Parameter regulation and control method and device for nonlinear vibration absorber of thin-wall component

Abstract

The invention discloses a parameter regulation and control method for a nonlinear vibration absorber of a thin-wall component, which comprises the following steps of: acquiring signal data of a piezoelectric module under the control of an external acting force of a piezoelectric plate for driving a thin-wall component plate module and the piezoelectric module; based on the bias input voltage, the signal data sequentially passes through the circuit module and the control module to obtain the control input voltage and the control output voltage of the control module and the bias output voltage of the circuit module; based on the signal data and the external acting force, parameters of an equivalent circuit are obtained through the thin-wall structure dynamic model and the control model, and the parameters of the equivalent circuit are used for regulating and controlling parameters of the nonlinear vibration absorber; and based on the signal data, the control input voltage, the control output voltage, the bias input voltage and the bias output voltage, linear parameters and nonlinear parameters of the control module are obtained, so that the nonlinear parameters are matched with capacitance parameters in the parameters of the equivalent circuit, and the linear parameters are matched with inductance parameters and resistance parameters in the parameters of the equivalent circuit.

Description

Technical Field

[0001] The present invention belongs to the technical field of acoustic vibration control, and in particular relates to a parameter control method and device for a nonlinear vibration absorber of a thin-walled component. Background Art

[0002] In modern transportation, thin-walled plate and shell structures are widely used in aircraft skins, ship hulls, and automobile bodies. While these structures improve transport efficiency due to their lightweight advantages, their low stiffness makes them susceptible to low-frequency, broadband vibrations under external loads such as mechanical vibration, airflow impact, and acoustic excitation. Vibrational energy propagates through the structure and radiates noise, directly affecting cabin acoustic comfort and posing a serious challenge to the stealth performance of aircraft and ships. Therefore, efficient control of vibration and acoustic radiation is necessary. However, the control of vibration and acoustic radiation from thin-walled plate and shell structures still faces numerous technical bottlenecks. First, the highly dense structural modal distribution and the strong coupling between multi-band vibration modes make it difficult for a single control strategy to effectively cover the entire frequency range. Second, the excitation source characteristics in actual engineering scenarios are dynamically changing. For example, the excitation frequency and amplitude generated by a ship propeller vary significantly at different speeds, requiring the control strategy to be able to adapt to the operating conditions in real time. Traditional passive dynamic vibration absorbers are limited by fixed mechanical parameters and are difficult to adapt to complex working conditions. However, with the rapid development of digital signal processing (DSP), field-programmable gate arrays (FPGAs), and embedded systems in recent years, a new approach to vibration absorber control using programmable digital circuits has been proposed. Summary of the Invention

[0003] To address the aforementioned issues, the present invention proposes a parameter control method and device for a nonlinear vibration absorber for thin-walled components. This innovatively proposes a nonlinear piezoelectric vibration absorber with a programmable control module utilizing digital control technology. This device organically integrates piezoelectric materials, digital control circuits, and thin-walled plate and shell structures to form a compact, integrated solution that can be used individually or expanded into a metasurface, simplifying the system architecture and reducing implementation costs. Through closed-loop coupling control, this device overcomes the fixed parameters and poor adaptability of traditional nonlinear vibration absorbers, significantly improving the bandwidth, accuracy, and robustness of vibration suppression. This device is suitable for demanding applications such as aerospace and high-end equipment, requiring stringent structural dynamic performance. Dynamic control of the absorber parameters, including at least the resonant frequency and damping coefficient, is achieved through a programmable nonlinear digital circuit, enabling the thin-walled component plate module in the nonlinear piezoelectric vibration absorber to adapt to complex vibration environments. The control module implements real-time, precise control and dynamic parameter adjustment of the nonlinear piezoelectric vibration absorber. Furthermore, based on an adaptive control algorithm, the control module enables the device to automatically identify and intelligently optimize the vibration and acoustic radiation characteristics of thin-walled structures.

[0004] A first aspect of the present invention provides a parameter control method for a nonlinear vibration absorber of a thin-walled component, which is applied to a parameter control device for a nonlinear vibration absorber of a thin-walled component, the parameter control device comprising a thin-walled component plate module, a piezoelectric module, a circuit module, and a control module; The parameter control method comprises the following steps: Controlled by an external force that sequentially drives the thin-walled component plate module and the piezoelectric sheet of the piezoelectric module, signal data of the piezoelectric module is obtained; Based on the bias input voltage and the signal data, sequentially obtaining the control input voltage, the control output voltage and the bias output voltage of the circuit module through the circuit module and the control module; Based on the signal data and the external force, parameters of an equivalent circuit are obtained through a thin-walled structure dynamic model and a control model, and the parameters of the equivalent circuit are used to control parameters of a nonlinear vibration absorber; Based on the signal data, the control input voltage, the control output voltage, the bias input voltage and the bias output voltage, the linear parameters and the nonlinear parameters of the control module are obtained to achieve the adaptation of the nonlinear parameters to the capacitance parameters in the parameters of the equivalent circuit, and the adaptation of the linear parameters to the inductance parameters and the resistance parameters in the parameters of the equivalent circuit.

[0005] Preferably, the step of obtaining parameters of an equivalent circuit based on the signal data and the external force through a thin-walled structure dynamic model and a control model further includes: The thin-walled component plate module is based on the thin-walled structure dynamic model and the control model of the piezoelectric sheet of the piezoelectric module to construct a first model, and the calculation expression is: In the formula 、 、 are the mass matrix, damping matrix, and stiffness matrix of the thin-walled component plate module, respectively. is the external force, is the preset electromechanical coupling vector, is the voltage of the piezoelectric piece, is the displacement data of the signal data; An equivalent circuit is constructed based on the piezoelectric module, and a first circuit control nonlinear equation and a second circuit control nonlinear equation containing parameters of the equivalent circuit are constructed based on the equivalent circuit. The calculation expressions are: In the formula is the electromechanical coupling vector, is the capacitance of the piezoelectric piece, is the capacitance parameter in the equivalent circuit parameters, is the charge of the signal data, is the inductance parameter in the equivalent circuit parameters, is the resistance parameter among the parameters of the equivalent circuit; Based on the first model, a first simplified formula is obtained through modal reduction processing and the displacement data special expression, and the calculation expression is: In the formula 、 、 and are modal mass, damping, stiffness and modal electromechanical coupling coefficient respectively; Based on the first circuit control nonlinear equation and the second circuit control nonlinear equation, First dimensionless equation, second dimensionless equation; Based on the first dimensionless equation and the second dimensionless equation, the capacitance parameter, the inductance parameter, and the resistance parameter of the equivalent circuit are respectively obtained, and the calculation expressions are: In the formula is the inductance parameter in the equivalent circuit parameters, is the resistance parameter in the parameters of the equivalent circuit, is the capacitance parameter in the equivalent circuit parameters, is the electrical frequency, The capacitance of the piezoelectric piece, Resistor ratio, is a linear factor, is the natural frequency.

[0006] Preferably, the displacement data profile expression is: In the formula is the i-th short-circuit eigenvalue, N is the total number of modes, Represents the mechanical modal coordinates.

[0007] Preferably, the step of obtaining a first dimensionless equation and a second dimensionless equation based on the first circuit control nonlinear equation and the second circuit control nonlinear equation further comprises: Based on the first circuit control nonlinear equation and the second circuit control nonlinear equation, a first nonlinear coupling equation and a second nonlinear coupling equation are obtained by simplifying the first simplified formula, and the calculation expressions are respectively: In the formula 、 、 are modal mass, damping and stiffness respectively, is the modal electromechanical coupling coefficient, The capacitance of the piezoelectric piece, The equivalent capacitance parameter of the equivalent circuit is, is the charge data of the signal data, is the equivalent inductance parameter of the equivalent circuit, is the equivalent resistance parameter of the equivalent circuit; Based on the first nonlinear coupling equation and the second nonlinear coupling equation, the first dimensionless equation and the second dimensionless equation are obtained through dimensionless transformation. The calculation expressions are: In the formula for , Natural frequency, for , The value is , represents the mechanical modal coordinates, Resistor ratio, is a linear factor, The modal electromechanical coupling factor is , is the inductance parameter of the nonlinear circuit, is the electrical frequency, The capacitance of the piezoelectric piece, Resistor ratio, is the resistance parameter of the nonlinear circuit, is a linear factor, is the natural frequency.

[0008] Preferably, the step of acquiring the linear parameters and nonlinear parameters of the control module based on the signal data, the control input voltage, the control output voltage, the bias input voltage, and the bias output voltage further includes: The control input voltage is obtained based on the displacement voltage of the signal data and the bias input voltage, and the calculation expression is: In the formula is the gain of the signal scaling module of the circuit module, the input bias voltage; Construct an equation containing linear parameters and the output voltage of the control module, and the calculation expression is: In the formula is a linear parameter adapted to the inductance parameter and the resistance parameter in the parameters of the equivalent circuit, is the control input voltage, is the built-in bias voltage of the control module; The built-in bias voltage equation of the control module is obtained based on the bias input voltage and the bias output voltage, and the calculation expression is: In the formula is the bias output voltage, The input bias voltage, is the DC gain of the transfer function; Obtaining the linear parameter based on an output voltage equation of the control module and a built-in bias voltage equation of the control module; The nonlinear parameter is obtained by a control module based on the signal data.

[0009] Preferably, the calculation expression of the linear parameter is: In the formula is the resistance parameter in the parameters of the equivalent circuit, is the inductance parameter in the equivalent circuit parameters, is the electrical frequency, The sixth resistor of the feedback output module of the circuit module; The calculation expression of the nonlinear parameter is: In the formula is the charge data of the signal data, is the capacitance parameter in the parameters of the equivalent circuit.

[0010] A second aspect of the present invention provides a parameter control device for a nonlinear vibration absorber of a thin-walled component, comprising: Thin-walled component plate module, used to generate displacement driven by external force; A piezoelectric module, wherein an end face of the piezoelectric module is fixedly connected to the thin-walled component plate module, the piezoelectric module comprising a piezoelectric patch and a piezoelectric transducer, the piezoelectric patch being provided with a coordinate system for obtaining signal data of the piezoelectric module by driving the piezoelectric module based on the thin-walled component plate module; a circuit module, wherein a displacement signal input terminal of the circuit module is connected to an output terminal of the piezoelectric module, and is configured to obtain a control input voltage and a bias output voltage based on the signal data and the bias input voltage; A control module, wherein the output end of the circuit module is connected to the input end of the control module, and the input end of the feedback signal of the circuit module is connected to the output end of the control module, and is used to obtain parameters of the equivalent circuit of the piezoelectric module based on the signal data and parameters adapted to the parameters of the equivalent circuit based on the signal data, the control input voltage, the control output voltage, the bias input voltage and the bias.

[0011] Preferably, the circuit module includes a signal acquisition module, a signal scaling module, and a signal bias module. The signal acquisition module is provided with a first operational amplifier, the signal scaling module is provided with a second operational amplifier, a first circuit, and a second resistor, and the signal bias module is provided with a third operational amplifier; the displacement signal input end of the circuit module is connected to the non-inverting input end of the first operational amplifier, the feedback signal input end of the circuit module is connected to the output end of the third operational amplifier, the inverting input end of the first operational amplifier, the output end of the first operational amplifier, the first resistor, and the inverting input end of the second operational amplifier are connected in sequence, the inverting input end of the second operational amplifier, the second resistor, and the output end of the second operational amplifier are connected in sequence, and the non-inverting input end of the second operational amplifier is grounded.

[0012] Preferably, the circuit module also includes a signal bias output module and a feedback output module, the signal bias output module includes a fourth operational amplifier, and the feedback output module includes a fifth operational amplifier, a fourth resistor, a fifth resistor, a sixth resistor, a seventh resistor, and an eighth resistor; the input end of the feedback signal of the circuit module is connected to the inverting input end of the fourth operational amplifier; the output end of the fourth operational amplifier, the fifth resistor, the fourth resistor, and the output end of the fifth operational amplifier are connected in series in sequence, and the displacement signal input end of the circuit module, the sixth resistor, and the output end of the fifth operational amplifier are connected in series in sequence; the displacement signal input end of the circuit module, the seventh resistor, and the eighth resistor are connected in series in sequence and grounded, the non-inverting input end of the fifth operational amplifier is connected to the common end of the seventh resistor and the eighth resistor, and the inverting input end of the fifth operational amplifier is connected to the common end of the fourth resistor and the fifth resistor.

[0013] Preferably, the first resistor, the fourth resistor, and the eighth resistor are resistors with the same resistance R a The second resistor, the fourth resistor, and the fifth resistor use resistors with the same resistance R b .

[0014] Due to the adoption of the above technical solution, the present invention has the following advantages and positive effects compared with the prior art: Precise dynamic parameter control: Through coupled analysis of the thin-walled structure dynamic model and the piezoelectric control model, the capacitance, inductance, and resistance parameters in the equivalent circuit are calculated in real time, aligning the circuit characteristics with those of the piezoelectric module and the thin-walled component plate module. Simplified formulas for modal coordinates reduce the computational complexity of multimodal vibration while preserving the electromechanical coupling characteristics of the dominant mode, improving the real-time performance of parameter control.

[0015] Improving nonlinear vibration absorption performance: Utilizing nonlinear factors and electrical frequency The dimensionless design of the equivalent circuit covers the multi-order natural frequencies of the thin-walled component plate module. , especially near the resonant frequency through the resistor ratio Adjust energy dissipation and enhance adaptability to complex vibrations. Piezoelectric modules are coupled with electromechanical vectors. Achieve mechanical displacement Bidirectional conversion of charge and bias voltage (including and ) to optimize the balance between energy recovery and dissipation.

[0016] Coupled model design and dimensionless design: Combine mechanical modal coordinates with circuit charges Through nonlinear equation coupling, it breaks through the frequency limitation of traditional linear vibration absorbers and achieves efficient suppression of impact loads and broadband vibrations. Processing, unifying the mechanical time scale with the electrical time scale, ensures that the parameter control method is adaptive in thin-walled components of different materials and structures.

[0017] The control module realizes real-time precise control and dynamic parameter adjustment of the nonlinear piezoelectric vibration absorber; at the same time, based on the adaptive control algorithm, the control module enables the device to automatically identify and intelligently optimize the vibration and acoustic radiation characteristics of thin-walled structures. BRIEF DESCRIPTION OF THE DRAWINGS

[0018] The specific embodiments of the present invention are further described in detail below with reference to the accompanying drawings, wherein: Figure 1Schematic diagram of a flow chart of a parameter control method for a nonlinear vibration absorber of a thin-walled component in the present invention; Figure 2 Schematic diagram of an equivalent circuit constructed based on a thin-walled component plate module and a piezoelectric module in the present invention; Figure 3 Schematic diagram of an equivalent circuit including a piezoelectric sheet of the present invention; Figure 4 A schematic diagram of a circuit module and a control module for realizing the parameters of the equivalent circuit according to the present invention; Figure 5 Schematic diagram of a circuit block diagram based on a circuit module in the present invention; Figure 6 A diagram showing a comparison of the system responses of a parameter control device for a nonlinear vibration absorber of a thin-walled component under different excitation levels and a diagram showing a comparison of the time domain responses under 57 Hz excitation; Figure 7 This is a physical diagram of a parameter control device for a nonlinear vibration absorber based on a thin-walled component in the present invention; Description of reference numerals: 1: signal acquisition module; 2: signal scaling module; 201: first resistor; 202: second resistor; 3: signal bias module; 4: bias output module; 5: feedback output module; 501: fourth resistor; 502: fifth resistor; 503: sixth resistor; 504: seventh resistor; 505: eighth resistor. DETAILED DESCRIPTION

[0019] The present invention will be further described below in conjunction with the accompanying drawings and specific embodiments. The advantages and features of the present invention will become more apparent from the following description and claims. It should be noted that the drawings are greatly simplified and not to exact ratios, and are intended solely to facilitate and clearly illustrate the embodiments of the present invention.

[0020] It should be noted that all directional indications in the embodiments of the present invention (such as up, down, left, right, front, back, etc.) are only used to explain the relative position relationship, movement status, etc. between the various components under a certain specific posture (as shown in the accompanying drawings). If the specific posture changes, the directional indication will also change accordingly.

[0021] First embodiment See also Figures 1 to 7 In a first aspect, the present invention provides a parameter control method for a nonlinear vibration absorber of a thin-walled component, which is applied to a parameter control device for a nonlinear vibration absorber of a thin-walled component. The parameter control device includes a thin-walled component plate module, a piezoelectric module, a circuit module, and a control module. The parameter control method includes the following steps: S100: Acquiring signal data of the piezoelectric module under control of an external force that sequentially drives the thin-walled component plate module and the piezoelectric sheet of the piezoelectric module; S200: acquiring a control input voltage, a control output voltage, and a bias output voltage of the circuit module through the circuit module and the control module in sequence based on the bias input voltage and the signal data; S300: Obtaining parameters of an equivalent circuit based on the signal data and the external force through a thin-walled structure dynamic model and a control model, wherein the parameters of the equivalent circuit are used to control parameters of the nonlinear vibration absorber; S400: Acquire linear parameters and nonlinear parameters of the control module based on signal data, control input voltage, control output voltage, bias input voltage, and bias output voltage, so as to adapt the nonlinear parameters to capacitance parameters in the parameters of the equivalent circuit, and adapt the linear parameters to inductance parameters and resistance parameters in the parameters of the equivalent circuit.

[0022] The working principle of the parameter control device: The external force sequentially drives the thin-walled component plate module and the piezoelectric sheet of the piezoelectric module to obtain the signal data of the piezoelectric module; the piezoelectric transducer outputs the signal data and obtains the input voltage through the voltage receiving unit of the acquisition module The voltage receiving unit includes a signal method of the signal scaling module 2 and a bias input voltage of the signal bias module 3, wherein the gain of the signal scaling module 2 is , the voltage flows through the control module. To ensure that the control output voltage of the control module MCU is positive, a built-in bias voltage is introduced in the control module regulation. , considering that the voltage range generated by the piezoelectric transducer is , in order to avoid signal saturation, bias the input voltage Should meet The control output voltage flows through the bias output module 4 and outputs the bias output voltage. The input bias due to the transfer function of the control module is removed. The DC current after filtering the DC bias voltage flows through the feedback output module 5 to implement the reverse proportional amplification circuit to restore the original signal amplitude. Based on the above circuit, the control module obtains linear parameters and nonlinear parameters that are compatible with the parameters of the equivalent circuit. Figure 4 For the specific circuit diagram, Figure 5 It is a block diagram corresponding to the specific circuit diagram.

[0023] See also Figure 1 :The parameter control method is based on the above parameter control device. For the specific workflow, see Figure 2 Parameter control process for suppressing the vibration of thin plate structures: S100: An external force sequentially drives the thin-walled component plate module and the piezoelectric sheet of the piezoelectric module to obtain signal data of the piezoelectric module; S200: acquiring a control input voltage, a control output voltage, and a bias output voltage of the circuit module through the circuit module and the control module in sequence based on the bias input voltage and the signal data; S300: Obtain parameters of an equivalent circuit based on the signal data and the external force through a thin-walled structure dynamic model and a control model; for specific equivalent circuits, see Figure 3 ,in Figure 3 The left schematic diagram is an equivalent circuit including a piezoelectric patch. Figure 3 The schematic diagram shows the inductance parameters in the equivalent circuit that are controlled by the control module. , resistance parameters in the equivalent circuit parameters , capacitance parameters in the equivalent circuit parameters Solution: Based on the characteristics of thin-walled components and the control equation of the electromechanical coupling system, the capacitance parameters in the equivalent circuit parameters are obtained through the Hamilton principle and the improved Ritz method. , resistance parameters in the equivalent circuit parameters , resistance parameters in the equivalent circuit parameters , the parameters of the equivalent circuit are used to control the parameters of the nonlinear vibration absorber, including at least the resonant frequency, the damping coefficient, etc.; The specific process is: The thin-walled component plate module is based on the thin-walled structure dynamic model and the control model of the piezoelectric sheet of the piezoelectric module to construct a first model, and the calculation expression is: In the formula 、 、 are the mass matrix, damping matrix, and stiffness matrix of the thin-walled component plate module, respectively. is the external force, is the preset electromechanical coupling vector, is the voltage of the piezoelectric piece, is the displacement data of the signal data; An equivalent circuit is constructed based on the piezoelectric module, and a first circuit control nonlinear equation and a second circuit control nonlinear equation containing parameters of the equivalent circuit are constructed based on the equivalent circuit. The calculation expressions are: In the formula is the electromechanical coupling vector, is the capacitance of the piezoelectric piece, is the capacitance parameter in the equivalent circuit parameters, is the charge of the signal data, is the inductance parameter in the equivalent circuit parameters, is the resistance parameter among the parameters of the equivalent circuit; By expressing the displacement in the modal coordinate system and consider Figure 2 The short-circuit characteristic value ( ), get the displacement data special expression: In the formula is the i-th short-circuit eigenvalue, N is the total number of modes, Represents the mechanical modal coordinates.

[0024] Based on the first model, the first simplified formula is obtained through modal reduction processing and displacement data special expression. The calculation expression is: In the formula 、 、 and are modal mass, damping, stiffness and modal electromechanical coupling coefficient respectively; Based on the first circuit control nonlinear equation and the second circuit control nonlinear equation, the first nonlinear coupling equation and the second nonlinear coupling equation are obtained by simplifying the first simplified formula. The calculation expressions are: In the formula 、 、 are modal mass, damping and stiffness respectively, is the modal electromechanical coupling coefficient, The capacitance of the piezoelectric piece, Equivalent capacitance parameters of the equivalent circuit, is the charge of the signal data, is the equivalent inductance parameter of the equivalent circuit, is the equivalent resistance parameter of the equivalent circuit; Based on the first nonlinear coupling equation and the second nonlinear coupling equation, the first dimensionless equation and the second dimensionless equation are obtained through dimensionless transformation. The calculation expressions are: In the formula for , Natural frequency, for , The value is , represents the mechanical modal coordinates, Resistor ratio, is a linear factor, The modal electromechanical coupling factor is , is the inductance parameter of the nonlinear circuit, is the electrical frequency, The capacitance of the piezoelectric piece, Resistor ratio, is the resistance parameter of the nonlinear circuit, is a linear factor, is the natural frequency.

[0025] Based on the first dimensionless equation and the second dimensionless equation, the capacitance parameters, inductance parameters, and resistance parameters of the equivalent circuit are obtained respectively. The calculation expressions are: Based on the first dimensionless equation and the second dimensionless equation, the following equation can be obtained: ; In the formula is the dimensionless resonant frequency of the circuit, is the excitation force frequency, The excitation force amplitude in modal coordinates, is the excitation frequency.

[0026] S400: The step of obtaining linear parameters and nonlinear parameters of the control module based on the signal data, the control input voltage, the control output voltage, the bias input voltage, and the bias output voltage specifically includes: The control input voltage is obtained based on the displacement voltage of the signal data and the bias input voltage, and the calculation expression is: In the formula is the gain of the signal scaling module 2 of the circuit module, the input bias voltage; Construct an equation containing linear parameters and the output voltage of the control module, and the calculation expression is: In the formula is a linear parameter adapted to the inductance parameter and the resistance parameter in the parameters of the equivalent circuit, is the control input voltage, is the built-in bias voltage of the control module; The built-in bias voltage equation of the control module is obtained based on the bias input voltage and the bias output voltage, and the calculation expression is: In the formula is the bias output voltage, The input bias voltage, is the DC gain of the transfer function; The linear parameter is obtained based on the output voltage equation of the control module and the built-in bias voltage equation of the control module. The calculation expression is: In the formula is the resistance parameter in the parameters of the equivalent circuit, is the inductance parameter in the equivalent circuit parameters, is the electrical frequency, The sixth resistor 503 of the feedback output module 5 of the circuit module; The nonlinear parameter is obtained through the control module based on the signal data, and the calculation expression is: In the formula is the charge data of the signal data, is the capacitance parameter in the parameters of the equivalent circuit.

[0027] Parameter control of thin plate structure vibration can achieve parameter control of thin wall structure and perform vibration suppression based on the obtained parameters. The specific vibration suppression case results are shown in Figure 6 This figure shows the control effect of digital programmable nonlinear piezoelectric vibration absorber (PNES) on structural vibration, which is divided into frequency response ( Figure 6 a) and time domain response ( Figure 6 b) Two parts. Figure 6Figure a shows the steady-state response amplitude of the structure at different excitation frequencies, with frequency (Hz) on the horizontal axis and displacement amplitude (mm) on the vertical axis. The solid black line represents the case without PNES, the dotted blue line represents the simulation with PNES, and the dashed red line represents the experimental case with PNES. Without PNES, the system exhibits a significant resonance peak at approximately 56 Hz, with a maximum displacement of 0.522 mm. However, with the introduction of PNES, the resonance peak is effectively suppressed, with the experimental peak dropping to 0.198 mm, an attenuation of 62.1%, and the simulated peak dropping to 0.165 mm, an attenuation of 68.4%. This demonstrates that parameter control for suppressing the vibration of thin plate structures is highly accurate and adaptable to complex environments. Figure 6 b shows the experimental time-domain vibration response of the system at an excitation frequency of 57 Hz, with time (s) on the horizontal axis and displacement (mm) on the vertical axis. The black figure shows the experimental response without PNES, which exhibits a large amplitude and significant fluctuations, while the blue figure shows the experimental response after the introduction of PNES, with significantly converged fluctuations and an overall decrease in amplitude, further verifying the excellent control accuracy of PNES under random or continuous excitation conditions and its adaptability to complex environments. Figure 7 , clearly demonstrated a parameter control method for a nonlinear vibration absorber of thin-walled components. The device realized dynamic control of parameters in both frequency domain and time domain, providing a data basis for the vibration reduction of the nonlinear vibration absorber.

[0028] Preferably, the step of obtaining parameters of the equivalent circuit based on the signal data and the external force through the thin-walled structure dynamic model and the control model further includes: The first model is constructed based on the thin-walled component plate module through the thin-walled structure dynamic model and the control model of the piezoelectric plate of the piezoelectric module. The calculation expression is: In the formula 、 、 are the mass matrix, damping matrix, and stiffness matrix of the thin-walled component plate module, is the external force, is the preset electromechanical coupling vector, is the voltage of the piezoelectric piece, is the displacement data of the signal data; An equivalent circuit is constructed based on the piezoelectric module. Based on the equivalent circuit, a first circuit control nonlinear equation and a second circuit control nonlinear equation containing the parameters of the equivalent circuit are constructed. The calculation expressions are: In the formula is the electromechanical coupling vector, is the capacitance of the piezoelectric piece, is the capacitance parameter in the equivalent circuit parameters, is the charge of the signal data, is the inductance parameter in the equivalent circuit parameters, is the resistance parameter in the parameters of the equivalent circuit; Based on the first model, the first simplified formula is obtained through modal reduction processing and displacement data special expression. The calculation expression is: In the formula 、 、 and are modal mass, damping, stiffness and modal electromechanical coupling coefficient respectively; Based on the first circuit control nonlinear equation and the second circuit control nonlinear equation, First dimensionless equation, second dimensionless equation; Based on the first dimensionless equation and the second dimensionless equation, the capacitance parameters, inductance parameters, and resistance parameters of the equivalent circuit are obtained respectively. The calculation expressions are: In the formula is the inductance parameter in the equivalent circuit parameters, is the resistance parameter in the equivalent circuit parameters, is the capacitance parameter in the equivalent circuit parameters, is the electrical frequency, The capacitance of the piezoelectric piece, Resistor ratio, is a linear factor, is the natural frequency. Convert the circuit control equation into dimensionless form ( ), unifying mechanical and electrical time scales.

[0029] Based on the correlation between mechanical displacement and circuit charge and through the electromechanical coupling vector, the equivalent circuit parameters can reflect the dynamic characteristics of thin-walled components in real time. Through modal reduction, the high-dimensional mass matrix and damping matrix are simplified into a modal coordinate single-degree-of-freedom system, reducing the computational complexity.

[0030] Preferably, the displacement data profile expression is: In the formula is the i-th short-circuit eigenvalue, N is the total number of modes, Represents the mechanical modal coordinates.

[0031] Preferably, the step of obtaining the first dimensionless equation and the second dimensionless equation based on the first circuit control nonlinear equation and the second circuit control nonlinear equation further includes: Based on the first circuit control nonlinear equation and the second circuit control nonlinear equation, the first nonlinear coupling equation and the second nonlinear coupling equation are obtained by simplifying the first simplified formula. The calculation expressions are: In the formula 、 、 are modal mass, damping and stiffness respectively, is the modal electromechanical coupling coefficient, The capacitance of the piezoelectric piece, Equivalent capacitance parameters of the equivalent circuit, is the charge of the signal data, is the equivalent inductance parameter of the equivalent circuit, is the equivalent resistance parameter of the equivalent circuit; Based on the first nonlinear coupling equation and the second nonlinear coupling equation, the first dimensionless equation and the second dimensionless equation are obtained through dimensionless transformation. The calculation expressions are: In the formula for , Natural frequency, for , The value is , represents the mechanical modal coordinates, Resistor ratio, is a linear factor, The modal electromechanical coupling factor is , is the inductance parameter of the nonlinear circuit, is the electrical frequency, The capacitance of the piezoelectric piece, Resistor ratio, is the resistance parameter of the nonlinear circuit, is a linear factor, is the natural frequency.

[0032] Bidirectional conversion of mechanical vibration characteristics and circuit parameters enables precise mapping. Capacitor nonlinearity increases the vibration absorption bandwidth, providing a data foundation for subsequent nonlinear suppression control. Modal reduction and dimensionless transformation reduce engineering complexity, and linear and nonlinear parameters synergistically optimize dynamic performance. Ultimately, this system achieves efficient, broadband, and nonlinear active vibration control of thin-walled components, making it suitable for applications such as aerospace and marine applications, where lightweighting and high reliability are crucial. and Independently adjust the nonlinear intensity and damping characteristics to achieve precise control; dimensionless parameters adapt to multi-modal vibrations to increase the vibration absorption bandwidth; and reduce the implementation complexity of multi-physics field coupling systems.

[0033] Preferably, the step of obtaining linear parameters and nonlinear parameters of the control module based on the signal data, the control input voltage, the control output voltage, the bias input voltage, and the bias output voltage further includes: The control input voltage is obtained based on the displacement voltage and bias input voltage of the signal data. The calculation expression is: In the formula is the gain of the signal scaling module 2 of the circuit module, Input bias voltage; Construct an output voltage equation including linear parameters and control modules, and the calculation expression is: In the formula is a linear parameter that matches the inductance and resistance parameters in the equivalent circuit. To control the input voltage, It is the built-in bias voltage of the control module; Based on the bias input voltage and bias output voltage, the built-in bias voltage equation of the control module is obtained. The calculation expression is: In the formula is the bias output voltage, Input bias voltage, is the DC gain of the transfer function; Obtaining linear parameters based on an output voltage equation of the control module and a built-in bias voltage equation of the control module; The nonlinear parameters are obtained through a control module based on the signal data.

[0034] Using signal scaling module 2 gain Adapt to different magnitudes of displacement input to avoid signal saturation; through input bias voltage Improve the accuracy of control input. Linear parameters Adjust the dynamic response speed of the system by and Match the impedance characteristics of the mechanical system and optimize the energy dissipation path; avoid the phase lag caused by pure linear control and enhance the ability to suppress high-frequency vibrations.

[0035] Preferably, the calculation expression of the linear parameter is: In the formula is the resistance parameter in the equivalent circuit parameters, is the inductance parameter in the equivalent circuit parameters, is the electrical frequency, The sixth resistor 503 of the feedback output module 5 of the circuit module; The calculation expression of nonlinear parameters is: In the formula is the charge data of the signal data, is the capacitance parameter in the equivalent circuit parameters.

[0036] Second embodiment See also Figure 4 、 Figure 5 and Figure 7 In a second aspect, the present invention provides a parameter control device for a nonlinear vibration absorber of a thin-walled component, comprising: Thin-walled component plate module, used to generate displacement driven by external force; A piezoelectric module, the end face of which is fixedly connected to the thin-walled component plate module, the piezoelectric module comprising a piezoelectric patch and a piezoelectric transducer, the piezoelectric patch being provided with a coordinate system for obtaining signal data of the piezoelectric module by driving the piezoelectric module based on the thin-walled component plate; A circuit module, wherein a displacement signal input terminal of the circuit module is connected to an output terminal of the piezoelectric module, and is used to obtain a control input voltage and a bias output voltage based on the signal data and the bias input voltage; The control module, the output end of the circuit module is connected to the input end of the control module, and the input end of the feedback signal of the circuit module is connected to the output end of the control module, and is used to obtain the parameters of the equivalent circuit of the piezoelectric module based on the signal data and the parameters adapted to the parameters of the equivalent circuit based on the signal data, the control input voltage, the control output voltage, the bias input voltage and the bias.

[0037] The circuit module includes an acquisition module, a signal scaling module 2, a signal bias module 3, a bias output module 4, and a feedback output module 5. The functions of the circuit module are mainly as follows: the output voltage of the piezoelectric transducer is relatively high (the voltage in this embodiment can be as high as hundreds of volts), the control module adopts an MCU, and the traditional MCU cannot process negative voltage signals and the operating voltage is much lower than the output voltage of the piezoelectric transducer (lower than 10V in this embodiment). At the same time, the output voltage of the control module is AC current, and the output of the piezoelectric module is DC AC. The circuit module is used to provide adaptive working voltage and current for the MCU and the piezoelectric module. The control module obtains linear parameters and nonlinear parameters that are adapted to the parameters of the equivalent circuit based on the control input voltage and the control output voltage. The acquisition module includes a first operational amplifier U1, the signal scaling module 2 includes a second operational amplifier U2, the signal bias module 3 includes a third operational amplifier U3, the bias output module 4 includes a fourth operational amplifier U4, and the feedback output module 5 includes a fifth operational amplifier U5. The resistance of the circuit module is selected as follows: the first resistor 201, the fourth resistor 501, and the eighth resistor 505 use the same resistance value R a The second resistor 202, the fourth resistor 501, and the fifth resistor 502 use resistors with the same resistance R b The control module adopts MCU, and the traditional MCU cannot process negative voltage signals. Therefore, the circuit module is provided with a signal bias module 3, and the bias input voltage of the signal bias module 3 is used to compensate the input voltage of the signal data.

[0038] The working principle is: the external force drives the thin-walled component plate module and the piezoelectric sheet of the piezoelectric module in turn to obtain the signal data of the piezoelectric module; the piezoelectric transducer outputs the signal data and obtains the input voltage through the voltage receiving unit of the acquisition module The voltage receiving unit includes a signal method of the signal scaling module 2 and a bias input voltage of the signal bias module 3, wherein the gain of the signal scaling module 2 is , the voltage flows through the control module. To ensure that the control output voltage of the control module MCU is positive, a built-in bias voltage is introduced in the control module regulation. , considering that the voltage range generated by the piezoelectric transducer is , in order to avoid signal saturation, bias the input voltage Should meet The control output voltage flows through the bias output module 4 and outputs the bias output voltage. The input bias due to the transfer function of the control module is removed. The DC current after filtering the DC bias voltage flows through the feedback output module 5 to implement the reverse proportional amplification circuit to restore the original signal amplitude. Based on the above circuit, the control module obtains linear parameters and nonlinear parameters that are compatible with the parameters of the equivalent circuit. Figure 4 For the specific circuit diagram, Figure 5 It is a block diagram corresponding to the specific circuit diagram.

[0039] Preferably, the circuit module includes a signal acquisition module 1, a signal scaling module 2, and a signal bias module 3. The signal acquisition module 1 is provided with a first operational amplifier U1, the signal scaling module 2 is provided with a second operational amplifier U2, a first circuit, and a second resistor 202, and the signal bias module 3 is provided with a third operational amplifier U3; the displacement signal input end of the circuit module is connected to the non-inverting input end of the first operational amplifier U1, the feedback signal input end of the circuit module is connected to the output end of the third operational amplifier U3, the inverting input end of the first operational amplifier U1, the output end of the first operational amplifier U1, the first resistor 201, and the inverting input end of the second operational amplifier U2 are connected in sequence, the inverting input end of the second operational amplifier, the second resistor 202, and the output end of the second operational amplifier U2 are connected in sequence, and the non-inverting input end of the second operational amplifier is grounded.

[0040] The voltage receiving unit includes the signal method of the signal scaling module 2 and the bias input voltage of the signal bias module 3, wherein the gain of the signal scaling module 2 is , the voltage flows through the control module. To ensure that the control output voltage of the control module MCU is positive, a built-in bias voltage is introduced in the control module regulation. , considering that the voltage range generated by the piezoelectric transducer is , in order to avoid signal saturation, bias the input voltage Should meet .

[0041] Preferably, the circuit module also includes a signal bias output module 4 and a feedback output module 5. The signal bias output module 4 includes a fourth operational amplifier U4, and the feedback output module 5 includes a fifth operational amplifier U5, a fourth resistor 501, a fifth resistor 502, a sixth resistor 503, a seventh resistor 504, and an eighth resistor 505; the feedback signal input end of the circuit module is connected to the inverting input end of the fourth operational amplifier U4; the output end of the fourth operational amplifier U4, the fifth resistor 502, the fourth resistor 501, and the output end of the fifth operational amplifier U5 are connected in series in sequence, and the displacement signal input end of the circuit module, the sixth resistor 503, and the output end of the fifth operational amplifier are connected in series in sequence; the displacement signal input end of the circuit module, the seventh resistor 504, and the eighth resistor 505 are connected in series in sequence and grounded, the non-inverting input end of the fifth operational amplifier is connected to the common end of the seventh resistor 504 and the eighth resistor 505, and the inverting input end of the fifth operational amplifier is connected to the common end of the fourth resistor 501 and the fifth resistor 502.

[0042] The output voltage is controlled to flow through the output end of the fourth operational amplifier U4 to filter the DC bias voltage, and the linear parameters are obtained based on the inductance parameter and the resistance parameter in the sixth resistor 503 and the parameters of the equivalent circuit through the setting of the feedback output module 5.

[0043] Preferably, the first resistor 201, the fourth resistor 501, and the eighth resistor 505 are resistors with the same resistance R a The second resistor 202, the fourth resistor 501, and the fifth resistor 502 use resistors with the same resistance R b .

[0044] Based on the set resistance value, the gain of signal scaling module 2 .

[0045] In the description of this application, it should be noted that the terms "inner" and "outer" and the like indicate orientations or positional relationships based on the orientations or positional relationships shown in the accompanying drawings, or the orientations or positional relationships in which the product of this application is typically placed when in use. These terms are used solely to facilitate the description of this application and to simplify the description, and do not indicate or imply that the device or element referred to must have a specific orientation, be constructed, or operate in a specific orientation. Therefore, they should not be construed as limitations on this application. Furthermore, the terms "first" and "second" and the like are used solely to distinguish descriptions and should not be construed as indicating or implying relative importance.

[0046] It should also be noted that, unless otherwise expressly specified or limited, the terms "disposed" and "connected" should be interpreted broadly. For example, they can refer to fixed connections, detachable connections, or integral connections; they can refer to direct connections, indirect connections through an intermediate medium, or internal connections between two components. Those skilled in the art will understand the specific meanings of the above terms in this application based on the specific circumstances.

[0047] Those skilled in the art can clearly understand that, for the convenience and brevity of description, the identification content specifically executed by the above-described system and device can refer to the corresponding process in the aforementioned method embodiment.

[0048] The embodiments of the present invention have been described in detail above with reference to the accompanying drawings, but the present invention is not limited to the above embodiments. Even if various changes are made to the present invention, if these changes fall within the scope of the claims of the present invention and their equivalents, they still fall within the scope of protection of the present invention.

Claims

1. A parameter control method for a nonlinear vibration absorber of a thin-walled component, applied to a parameter control device for a nonlinear vibration absorber of a thin-walled component, characterized in that: The parameter control device includes a thin-walled component plate module, a piezoelectric module, a circuit module, and a control module; The parameter control method comprises the following steps: Controlled by an external force that sequentially drives the thin-walled component plate module and the piezoelectric sheet of the piezoelectric module, signal data of the piezoelectric module is obtained; Based on the bias input voltage and the signal data, sequentially obtaining the control input voltage, the control output voltage and the bias output voltage of the circuit module through the circuit module and the control module; Based on the signal data and the external force, parameters of an equivalent circuit are obtained through a thin-walled structure dynamic model and a control model, and the parameters of the equivalent circuit are used to control parameters of a nonlinear vibration absorber; The linear parameters and nonlinear parameters of the control module are obtained based on the signal data, the control input voltage, the control output voltage, the bias input voltage and the bias output voltage, so as to achieve adaptation of the nonlinear parameters to the capacitance parameters in the parameters of the equivalent circuit, and adaptation of the linear parameters to the inductance parameters and resistance parameters in the parameters of the equivalent circuit.

2. The parameter control method of a nonlinear vibration absorber for a thin-walled component according to claim 1, characterized in that: The step of obtaining parameters of an equivalent circuit based on the signal data and the external force through a thin-walled structure dynamic model and a control model further includes: The thin-walled component plate module is based on the thin-walled structure dynamic model and the control model of the piezoelectric sheet of the piezoelectric module to construct a first model, and the calculation expression is: In the formula 、 、 are the mass matrix, damping matrix, and stiffness matrix of the thin-walled component plate module, respectively. is the external force, is the preset electromechanical coupling vector, is the voltage of the piezoelectric piece, is the displacement data of the signal data; An equivalent circuit is constructed based on the piezoelectric module, and a first circuit control nonlinear equation and a second circuit control nonlinear equation containing parameters of the equivalent circuit are constructed based on the equivalent circuit. The calculation expressions are: In the formula is the electromechanical coupling vector, is the capacitance of the piezoelectric piece, is the capacitance parameter in the equivalent circuit parameters, is the charge of the signal data, is the inductance parameter in the equivalent circuit parameters, is the resistance parameter among the parameters of the equivalent circuit; Based on the first model, a first simplified formula is obtained through modal reduction processing and the displacement data special expression, and the calculation expression is: In the formula 、 、 and are modal mass, damping, stiffness and modal electromechanical coupling coefficient respectively; Based on the first circuit control nonlinear equation and the second circuit control nonlinear equation, First dimensionless equation, second dimensionless equation; Based on the first dimensionless equation and the second dimensionless equation, the capacitance parameter, the inductance parameter, and the resistance parameter of the equivalent circuit are respectively obtained, and the calculation expressions are: In the formula is the inductance parameter in the equivalent circuit parameters, is the resistance parameter in the parameters of the equivalent circuit, is the capacitance parameter in the equivalent circuit parameters, is the electrical frequency, The capacitance of the piezoelectric piece, Resistor ratio, is a linear factor, is the natural frequency.

3. The parameter control method of a nonlinear vibration absorber for a thin-walled component according to claim 2, characterized in that: The displacement data profile expression is: In the formula is the i-th short-circuit eigenvalue, N is the total number of modes, Represents the mechanical modal coordinates.

4. The parameter control method of a nonlinear vibration absorber for a thin-walled component according to claim 2, characterized in that: The step of obtaining a first dimensionless equation and a second dimensionless equation based on the first circuit control nonlinear equation and the second circuit control nonlinear equation further includes: Based on the first circuit control nonlinear equation and the second circuit control nonlinear equation, a first nonlinear coupling equation and a second nonlinear coupling equation are obtained by simplifying the first simplified formula, and the calculation expressions are respectively: In the formula 、 、 are modal mass, damping and stiffness respectively, is the modal electromechanical coupling coefficient, The capacitance of the piezoelectric piece, The equivalent capacitance parameter of the equivalent circuit is, is the charge data of the signal data, is the equivalent inductance parameter of the equivalent circuit, is the equivalent resistance parameter of the equivalent circuit; Based on the first nonlinear coupling equation and the second nonlinear coupling equation, the first dimensionless equation and the second dimensionless equation are obtained through dimensionless transformation. The calculation expressions are: In the formula for , Natural frequency, for , The value is , represents the mechanical modal coordinates, Resistor ratio, is a linear factor, The modal electromechanical coupling factor is , is the inductance parameter of the nonlinear circuit, is the electrical frequency, The capacitance of the piezoelectric piece, Resistor ratio, is the resistance parameter of the nonlinear circuit, is a linear factor, is the natural frequency.

5. The parameter control method of a nonlinear vibration absorber for a thin-walled component according to claim 1, characterized in that: The step of obtaining linear parameters and nonlinear parameters of the control module based on the signal data, the control input voltage, the control output voltage, the bias input voltage, and the bias output voltage further includes: The control input voltage is obtained based on the displacement voltage of the signal data and the bias input voltage, and the calculation expression is: In the formula is the gain of the signal scaling module of the circuit module, the input bias voltage; Construct an equation containing linear parameters and the output voltage of the control module, and the calculation expression is: In the formula is a linear parameter adapted to the inductance parameter and the resistance parameter in the parameters of the equivalent circuit, is the control input voltage, is the built-in bias voltage of the control module; The built-in bias voltage equation of the control module is obtained based on the bias input voltage and the bias output voltage, and the calculation expression is: In the formula is the bias output voltage, The input bias voltage, is the DC gain of the transfer function; Obtaining the linear parameter based on an output voltage equation of the control module and a built-in bias voltage equation of the control module; The nonlinear parameter is obtained by a control module based on the signal data.

6. The parameter control method of a nonlinear vibration absorber for a thin-walled component according to claim 5, characterized in that: The calculation expression of the linear parameter is: In the formula is the resistance parameter in the parameters of the equivalent circuit, is the inductance parameter in the equivalent circuit parameters, is the electrical frequency, The sixth resistor of the feedback output module of the circuit module; The calculation expression of the nonlinear parameter is: In the formula is the charge data of the signal data, is the capacitance parameter in the parameters of the equivalent circuit.

7. A parameter control device for a nonlinear vibration absorber of a thin-walled component, characterized in that: include: Thin-walled component plate module, used to generate displacement driven by external force; A piezoelectric module, wherein an end face of the piezoelectric module is fixedly connected to the thin-walled component plate module, the piezoelectric module comprising a piezoelectric patch and a piezoelectric transducer, the piezoelectric patch being provided with a coordinate system for obtaining signal data of the piezoelectric module by driving the piezoelectric module based on the thin-walled component plate module; a circuit module, wherein a displacement signal input terminal of the circuit module is connected to an output terminal of the piezoelectric module, and is configured to obtain a control input voltage and a bias output voltage based on the signal data and the bias input voltage; A control module, wherein the output end of the circuit module is connected to the input end of the control module, and the input end of the feedback signal of the circuit module is connected to the output end of the control module, and is used to obtain parameters of the equivalent circuit of the piezoelectric module based on the signal data and parameters adapted to the parameters of the equivalent circuit based on the signal data, the control input voltage, the control output voltage, the bias input voltage and the bias.

8. The parameter control device for a nonlinear vibration absorber of a thin-walled component according to claim 7, characterized in that: The circuit module includes a signal acquisition module, a signal scaling module, and a signal bias module. The signal acquisition module is provided with a first operational amplifier, the signal scaling module is provided with a second operational amplifier, a first circuit, and a second resistor, and the signal bias module is provided with a third operational amplifier; the displacement signal input end of the circuit module is connected to the non-inverting input end of the first operational amplifier, the feedback signal input end of the circuit module is connected to the output end of the third operational amplifier, the inverting input end of the first operational amplifier, the output end of the first operational amplifier, the first resistor, and the inverting input end of the second operational amplifier are connected in sequence, the inverting input end of the second operational amplifier, the second resistor, and the output end of the second operational amplifier are connected in sequence, and the non-inverting input end of the second operational amplifier is grounded.

9. The parameter control device for a nonlinear vibration absorber of a thin-walled component according to claim 8, characterized in that: The circuit module also includes a signal bias output module and a feedback output module. The signal bias output module includes a fourth operational amplifier, and the feedback output module includes a fifth operational amplifier, a fourth resistor, a fifth resistor, a sixth resistor, a seventh resistor, and an eighth resistor. The feedback signal input end of the circuit module is connected to the inverting input end of the fourth operational amplifier. The output end of the fourth operational amplifier, the fifth resistor, the fourth resistor, and the output end of the fifth operational amplifier are connected in series in sequence. The displacement signal input end of the circuit module, the sixth resistor, and the output end of the fifth operational amplifier are connected in series in sequence. The displacement signal input end of the circuit module, the seventh resistor, and the eighth resistor are connected in series in sequence and grounded. The non-inverting input end of the fifth operational amplifier is connected to the common end of the seventh resistor and the eighth resistor, and the inverting input end of the fifth operational amplifier is connected to the common end of the fourth resistor and the fifth resistor.

10. The parameter control device for a nonlinear vibration absorber of a thin-walled component according to claim 9, characterized in that: The first resistor, the fourth resistor, and the eighth resistor are resistors with the same resistance R a The second resistor, the fourth resistor, and the fifth resistor use resistors with the same resistance R b .

Images