or (i), (ii), (iii), etc.) is only for purposes of clarity, and shall not be construed as implying any sort of ordering or precedence of the portions so labelled. If any such ordering or precedence is intended, it will be explicitly recited in the embodiment, example, or claim or, in some instances, it will be implicit or inherent based on the specific content of the embodiment, example, or claim. In the appended claims, if the provisions of 35 USC § 112(f) are desired to be invoked in an apparatus claim, then the word “means” will appear in that apparatus claim. If those provisions are desired to be invoked in a method claim, the words “a step for” will appear in that method claim. Conversely, if the words “means” or “a step for” do not appear in a claim, then the provisions of 35 USC § 112(f) are not intended to be invoked for that claim.
If any one or more disclosures are incorporated herein by reference and such incorporated disclosures conflict in part or whole with, or differ in scope from, the present disclosure, then to the extent of conflict, broader disclosure, or broader definition of terms, the present disclosure controls. If such incorporated disclosures conflict in part or whole with one another, then to the extent of conflict, the later-dated disclosure controls.
The Abstract is provided as required as an aid to those searching for specific subject matter within the patent literature. However, the Abstract is not intended to imply that any elements, features, or limitations recited therein are necessarily encompassed by any particular claim. The scope of subject matter encompassed by each claim shall be determined by the recitation of only that claim.
This application is a division of U.S. non-provisional application Ser. No. 15/658,418 filed Jul. 25, 2017 in the name of Arthur Mandarich Noxon IV (now U.S. Pat. No. 10,767,365), which in turn claims benefit of U.S. provisional App. No. 62/375,840 filed Aug. 16, 2016 in the name of Arthur Mandarich Noxon IV; both of said applications are hereby incorporated by reference in their entireties as if fully set forth herein.
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Number | Date | Country | |
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Number | Date | Country | |
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Parent | 15658418 | Jul 2017 | US |
Child | 17000309 | US |