1. Technical Field of the Invention
This invention relates generally to electromagnetic transducers such as audio speakers, and more specifically to an electromagnetic transducer having a diaphragm or cone which is asymmetric, meaning that the ID of the cone is not at the geometric center of the OD of the cone. The ID or inner diameter refers to the location, typically but not always a hole, where the bobbin attaches to the diaphragm. The OD or outer diameter refers to the outer perimeter where typically the surround attaches to the diaphragm.
2. Background Art
The motor assembly has an axis Am typically understood to be at the axial center of the magnetic air gap in which the voice coil rides. The diaphragm has an OD or outer perimeter which has a geometric center or axis Aod. It is the same distance OD1 from the axis Aod to a first point on the OD and to a second point on the OD, which two points are radially opposite each other. The diaphragm may be axisymmetric, in the case of e.g. a round 6″ speaker. Alternatively, the diaphragm may be bilaterally symmetric, in the case of e.g. an elliptical 6×9 speaker. Other diaphragm OD shapes are known in the art, as well. The diaphragm also has an ID or inner perimeter which has a geometric center or axis Aid. It is the same distance ID1 from the axis Aid to a first point on the ID and to a second point on the ID, which two points are radially opposite each other. In nearly all cases, speakers use a cylindrical bobbin and a circular ID, but a few exceptions are known. The spider has a center or axis of suspension Asp, and the surround has an center or axis of suspension Asu.
As shown in
Ordinarily, in most engineering applications it is desirable to achieve symmetry. However, in audio applications, symmetry has some disadvantages. For example, a symmetric cone exhibits the same breakup modes in all radial segments, as each radial segment has the same shape, size, mass, etc. as the others. As another example, a symmetric speaker exhibits equal diffraction characteristics and cone/edge junction modes at all radial segments.
The invention will be understood more fully from the detailed description given below and from the accompanying drawings of embodiments of the invention which, however, should not be taken to limit the invention to the specific embodiments described, but are for explanation and understanding only.
The invention may be utilized in a variety of magnetic transducer applications, including but not limited to audio speakers, microphones, and the like. For the sake of convenience, the invention will be described with reference to audio speaker embodiments, but this should be considered illustrative and not limiting. For ease of illustration only, the invention will be illustrated with reference to an external magnet geometry speaker, but is not so limited.
The reader will readily appreciate that, while round and elliptical asymmetric diaphragms have been shown, the invention is not thus limited. The reader will further appreciate that the asymmetric diaphragm may be practiced with conventional, concave cones, or with inverted cones, or with flat diaphragms, or with other diaphragm configurations.
The axis of suspension Asu of the symmetric surround 28 is generally coaxial with the Aod, but the axis of suspension Asp of the symmetric spider 26 is generally coaxial with the Aid, and the Aod and Aid are not coaxial. This may tend to cause rocking of the diaphragm assembly during operation of the speaker.
The short side 24S and long side 24L of the diaphragm have respected projected chords SS and LS.
The high frequency dispersion pattern of the speaker will be asymmetrically controlled by the resultant angle, from the primary motor axis, of the long side with respect to that of the short side. By employing an asymmetric diaphragm, the speaker designer can control the dispersion by modifying the ratio of the long side to short side, which in turn affects the respective angles of the diaphragm at those locations.
This embodiment has the disadvantage that the softer portion of the spider suspension (with larger, more compliant rolls) is supporting the heavier portion of the diaphragm on the diaphragm's longer side. The long side of the diaphragm may have a greater moment of rotational inertia about the Aid than does the short side, which may cause rocking in response to acceleration of the diaphragm assembly. This may be exacerbated by the spider being softer on the long side of the diaphragm. In other words, while the Asp has been moved off of the Am, it has moved toward the Asu rather than away from it, and both suspension components have their axis of suspension on the same side of Am.
In either of these embodiments, one could reduce the rocking tendency by altering the shape or compliance of the surround instead the spider. Or, one could alter both the spider and the surround. The skilled designer will need to take into account the relative stiffnesses of the surround and the spider, and the relative mass and balance of the diaphragm, as well as the relative mass and balance of the rest of the moving components including the spider and the surround, in determining where to place the axes of suspension of the surround and spider in order to achieve a balanced, non-rocking speaker.
Alternatively, rather than shifting the mass of the diaphragm material, balancing may be accomplished by simply affixing a weight to the diaphragm in a suitable location.
With reference now to any of the figures describing the invention, in order to achieve desired acoustic results, the dimensional ratio between the short side and the long side may be adjusted by moving the ID relative to the OD. Below are given example formulas which can be used in selecting ratios for round speakers.
Table 1 gives the formula for Phi, the value upon which the Fibonacci sequence and other natural phenomena are built.
Table 2 gives a simpler formula for approximating Phi, which may also be termed the golden ratio GR. Having an LS:SS ratio of approximately Phi or Phi2 may, in many applications, produce good results. In some applications, having a ratio of the LS or the SS versus the intermediately sized portions of Phi or Phi2 may be advantageous.
Table 3 gives a formula for calculating the functional diameter FOD of the diaphragm, which is the overall diameter minus the distance which is occupied by the voice coil.
Table 4 gives a formula for calculating the length of the projected chord LS on the longer side of the diaphragm, measured from the bobbin to the surround. Bdepth is the depth of the cone or diaphragm, or, in other words, the distance between the diaphragm's OD plane and the diaphragm's ID plane.
Table 5 gives a formula for calculating the distance which the geometric center Aod of the diaphragm is offset from the axis Am of the motor assembly.
Table 6 gives a formula for calculating the length of the projected chord on the shorter side of the diaphragm, measured from the bobbin to the surround.
Table 7 gives a formula for calculating the centeredness ratio of the speaker, which is the ratio of the lengths of the short and long projected chords.
Table 8 gives the value of rho, the density of air.
Table 9 gives a formula for calculating the air load mass on the diaphragm, ignoring the air load mass that will be on the dust cap, or, more precisely, the portion of the dust cap which overlies the bobbin.
In order to prevent rocking of the diaphragm, which may distort the sound or, if it becomes exaggerated enough, may even cause the bobbin to impact the pole piece or plate, it is desirable to balance the diaphragm. The diaphragm may be balanced, to a first order of approximation, by forming the diaphragm such that any two opposing chord cross-sections are of equal area; in other words, opposite strips of diaphragm will have equal mass.
Table 10 gives a formula for calculating how much the mass of the short chord side of the diaphragm should be adjusted upward, and the mass of the long chord side of the diaphragm should be adjusted downward from this equal mass configuration, in order to balance the diaphragm over the axis of the bobbin to a next order of approximation, which includes the air load mass difference.
In order to achieve desired acoustic results, the dimensional ratio between the short side and the long side may be adjusted by moving the ID relative to the OD. In some applications, the speaker designer may elect to design a speaker in which the ratio is determined as between one of the long side and short side versus a midpoint side (e.g. 24M in
In order to prevent rocking of the diaphragm, which may distort the sound or, if it becomes exaggerated enough, may even cause the bobbin to impact the pole piece or plate, it is desirable to balance the diaphragm. The diaphragm may be balanced, to a first order of approximation, by forming the diaphragm such that any two opposing chord cross-sections are of equal area; in other words, opposite strips of diaphragm will have equal mass.
Further improvements may be made by making further adjustments for the relative moments of rotational inertia of the respective chords, to further reduce the tendency of the diaphragm assembly to rock as it accelerates in and out of the motor assembly.
The invention may be practiced with diaphragms of any suitable shape, such as but not limited to circular, elliptical, oval, egg-shaped, rectangular, or any polygon. In some implementations, a conical diaphragm may be used. A conical diaphragm may be said to have an apex at its “deepest” point; this is typically where the bobbin is mounted.
Mass may be added to portions of the diaphragm, to balance it, either by adding actual diaphragm material, or by adding some other material or fixture. Suspension stiffness may be adjusted asymmetrically in order to compensate for mass imbalances or differences in rotational moments.
Reference in the specification to “an embodiment,” “one embodiment,” “some embodiments,” or “other embodiments” means that a particular feature, structure, or characteristic described in connection with the embodiments is included in at least some embodiments, but not necessarily all embodiments, of the invention. The various appearances “an embodiment,” “one embodiment,” or “some embodiments” are not necessarily all referring to the same embodiments.
If the specification states a component, feature, structure, or characteristic “may”, “might”, or “could” be included, that particular component, feature, structure, or characteristic is not required to be included. If the specification or claim refers to “a” or “an” element, that does not mean there is only one of the element. If the specification or claims refer to “an additional” element, that does not preclude there being more than one of the additional element.
When one component is said to be “adjacent” another component, it should not be interpreted to mean that there is absolutely nothing between the two components, only that they are in the order indicated.
The several features illustrated in the various figures may be combined in many ways, and should not be interpreted as though limited to the specific embodiments in which they were explained and shown.
Those skilled in the art having the benefit of this disclosure will appreciate that many other variations from the foregoing description and drawings may be made within the scope of the present invention. Indeed, the invention is not limited to the details described above. Rather, it is the following claims including any amendments thereto that define the scope of the invention.
This application is a divisional of application Ser. No. 10/334,752 filed Dec. 31, 2002 by these inventors, and claims benefit of that filing date.
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Number | Date | Country | |
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20050105757 A1 | May 2005 | US |
Number | Date | Country | |
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Parent | 10334752 | Dec 2002 | US |
Child | 11022027 | US |