CN110390926B - Adjustable piezoelectric phononic crystal for inhibiting broadband elastic wave propagation - Google Patents
Adjustable piezoelectric phononic crystal for inhibiting broadband elastic wave propagation Download PDFInfo
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- CN110390926B CN110390926B CN201910567536.4A CN201910567536A CN110390926B CN 110390926 B CN110390926 B CN 110390926B CN 201910567536 A CN201910567536 A CN 201910567536A CN 110390926 B CN110390926 B CN 110390926B
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- G10K11/175—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound
- G10K11/178—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase
- G10K11/1781—Methods or devices for protecting against, or for damping, noise or other acoustic waves in general using interference effects; Masking sound by electro-acoustically regenerating the original acoustic waves in anti-phase characterised by the analysis of input or output signals, e.g. frequency range, modes, transfer functions
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Abstract
The invention discloses a piezoelectric phononic crystal for adjustably inhibiting broadband elastic wave propagation, which comprises a plurality of elastic wave channels arranged in parallel; each elastic wave channel comprises a plurality of piezoelectric phonon crystal units which are arranged according to a one-dimensional lattice period; each piezoelectric phononic crystal unit comprises a substrate, a piezoelectric transducer fixedly connected on the substrate and a shunt circuit connected on the piezoelectric transducer; each elastic wave channel modulates the phase of the elastic waves emitted into the elastic wave channel through a shunt circuit, so that the elastic waves emitted from the elastic wave channels generate phase difference to be self-cancelled. The invention changes the phase of elastic waves by adjusting the electrical parameters of the shunt circuit of the piezoelectric phononic crystal unit in each elastic wave channel, utilizes the principle of interference cancellation, adjusts the characteristics of the phononic crystal unit on the premise of not changing the mechanical structure of the phononic crystal unit, and realizes adjustable broadband elastic wave suppression in the frequency range outside the band gap.
Description
Technical Field
The invention belongs to the technical field of phononic crystals, and particularly relates to a piezoelectric phononic crystal for adjustably inhibiting broadband elastic wave propagation.
Background
The phononic crystal based on bragg scattering is a periodic structure with attenuation elastic characteristics, and in the traditional sense, no corresponding wave number solution exists in a corresponding forbidden band frequency range of the phononic crystal, in other words, the propagation of elastic waves is inhibited, wherein the energy of the elastic waves is attenuated in various forms such as refraction, reflection or absorption. Outside the forbidden frequency range, the elastic wave suppression effect of the phononic crystal is extremely limited. The engineering application is usually encountered with vibration elastic waves with a wide frequency range, different engineering application objects have vibration elastic waves with different frequencies, and how to adjustably suppress elastic waves in a wide frequency range is an important problem in the engineering application aiming at different engineering applications.
Generally, elastic waves are suppressed by utilizing photonic crystals based on bragg scattering, the size of the photonic crystals is often required to be equivalent to that of the elastic waves, if the frequency of the elastic waves is low and the wavelength of the elastic waves is large, huge photonic crystals are required to suppress the propagation of the elastic waves in the photonic crystals, wherein the band gap of the traditional photonic crystals depends on the design and the size of crystal units of the traditional photonic crystals and has no adjustability. Therefore, how to suppress the elastic wave in a wide frequency domain and realize the adjustability of an elastic wave suppression system becomes a problem which is urgently desired to be solved by the technical personnel in the field.
Disclosure of Invention
In order to solve the above problems, the present invention provides a piezoelectric photonic crystal for adjustable suppression of broadband elastic wave propagation, which has a good attenuation effect on elastic waves in a broadband range, and solves the problem of adjustable broadband elastic wave suppression in a low frequency range.
The technical scheme is as follows: the invention provides a piezoelectric phononic crystal for adjustably inhibiting broadband elastic wave propagation, which comprises a plurality of elastic wave channels arranged in parallel; each elastic wave channel comprises a plurality of piezoelectric phonon crystal units which are arranged according to a one-dimensional lattice period; each piezoelectric phononic crystal unit comprises a substrate, a piezoelectric transducer fixedly connected on the substrate and a shunt circuit connected on the piezoelectric transducer; each elastic wave channel modulates the phase of the elastic waves emitted into the elastic wave channel through a shunt circuit, so that the elastic waves emitted from the elastic wave channels generate phase difference to be self-cancelled.
Further, the shunt circuit comprises a capacitor, a first resistor, a second resistor and an operational amplifier; the capacitor is connected between the output end and the positive input end of the operational amplifier, the first resistor is connected between the output end and the negative input end of the operational amplifier, and the second resistor is connected between the negative input end and the grounding wire of the operational amplifier; one end surface of the piezoelectric transducer is connected with the positive input end of the operational amplifier; the other end surface is connected with a grounding wire.
Further, the equivalent negative capacitance value of the shunt circuit is equivalent to the capacitance value of the piezoelectric transducer.
Further, the chip model of the operational amplifier is TL 082.
Furthermore, the upper surface and/or the lower surface of the substrate are fixedly connected with piezoelectric transducers.
Further, the piezoelectric transducer is a sheet structure with a circular shape, an oval shape, a rectangular shape, a rhombic shape, a triangular shape or a hexagonal shape; the shape of the substrate in the piezoelectric phononic crystal unit is rectangular, square or hexagonal.
Further, the center of the piezoelectric transducer overlaps the center of the substrate.
Further, the elastic wave light source device further comprises an elastic wave incident channel and an elastic wave emergent channel.
Further, the total width of the elastic wave channels is the same as the width of the elastic wave incident channel, and the width of the elastic wave incident channel is the same as the width of the elastic wave emergent channel.
Further, the elastic wave incident channel and the elastic wave emergent channel are provided with bolt connection interfaces, adhesive interfaces or welding interfaces.
Has the advantages that: according to the invention, a plurality of elastic wave channels are constructed, the electrical parameters of the shunt circuit of the piezoelectric phonon crystal unit in each elastic wave channel are adjusted, and the dispersion characteristic of the piezoelectric phonon crystal is adjusted, so that the elastic wave channels realize the change of the phase of the elastic wave by using the dispersion characteristic of the piezoelectric phonon crystal, the phase difference of the elastic wave in different channels is realized, the phase difference of the elastic wave is artificially used for inducing the self-cancellation of the elastic wave, and the problem of elastic wave suppression in a broadband range is solved. The principle adopted by the invention is different from the traditional principle of reflection and absorption of internal wave of the band gap of the phononic crystal, and the invention utilizes the principle of destructive interference, can adjust the characteristics of the phononic crystal on the premise of not changing the mechanical structure of the phononic crystal unit, and realizes adjustable broadband elastic wave suppression in the frequency range outside the band gap. The invention has good elastic wave attenuation effect and good adjustability in the low-frequency ultra-wide frequency domain range.
Drawings
FIG. 1 is a schematic structural view of the present invention;
FIG. 2 is a schematic diagram of a single crystal structure of a phononic crystal unit of the present invention;
FIG. 3 is a schematic diagram of a bimorph structure of the phononic crystal unit of the present invention;
FIG. 4 is a schematic diagram of the shunt circuit connection of the present invention;
FIG. 5 is a schematic diagram of elastic wave phase control of phononic crystals with a periodic arrangement of single elastic wave propagation channels;
fig. 6 is a frequency response diagram of the elastic wave transmissivity corresponding to the piezoelectric phononic crystal of the dual elastic wave channel.
Detailed Description
One embodiment of the present invention is shown in fig. 1, comprising two elastic wave channels arranged in parallel; each elastic wave channel comprises five piezoelectric phononic crystal units 1 which are arranged according to a one-dimensional lattice period.
Each piezoelectric phononic crystal unit 1 comprises a substrate 2, a piezoelectric transducer 3 fixedly connected on the substrate 2 and a shunt circuit 4 adhered to the piezoelectric transducer 3 through epoxy resin glue. As in fig. 2, each substrate 2 may be provided with piezoelectric transducers 3 on only one side surface; as shown in fig. 3, each substrate 2 may also be provided with piezoelectric transducers 3 on both the upper and lower surfaces.
As shown in fig. 4, the shunt circuit 4 includes a capacitor 401, a first resistor 402, a second resistor 403, and an operational amplifier 404; the capacitor 401 is connected between the output end and the positive input end of the operational amplifier 404, the first resistor 402 is connected between the output end and the negative input end of the operational amplifier 404, and the second resistor 403 is connected between the negative input end and the ground wire of the operational amplifier 404; one end surface of the piezoelectric transducer 3 is connected with the positive input end of the operational amplifier 404; the other end surface is connected with a grounding wire. Wherein the chip type of the operational amplifier 404 is preferably TL 082.
The shunt circuit 4 reversely inputs charges to the piezoelectric transducer 3 by the feedback function of the operational amplifier 404, and changes the equivalent young's modulus of the piezoelectric transducer 3, thereby changing the desired dispersion characteristic of the piezoelectric phononic crystal, and finally changing the phase of the elastic wave transmitted thereto. The shunt circuit 4 reversely inputs the charge amount of the electric charge to the piezoelectric transducer 3 in relation to the equivalent capacitance value of the shunt circuit 4.
The capacitance of the capacitor 401 in the shunt circuit 4 is C1The resistance value of the first resistor 402 is R1Second, secondThe resistance value of the resistor 403 is R2The equivalent capacitance of the shunt circuit 4 is
By regulating R1And R2Can change the equivalent capacitance C of the shunt circuit 4nThereby adjusting the amount of phase change of the elastic wave.
When the phase difference of the elastic waves in the two elastic wave channels is pi, two lines of elastic waves are completely mutually cancelled; when the phase difference of elastic waves in the two elastic wave channels is less than pi, parts of two lines of elastic waves are mutually cancelled, the two elastic wave channels enable the elastic waves to form the mutual phase difference and self-cancel, the elastic wave attenuation of an ultra-wide frequency range in a low frequency range is realized, the problem of the suppression of the wide frequency elastic waves in the low frequency range is solved, the online adjustment of the shunt circuit 4 can realize the change of the wave propagation characteristics of the two elastic wave channels, and therefore the adjustment of the attenuation characteristics of the elastic waves is realized.
Since the equivalent capacitance value of the shunt circuit 4 is equal to the capacitance value of the piezoelectric transducer 3, the adjusting effect of the shunt circuit 4 on the piezoelectric acoustic metamaterial is most obvious, and preferably, the equivalent capacitance value of the shunt circuit 4 is equal to the capacitance value of the piezoelectric transducer 3.
The piezoelectric transducer 3 is a circular or elliptical or rectangular or rhombic or triangular or hexagonal sheet structure; the shape of the substrate 2 in the piezoelectric phononic crystal unit 1 is rectangular, square or hexagonal.
The center of the piezoelectric transducer 3 overlaps the center of the substrate 2.
The invention also comprises an elastic wave incident channel 5 and an elastic wave emergent channel 6. The total width of the elastic wave channels is the same as the width of the elastic wave incident channel 5, and the width of the elastic wave incident channel 5 is the same as the width of the elastic wave exit channel 6. The elastic wave incident channel 5 and the elastic wave emergent channel 6 are respectively provided with a bolt connection interface, an adhesive interface or a welding interface 7.
Fig. 5 is a schematic diagram of elastic wave phase modulation of phononic crystals with periodically arranged single elastic wave channels, wherein the lattice constant a of the piezoelectric phononic crystal unit 1 is 0.25m, the substrate 2 is a metal rectangle, the thickness of the substrate 2 is 0.01 a-0.3 a, the substrate 2 is fixedly connected with a square piezoelectric transducer 3, the piezoelectric transducer 3 is connected with a shunt circuit 4, and the corresponding elastic wave channel can realize phase modulation exceeding 2 pi.
Fig. 6 is a frequency response diagram of elastic wave transmissivity corresponding to the phononic crystal of the dual elastic wave channel of the present embodiment. When the phase difference of elastic waves in the two elastic wave channels is pi, the attenuation effect of the elastic wave vibration is obvious and a plurality of transfer rate valleys are formed. In other frequency ranges, the phase difference of elastic waves in the two elastic wave channels is less than pi, and the effect of the elastic wave energy attenuation is obvious, and compared with the traditional local resonance metamaterial, the effect of the elastic wave energy attenuation is greatly improved in two indexes of frequency width and attenuation capacity. The design of the multi-elastic wave channel phononic crystal realizes the energy attenuation effect of ultra-wide frequency bending vibration in a low frequency range, and greatly increases the effective frequency range for inhibiting the elastic wave vibration.
Claims (8)
1. An adjustable piezoelectric phononic crystal for inhibiting broadband elastic wave propagation is characterized in that: the device comprises a plurality of elastic wave channels which are arranged in parallel, an elastic wave incident channel and an elastic wave emergent channel; the total width of the elastic wave channels is the same as that of the elastic wave incident channel, and the width of the elastic wave incident channel is the same as that of the elastic wave emergent channel; each elastic wave channel comprises a plurality of piezoelectric phonon crystal units which are arranged according to a one-dimensional lattice period; each piezoelectric phononic crystal unit comprises a substrate, a piezoelectric transducer fixedly connected on the substrate and a shunt circuit connected on the piezoelectric transducer; each elastic wave channel modulates the phase of the elastic waves emitted into the elastic wave channel through a shunt circuit, so that the elastic waves emitted from the elastic wave channels generate phase difference to be self-cancelled.
2. The tunable broadband elastic wave propagation-suppressing piezoelectric photonic crystal according to claim 1, wherein: the shunt circuit comprises a capacitor, a first resistor, a second resistor and an operational amplifier; the capacitor is connected between the output end and the positive input end of the operational amplifier, the first resistor is connected between the output end and the negative input end of the operational amplifier, and the second resistor is connected between the negative input end and the grounding wire of the operational amplifier; one end surface of the piezoelectric transducer is connected with the positive input end of the operational amplifier; the other end surface is connected with a grounding wire.
3. The tunable broadband elastic wave propagation-suppressing piezoelectric photonic crystal according to claim 2, wherein: the equivalent negative capacitance value of the shunt circuit is equivalent to the capacitance value of the piezoelectric transducer.
4. The tunable broadband elastic wave propagation-suppressing piezoelectric photonic crystal according to claim 3, wherein: the chip model of the operational amplifier is TL 082.
5. The tunable broadband elastic wave propagation-suppressing piezoelectric photonic crystal according to any one of claims 1 to 4, wherein: and the upper surface and/or the lower surface of the substrate are/is fixedly connected with piezoelectric transducers.
6. The tunable broadband elastic wave propagation-suppressing piezoelectric photonic crystal according to claim 5, wherein: the piezoelectric transducer is a circular or elliptical or rectangular or rhombic or triangular or hexagonal sheet structure; the shape of the substrate in the piezoelectric phononic crystal unit is rectangular, square or hexagonal.
7. The tunable broadband elastic wave propagation-suppressing piezoelectric photonic crystal according to claim 6, wherein: the center of the piezoelectric transducer overlaps the center of the substrate.
8. The tunable broadband elastic wave propagation-suppressing piezoelectric photonic crystal according to claim 1, wherein: and the elastic wave incident channel and the elastic wave emergent channel are respectively provided with a bolt connecting interface, an adhesive interface or a welding interface.
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| CN111119402B (en) * | 2019-12-30 | 2021-11-30 | 哈尔滨工程大学 | Periodic piezoelectric beam structure with active vibration and noise reduction function |
| CN111541045A (en) * | 2020-05-21 | 2020-08-14 | 天津大学 | Mechanical metamaterial fluctuation device with active regulation and control function |
| CN113531022A (en) * | 2021-07-26 | 2021-10-22 | 天津大学 | Active control local resonance metamaterial device for low-frequency vibration isolation |
| CN115132160A (en) * | 2022-08-30 | 2022-09-30 | 中国空气动力研究与发展中心设备设计与测试技术研究所 | Broadband low-frequency sound insulation device based on piezoelectric hybrid shunt circuit and design method thereof |
| CN115473455A (en) * | 2022-09-02 | 2022-12-13 | 哈尔滨工程大学 | Vibration damping and power generation dual-function device based on symmetrical multi-layer piezoelectric metamaterial |
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