The invention relates to a device for injecting a fluid, for example a fuel, in particular for an internal combustion engine.
More precisely, the invention relates, according to a first of its aspects, to a fluid injection device having a main injection axis and comprising:
Such an injection device, called an injector, makes it possible to obtain a cyclic opening with the setpoint period τ, at a controlled frequency that is for example ultrasonic and at a controlled amplitude, of the valve element of the injector, in particular during an established speed of its operation, that is to say during operation at a predetermined temperature outside the starting and stopping phases of the injector. A layer formed by the fluid escaping from the nozzle at the opening of the valve element is broken up and forms fine droplets. In an application of the injector in which it sprays fuel into a combustion chamber, the fine droplets promote a more homogeneous air-fuel mixture, which makes the engine less polluting and more economical.
According to known devices, the cyclic opening of the valve element is carried out with the aid of conventional vibration means, for example piezoelectric and/or magnetostrictive means with corresponding excitation means. The vibration means are arranged in the actuator having axially two opposite limits, one of which, called the first limit, is connected to the needle. Excited by the vibration means, the actuator converts an electric energy into vibrations of its first limit, with the setpoint period τ and a predetermined amplitude. The actuator acting, via its first limit, directly on the needle therefore plays a role of an active “master” controlling the needle which is then a passive controlled “slave”. Specifically, the vibrations of the first limit of the “master” actuator produce longitudinal alternating movements of the “slave” needle and therefore of its first end, relative to the seat of the nozzle. In order to provide a sufficient flow rate of fuel when the valve element opens, it is necessary for the head of the needle and the nozzle to be made to resonate substantially in phase opposition. For this, the characteristic lengths of the needle and that of the nozzle are chosen, in a known manner, so that the acoustic wave propagation times in respective materials forming the needle and the nozzle are equal to a quarter of the period of the vibrations τ/4 or to odd multiples of said quarter of the period, that is to say equal to [2j+1]*τ/4 with a positive, non-zero integer multiplying coefficient j. Resonating “needle/nozzle” and “needle/actuator” structures thus formed generate high amplitudes of opening of the valve element at low pressures, for example, equal to or less than 5 MPa, in the combustion chamber. Gradually, as the fuel is injected during a compression cycle the pressure in the combustion chamber and, consequently, a backpressure at the valve element increases. This backpressure may also vary according to the point of operation of the engine. With the increase in the backpressure, the intensity of the impacts of the first end of the needle on its seat, even damped by the layer of fuel, becomes ever greater. The feedback of these impacts, on the one hand, in the resonating “needle/nozzle” structure as a conventional quarter wavelength [2n+1]*τ/4 and, on the other hand, in the other resonating “needle/actuator” structure induces a coupling between the impact and a lifting of the first end of the needle from its seat by modifying the amplitude of opening of the valve element. If the impacts persist, the lifting of the head becomes chaotic. The benefit of the resonances is lost. The opening of the valve element becomes chaotic thus reflecting a disordered operation of the injector which may render the flow rate of fuel difficult to control.
In this context, the object of the present invention is to propose a fluid injection device designed at least to reduce at least one of the above-mentioned limitations. For this purpose, the injection device, moreover according to the generic definition given of it in the above preamble, is essentially characterized in that the length between the two limits of the block is such that the time T for propagating the acoustic waves initiated by the vibrations of the second portion of the actuator and traveling along this length satisfies the following equation: T=n*[τ/2], give or take a tolerance and where n is a multiplying coefficient, a non-zero positive integer.
Such an arrangement of the injector must make it possible to tend toward the following results: the resonating “needle/actuator” structure comprises at least one element—the actuator forming said block—which has a “symmetry” in acoustic terms. This means that an echo of an acoustic wave transmitted in a location of the symmetric block returns, after one or more reflections at the limits of the block, to this same transmission location of the acoustic wave a non-zero positive integer number of periods after it has been transmitted. For example, any acoustic wave traveling up the needle of the valve element toward the actuator and entering the latter via the limit, called the first limit of the block, between the needle and the first portion of the actuator is propagated axially in the actuator in order subsequently to be reflected on the limit, called the second limit of the block, opposite to said first limit. Thanks to the symmetrical resonating structure of the actuator, a first reflected wave, that is to say a first echo of the wave transmitted at the first limit, returns to this same first limit one period later after it is transmitted. The same applies to the acoustic waves, initiated by the electroactive material of the second portion of the actuator and being propagated axially toward the needle, which can, in their turn, be reflected on the first limit, return to the actuator to be reflected to the second limit, then return to the first limit one period later after their departure from the first limit. The symmetrical resonating structure of the actuator does not therefore generate any delay or change of sign of the waves—in particular for that of the sine wave where a portion of the sine wave in positive follows a symmetrical portion of the sine wave in negative—transmitted to the first limit irrespective of the origin of these waves (from the needle or from the actuator). The symmetrical resonating structure of the actuator therefore contributes to an ordered operation of the injector.
According to a second of its aspects, the invention relates to an internal combustion engine using the fluid injection device according to the invention, that is to say such an engine in which this injection device is placed.
Other features and advantages of the invention will clearly emerge from the description given thereof below, as an indication and in no way limiting, with reference to the appended drawings in which:
The injection device, or injector, of
The injector comprises two bodies which are for example cylindrical. A first body representing a casing 1 is extended, on a preferred axis AB of the injection device, for example, its axis of symmetry, by at least one nozzle 3 having a length on the axis AB and comprising an injection orifice and a seat 5 (or 5′). The linear dimensions of the casing 1, for example, its width measured perpendicularly to the axis AB and/or its length measured along the axis AB, may be greater than those of the nozzle 3. The density of the casing 1 may be greater than that of the nozzle 3. The casing 1 may be connected to at least one circuit 130 of fuel 131 via at least one opening 9. The circuit 130 of fuel 131 comprises a device 13 for treating the fuel 131 comprising, for example, a tank, a pump and a filter.
A second body representing an actuator 2 is mounted so as to be able to move axially in the casing 1. A needle has, on the axis AB, a length and a first end 6 defining a valve element, in a zone of contact with the seat 5 (or 5′) of the nozzle 3. The linear dimensions of the actuator 2, for example, its width measured perpendicularly to the axis AB and/or its length measured along the axis AB, may be greater than those of the needle 4. The density of the actuator 2 may be greater than that of the needle 4. The needle 4 and the actuator 2 are connected together by a zone of junction ZJ (
Return means 11 (or 11′) of the actuator 2 may be provided to keep the head 7 (or 7′) of the needle 4 pressing against the seat 5 (or 5′) of the nozzle 3. Therefore, the return means 11 (or 11′) close the valve element whatever the pressure in the combustion chamber 15. The location of the point of application of the return forces on the actuator 2 is of no consequence. The return means 11 (or 11′) may be represented by a prestressed coil spring placed on the axis AB downstream of the casing 1 (in particular in the case of the needle 4 with the outward-facing head 7,
In the example of
In the example in
The actuator 2 is extended, on the axis AB, by the needle 4. As the “master”, the actuator 2 is arranged for vibrating the “slave” needle 4 directly, with a setpoint period τ, thereby ensuring between the first end 6 of the needle 4 and the seat 5 (or 5′) of the nozzle 3 a relative axial movement suitable for alternately opening and closing the valve element, as illustrated in
It should be noted that, the inward-facing head 7′ being narrowed (
The actuator 2 comprising, on the axis AB, a first portion 21, a second portion 22 and a third portion 23 suitable for being traversed by acoustic waves initiated by vibrations of the second portion 22, the first portion 21 and third portion 23 being placed axially on either side of the second portion 22 (
Preferably, the third portion 23 acts as a rear weight playing a role of even distribution of the stresses on the electroactive material 221.
Preferably, the electroactive material 221 is piezoelectric which may take the form, for example, of one or more ceramic piezoelectric shims stacked axially on one another in order to form the second portion 22 of the block. The selective deformations of the electroactive material 221, for example, the periodic deformations with the setpoint period τ, generating the acoustic waves in the injector finally culminate in the relative movement of the head 7 (or 7′) relative to the seat 5 (or 5′) or viceversa, suitable for alternately opening and closing the valve element as specified hereinabove with reference to
The result of the above developments is that the nozzle 3 with the casing 1 and the needle 4 with the actuator form respectively a first and a second media for propagating of acoustic waves. Each of these two media has at least one linear acoustic impedance I which depends on a surface Σ with a cross section of the medium perpendicular to the axis AB, on a density ρ of the medium and on a velocity c of the sound in the medium: I=fI(Σ, ρ, c). To illustrate this ratio, let us examine various simplified examples in
The needle 4 and the nozzle 3 are each shown as a body, the radial dimensions of which perpendicular to the axis AB are small relative to its length along the axis AB. In a solid bar 400 cited here as a simplified model of the needle 4 (
Any variation of linear acoustic impedance I induces an echo, that is to say a weakening of the acoustic wave being propagated in a direction of the bar (for example from right to left in
The injector may comprise at least one zone of linear acoustic impedance breakage existing at a distance from the zone of contact of the seat 50 with the first end 6 of the needle 4 along the nozzle 3 (
As illustrated schematically in
T
B
=n
B*[τ/2], (E1)
where nB is a multiplying coefficient, a non-zero positive integer, called the first multiplying coefficient and the distance, called the second distance LA, between on the one hand the zone of contact between the first end 6 and the seat 5 (or 5′), and on the other hand the first zone of linear acoustic impedance breakage along the needle 4 or the actuator 2, is such that the time for propagation, called the “acoustic time-of-flight” TA, of the acoustic waves initiated by the actuator 2 and traveling along this second distance LA=fA(TA) satisfies the following equation:
T
A
=n
A*[τ/2], (E2)
where nA is another multiplying coefficient, a non-zero positive integer, called the second multiplying coefficient, for example nA≠nB.
It should be understood that the equations referenced E1 and E2 above must be considered as verified to within a certain tolerance in order to take account of manufacturing constraints, for example, to a tolerance of the order of plus or minus 10% of the setpoint period τ, that is to say of the order of plus or minus 20% of the half-setpoint period τ/2. Taking account of this tolerance, the equations referenced E1 and E2 above can be respectively rewritten as follows:
T
B
=n
B*[τ/2]±0.2*[τ/2] (E1′)
T
A
=n
A*[τ/2]±0.2*[τ/2] (E2′)
It should be noted that, in practice, the first distance LB=fB(TB) expressed as acoustic time-of-flight TB and the second distance LA=fA(TA) expressed as acoustic time-of-flight TA, measured on corresponding parts manufactured on an industrial scale, may have slight variations relative to the reference values calculated with the aid of the equations E1 and E2 above. These slight variations may be due to an effect of attached weights. The latter may correspond, for example, to the head 7 (or 7′) of the needle 4 and/or to a guide boss (not shown) in a plane perpendicular to the axis AB of the end 6 of the needle 4 in the nozzle 3. Said tolerance makes it possible to take account of said effect of attached weights so as to correct the expressions in acoustic time-of-flight of the first distance LB=fB(TB) and the second distance LA=fA(TA) with the aid of the equations E1′ and E2′ above.
Preferably, nA=nB for the second and the first multiplying coefficients where, in particular, nA=nB=1 in order to minimize the linear dimensions of the injector on the axis AB in order to leave as much space as possible for the inlet and/or exhaust ducts. Therefore, beginning from the zone of contact between the seat 5 (or 5′) and the first end 6 of the needle 4, the nozzle 3 has constant acoustic properties over successions of length representative of the first distance LB=fB(TB) that are substantially equal to one another in acoustic time-of-flight and of which the expression in acoustic time-of-flight TB preferably amounts to a single half-setpoint period τ/2. Similarly, beginning from the zone of contact between the seat 5 (or 5′) and the first end 6 of the needle 4, the latter has constant acoustic properties over successions of length representative of the second distance LA=fA(TA) that are substantially equal to one another in acoustic time-of-flight and of which the expression in acoustic time-of-flight TA preferably amounts to a single half-setpoint period τ/2.
To make it easier to assemble, over at least 90% of the first distance LB=fB(TB), the injector may have a variation in linear acoustic impedance that is less than or equal to 5% without this variation being able to be considered a linear acoustic impedance breakage. Similarly, over at least 90% of the second distance LA=fA(TA), the injector may have another variation in linear acoustic impedance that is less than or equal to 5% without this variation being able to be considered a linear acoustic impedance breakage.
During an established speed of its operation, that is to say during operation at a predetermined temperature excluding starting and stopping phases of the injector, the latter advantageously makes it possible to alternately open and close the valve element in a manner that is not very sensitive to the pressure in the combustion chamber 15. In the example illustrated in
In order to obtain the identity of the jumps in stress Δσ when the two corresponding waves, the incident and reflected waves, cross, the reflection of the acoustic waves at the first zone of impedance breakage must be as large as possible. This condition of virtually total reflection is a priori satisfied for the nozzle 3 set into the casing 1 associated in its turn with a cylinder head 8, this configuration being able to be similar to an ideal case of a bar of finite diameter (such as a beam) set into an infinite body. Because of the finite size of the actuator 2, the total reflection of the acoustic waves in the zone of junction ZJ between the needle 4 and the actuator 2 is difficult to obtain. In the example illustrated in
In the light of the details above, it should be understood that, in the general case for the first and second multiplying coefficients such that nB≠nA, it is the incident waves and the reflected waves shifted by a few periods τ which compensate for one another in the seat 5 in order to render it dynamically fixed. It is possible for this compensation not to be total when, for example, the difference between nB and nA is greater than a predetermined value and/or a dissipation of the acoustic waves in the nozzle 3 (and, finally, of its linear acoustic impedance) exceeds a certain threshold. That is why the configuration of the injector with nB=nA and, in particular, nB=nA=1 appears to be a priori more reliable acoustically and remains preferred relative to that in which nB≠nA.
It should be understood that the first distance LB=fB(TB) and the second distance LA=fA (TA) respectively with respect to the first “nozzle 3+casing 1” and the second “needle 4+actuator 2” media for propagation of the acoustic waves are defined, preferably with the aid of the respective acoustic times-of-flight TB=nB*[τ/2] and TA=nA*[τ/2], in an acoustic context. The latter is due to the presence of the (ultra sonic) vibrations of the setpoint period τ, initiated by the second portion 22 of the actuator 2, as evoked above. In other words, the first distance LB=fB(TB) and the second distance LA=fA(TA) are between two acoustic limits. Generally, a first acoustic limit used to define both the first distance LB and the second distance LA is represented by one end of an assembly in question (“nozzle 3+casing 1” or “needle 4+actuator 2”). In a simplified manner, it is possible to consider that this first acoustic limit is indistinguishable from the zone of contact between the first end 6 of the needle 4 (optionally extended axially by the head 7 (or 7′)) and the seat 5 (or 5′) of the nozzle 3, as illustrated in
In the example illustrated in
In the example illustrated in
The second acoustic limit specific to each of the two assemblies is represented by the respective first zone of linear acoustic impedance breakage I, as detailed above. For example, the second acoustic limit may correspond to the location where the diameter of the assembly in question varies in a plane perpendicular to the axis AB, for example at the zone of junction ZJ of the needle 4 with the first portion 21 of the actuator 2 or at the location of recessing SX of the nozzle 3 in the casing 1 (
Specifically, the machining of a monobloc part presents the simplest solution to use during manufacture of said parts on an industrial scale.
However, in certain cases, the acoustic limits of the bodies may not correspond to the physical limits of the bodies, as shown by two examples below. As illustrated in
As illustrated in
In order to make the injector perform still better in terms of acoustics, the length L between the two limits C, D of the block formed by the three portions 21, 22, 23 of the actuator 2 (
T=n*[τ/2], (E3)
where n is a multiplying coefficient, a non-zero positive integer, called the third multiplying coefficient, for example, n≠nB≠nA. By analogy with the nozzle 3 and the needle 4, the actuator 2 may therefore have a symmetrical acoustic structure such that an echo of an acoustic wave transmitted in a location of the symmetrical block tends to return, after one or more reflections at the limits of the block, to this same location of transmission of the acoustic wave a non-zero positive integer number of periods after it has been transmitted. This acoustic symmetry of the actuator 2 is particularly advantageous when the acoustic recessing of the needle 4 in the actuator 2 is not perfect and the incident wave leaving the head 7′ of the needle 4 and arriving along the needle 4 in the zone of junction ZJ (
By analogy with the equations referenced E1 and E2 above, it should be understood that the equation referenced E3 above must be considered as verified give or take a certain tolerance in order to take account of the manufacturing constraints, for example, at a tolerance of the order of plus or minus 10% of the setpoint period τ, that is to say of the order of plus or minus 20% of the half-setpoint period τ/2. Taking this tolerance into consideration, the equation referenced E3 above may be rewritten as follows:
T=n*[τ/2]±0.2*[τ/2] (E3′)
It should be noted that, in practice, the length L=f(T) expressed as acoustic time-of-flight T and measured on corresponding parts manufactured on an industrial scale may have slight variations relative to the reference values calculated with the aid of the equation E3 above. These slight variations may be due to an effect of attached weights. The latter may correspond, for example, to appendages or to gripping or assembly machinings. Said tolerance makes it possible to take account of said attached weight effect so as to correct the expression in acoustic time-of-flight of the length L=f(T) with the aid of the equation E3′ above.
For the same reasons as those evoked above with reference to nB and nA, it is preferable for n=nB=nA and, in particular, for n=nB=nA=1.
As illustrated in
T
1
=m*[τ/2], (E4)
where m is a multiplying coefficient, a non-zero positive integer, for example m≠n≠nBnA. This configuration is adapted, for example, to the case in which, in addition to the imperfect acoustic recessing of the needle 4 in the actuator 2 already mentioned above, the actuator 2 has a new zone of linear acoustic impedance breakage at the second limit 212. By virtue of the acoustic symmetry of the first portion 21 of the actuator 2, no delay or change of sign of the waves transmitted to the first limit 213 is generated despite their interfering echoes generated by the new zone of linear acoustic impedance breakage at the second limit 212, so that the alternating axial movements back-and-forth of the needle 4 are not disrupted.
By analogy with the equations referenced E1 to E3 above, it should be understood that the equation referenced E4 above should be considered as verified give or take a certain tolerance to take account of the manufacturing constraints, for example, at a tolerance of the order of plus or minus 10% of the setpoint period τ, that is to say of the order of plus or minus 20% of the half-setpoint period τ/2. Taking this tolerance into consideration, the equation referenced E4 above can be rewritten as follows:
T
1
=m*[τ/2]±0.2*[τ/2] (E4′)
It should be noted that, in practice, the first length L1=f1(T1), expressed as acoustic time-of-flight T1 and measured on corresponding parts manufactured on an industrial scale, can have slight variations relative to the reference values calculated with the aid of the equation E4 above. These slight variations may be due to an effect of attached weights. The latter may correspond, for example, to appendages or to machinings for gripping or assembly. Said tolerance makes it possible to take account of said effect of attached weights so as to correct the expression in acoustic time-of-flight of the first length L1=f1 (T1) with the aid of the equations E4′ above.
For the same reasons as those evoked above with reference to nB and nA, it is preferable for m=nB=nA and, in particular, for m=nB=nA=1.
Preferably, the second length L2 measured between this second limit 212 and the limit C of the block that is axially opposite to the needle 4 is such that the time T2 for propagating the acoustic waves initiated by the vibrations of the second portion 22 of the actuator 2 and traveling along this second length L2=f2(T2) satisfies the following equation:
T
2
=k*[τ/2], (E5)
where k is a multiplying coefficient, a non-zero positive integer, for example, k≠m≠n≠nB≠nA. This acoustically symmetrical configuration is adapted, for example, to the case in which the new zone of linear acoustic impedance breakage at the second limit 212 has only a partial linear acoustic impedance breakage, so that the acoustic waves traveling axially up the first portion 21 of the actuator manage to enter, after their partial reflections on the second limit 212 of the actuator 2, its second portion 22 without disrupting an alternating axial movement of the second limit 212 and/or that of the first limit 213 and/or, finally, that of the needle 4.
By analogy with the equations referenced E1 to E4 above, it should be understood that the equation referenced E5 above should be considered as verified give or take a certain tolerance to take account of the manufacturing constraints, for example, at a tolerance of the order of plus or minus 10% of the setpoint period τ, that is to say of the order of plus or minus 20% of the half-setpoint period τ/2. Taking this tolerance into consideration, the equation referenced E5 above can be rewritten as follows:
T
2
=k*[τ/2]±0.2*[τ/2] (E5′)
It should be noted that, in practice, the second length L2=f2(T2), expressed as acoustic time-of-flight T2 and measured on corresponding parts manufactured on an industrial scale, can have slight variations relative to the reference values calculated with the aid of the equation E5 above. These slight variations may be due to an effect of attached weights. The latter may correspond, for example, to appendages or to machinings for gripping or assembly. Said tolerance makes it possible to take account of said effect of attached weights so as to correct the expression in acoustic time-of-flight of the second length L2=f2(T2) with the aid of the equations E5′ above.
For the same reasons as those evoked above with reference to nB and nA, it is preferable for k=nB=nA and, in particular, for k=nB=nA=1.
To make it easier to assemble on an industrial scale, over at least 90% of the second length L2, the actuator has a linear acoustic impedance variation that is less than or equal to 5%. Thanks to this arrangement, it becomes possible, for example, to stack the ceramic piezoelectric shims forming the second portion 22 of the actuator 2 and having a slight variation in their sizes, for example, their axial sizes, without creating an inadmissible difference in acoustic terms that can disrupt the ordered operation of the injector.
Preferably, the first portion 21 of the actuator 2 is designed to transmit the vibrations of the electroactive material 221 to the needle 4 by amplifying them so that the movements of the needle 4 at the valve element are greater than the integral of the deformations of the electroactive material 221. Any section perpendicular to the axis AB of the first portion 21 has, on said axis AB, movements produced by the acoustic waves traveling over the first portion 21 from its second limit 212 to its first limit 213. Preferably, the first portion 21 of the actuator 2 has, on said axis AB, a linear acoustic impedance variation I21 such that the axial movements of a section perpendicular to the axis AB and situated at the first limit 213 are greater than those of any other section of the first portion 21, the linear acoustic impedance I21 of the first portion 21 being defined by the following equation: I21=Σ21*ρ21*c21 where Σ21 is a surface of a section of the first portion 21 perpendicular to the axis AB, ρ21 is a density in the first portion 21, c21 is a velocity of the sound in the first portion 21. The selective deformations of the second portion 22 of the actuator 2 induced by those of the electroactive material 221 are then amplified so as to produce the greatest possible movement at the first limit 213 of the actuator 2 and, consequently, at the first end 6 of the needle 4, this first limit 213 thereby becoming a location called a “belly” where the vibrations (in particular the movements) are amplified and at a maximum.
Preferably, the first portion 21 of the actuator 2 comprises at least one frustoconical segment which narrows, on the axis AB, toward the needle 4 (
As explained in detail above, the actuator 2 is made in several portions 21, 22, 23 that may be differentiated from one another by their geometry and/or by their density ρ and/or by the velocity c of the sound specific to each of them (
Preferably, the first portion 21 comprises a segment 211 for connection with the second portion 22 having axially a length LA2 such that the time TA2 for propagating the acoustic waves initiated by the vibrations of the second portion 22 of the actuator 2 and traveling along this length LA2=fA2(TA2) satisfies the following inequality: TA2<τ/10 (
Preferably, the first portion 21 comprises a segment 210 for connection with the needle 4 having axially a length LA1 such that the time TA1 for propagating the acoustic waves initiated by the vibrations of the second portion 22 of the actuator 2 and traveling along this length LA1=fA1(TA1) satisfies the following inequality: TA1<τ/20. Thanks to this arrangement, the concentrations of the stresses are reduced between the first portion 21 and the needle 4. This result is obtained over very reduced lengths LA2=fA2(TA2) in order to ensure an acceptable recessing on the acoustic matter discussed above of the needle 4 in the actuator 2.
The connection segments 210, 211, 230 may have a frustoconical shape, with for example a half-angle at the vertex of 45°. This frustoconical geometry is the easiest to produce in terms of machining. However, this frustoconical geometry is not limiting. It is also possible to envisage the connection segments 210, 211, 230 being parts of revolution limited by two planes perpendicular to a preferred axis, for example their axis of symmetry, and a surface generated by the rotation of a curve defined in a plane containing said axis. This curve may be of sigmoid and/or exponential type.
To make it easier to assemble the actuator 2 on an industrial scale, the first portion 21 of the actuator 2 can be extended, on the axis AB, away from the needle 4, by a central rod 40 which may be fitted (
Preferably, the central rod 40 has a thermal expansion (in particular a coefficient of thermal expansion) that is substantially identical to that of the electroactive material 221 of the second portion 22 of the actuator 2 (
Alternatively, the central rod 40 may have a thermal expansion (in particular a coefficient of thermal expansion) that differs from that of the electroactive material 221 of the second portion 22 of the actuator 2 (
Finally, according to the configuration of
It should be understood that, through its geometry, its density, its velocity of sound, the central rod 40 makes a negligible contribution acoustically. For example, when the central rod 40 is solid, its diameter, measured in a plane perpendicular to the axis AB, may be negligible (unlike what is shown schematically without scale in
When the central rod 40 has the thermal expansion substantially equal to the total of the thermal expansions of the electroactive material 221 (ceramic), of the third portion 23 and of the first portion 21 (in particular, when the central rod 40 has the thermal expansion substantially equal to that of the electroactive material 221 (ceramic)), it should be understood that, acoustically, the length L=f(T) described by the equation (E3) above (capable, in turn, of being specified with the aid of the equation (E3′)) still remains between the two opposite limits (transverse faces) C, D of the block, as illustrated in
When the central rod 40 has the thermal expansion that is substantially different from the total of the thermal expansions of the electroactive material 221 (ceramic), of the third portion 23 and of the first portion 21 (in particular, when the central rod 40 has the thermal expansion that is different from that of the electroactive material 221 (ceramic)), it should be understood that, acoustically, the definitions already discussed above of the two limits C and D (
Number | Date | Country | Kind |
---|---|---|---|
0704635 | Jun 2007 | FR | national |
Filing Document | Filing Date | Country | Kind | 371c Date |
---|---|---|---|---|
PCT/FR08/51146 | 6/25/2008 | WO | 00 | 4/8/2010 |