A three-stable system circuit structure capable of realizing vibration resonance

Abstract

The utility model discloses a kind of three-stable system circuit structure of vibration resonance can be realized, comprising: adder module and three potential well integrator module;The adder module is composed of six resistors R1, R2, R a , R a1 , R a2 , R a3 And operational amplifier U1;The three potential well integrator module is composed of a proportional amplifier module, an integrator module and three coefficient multiplier modules (,,);Through the adder module and three potential well integrator module of construction, combined six resistors, three operational amplifiers, three analog multipliers, a capacitor and nine resistors etc. Element, a highly nonlinear three-stable system is jointly constructed.

Description

Technical Field

[0001] This utility model belongs to the field of weak signal detection, specifically relating to a tristable system circuit structure that can achieve vibration resonance. Background Technology

[0002] Detecting weak signals against a strong noise background is a common problem in many engineering fields. There are two types of methods for denoising the background noise during the extraction of feature information of weak signals. One type uses noise perturbation to improve the periodicity of weak signals, and a typical example is stochastic resonance (SR).

[0003] Random resonance occurs under the combined effects of a nonlinear system, noise signals, and input signals. However, random resonance is mostly generated by the injection of amplitude noise. Because the noise intensity is difficult to control, researchers cannot control the system output signal by adjusting the random resonance effect. Therefore, a new method for detecting weak nonlinear signals—vibration resonance—has been proposed.

[0004] Vibrational resonance occurs under the combined influence of a nonlinear system, a high-frequency periodic signal, and a low-frequency weak signal. Compared to random resonance, vibrational resonance essentially replaces noise with a high-frequency periodic force, using the high-frequency periodic signal as a modulation signal. By changing the amplitude or frequency of the high-frequency periodic signal, resonance is achieved at the low-frequency component of the output signal, thereby amplifying the weak signal. Therefore, vibrational resonance has an effect similar to random resonance (SR), but with the advantage of being more controllable.

[0005] In the mechanism of vibrational resonance, since the periodic force is fixed, the potential well force of the nonlinear system plays an important role in affecting the system's output performance. Currently, vibrational resonance has been widely studied in nonlinear systems such as monostable, bistable, and Chua's circuits, but it has not yet been studied in tristable systems. Moreover, tristable systems have the structural characteristics of three stable equilibrium points and two potential barriers, which play an important role in improving energy harvesting and enhancing the detection effect of weak signals.

[0006] Therefore, a tristable system circuit structure capable of achieving vibration resonance is needed to solve the above problems. Utility Model Content

[0007] To address the aforementioned technical problems, this invention designs a circuit structure for a tristable system capable of vibration resonance, effectively filling the research gap in achieving vibration resonance in tristable systems. Specifically, it improves the accuracy and sensitivity of signal recognition in complex noise environments, and through ingenious circuit construction, significantly optimizes the system's output characteristics. It cleverly utilizes three operational amplifiers as core amplification components, combined with three analog multipliers for signal modulation, a capacitor, and nine resistors to construct a highly nonlinear tristable system. It fully leverages the unique tristable equilibrium point and two-barrier structure characteristics of the tristable system to optimize the system's output signal.

[0008] To achieve the aforementioned technical effects, this utility model discloses a tristable system circuit structure capable of vibration resonance, comprising: an adder module and a three-potential-well integrator module; the adder module consists of six resistors R1, R2, R3, R4, R5, R6, R7, R8, R9, R1, R1, R1, R2 ... a R a1 R a2 R a3 It consists of an operational amplifier U1; the three-potential-well integrator module consists of a proportional amplifier module, an integrator module, and three multiplier modules (U4, U5, U6) with coefficients α.

[0009] The input of the adder module is a low-frequency periodic signal V. s and high-frequency weak signal V n The output terminal is connected to the input terminal of the three-potential-well integrator module; the output of the integrator module in the three-potential-well integrator module is the system output of the entire circuit.

[0010] Furthermore, one end of each of the six resistors in the adder module is connected to the inverting input of operational amplifier U1; the other end of resistor R1 is connected to a low-frequency weak signal V. s The input terminal of the resistor R2 is connected to the high-frequency periodic signal V. n The input terminal of the operational amplifier U1 is grounded, and the output terminal of the operational amplifier U1 is connected to the input terminal of the integrator module in the three-potential-well integrator module; the resistor R a The other end is connected to the output terminal of operational amplifier U1; the resistor R a1 The other end is connected to the output of the proportional amplifier module in the three-potential-well integrator module; the resistor R a2 The other end is connected to the output of the second multiplier U5 in the three-potential-well integrator module; the resistor R a3 The other end is connected to the output of the third multiplier U6 in the three potential well integrator module.

[0011] Furthermore, the proportional amplifier module includes two resistors R b1 R b2 and operational amplifier U3; the resistor R b1 One end is connected to the output of the integrator module, and the other end is connected to the inverting input of operational amplifier U3; the non-inverting input of operational amplifier U3 is grounded, and its output is connected to resistor R in the adder module. a1 Connection; the resistor R b2 One end is connected to the inverting input of operational amplifier U3, and the other end is connected to the output of operational amplifier U3.

[0012] Furthermore, the integrator module includes a resistor R. b Capacitor C1 and operational amplifier U2; resistor R b One end is connected to the output of operational amplifier U1, and the other end is connected to the inverting input of operational amplifier U2; the non-inverting input of operational amplifier U2 is grounded, and its output is connected to the resistor R of the proportional amplifier module in the three-potential-well integrator module. b1 Connection; one end of the capacitor C1 is connected to the inverting input terminal of the operational amplifier U2, and the other end is connected to the output terminal of the operational amplifier U2. The output terminal of the operational amplifier U2 is the output of the integrator module.

[0013] Furthermore, the multiplier module includes analog multipliers U4, U5, and U6, all with coefficients α, where α = 1 / 10V. -1 The first analog multiplier U4 has input pins 1 and 3, both connected to the output of operational amplifier U2. Its output pin is 7, and this output is connected to pin 3 of the second analog multiplier U5. Pins 2, 4, and 6 of analog multiplier U4 are grounded. The second analog multiplier U5 has input pins 1 and 3, with pin 1 connected to the output of operational amplifier U2. Its output pin is 7, and this output is connected to resistor R. a2 The analog multiplier U5 is grounded via pins 2, 4, and 6. The third analog multiplier U6 has pins 2 and 3 as inputs. Pin 2 of the analog multiplier U6's input is connected to the output of the second analog multiplier U5. Pin 3 of the analog multiplier U6's input is connected to the output of the first analog multiplier U4. The output of analog multiplier U6 is pin 7. The output of analog multiplier U6 is connected to resistor R in the adder module. a3 Connect the analog multiplier U6 to ground pins 1, 4, and 6.

[0014] Furthermore, pin 5 of the analog multipliers U4, U5, and U6 is connected to a -15V voltage, and pin 8 of the analog multipliers U4, U5, and U6 is connected to a +15V voltage.

[0015] The beneficial effects of this utility model are:

[0016] This invention designs a tristable system circuit structure capable of achieving vibration resonance, comprising: an adder module and a three-potential-well integrator module; the adder module consists of six resistors R1, R2, R3, R4, R5, R6, R7, R8, R9, R1, R1, R1, R2, R1 ... a R a1 R a2 R a3 The system consists of an operational amplifier U1; the three-potential-well integrator module comprises a proportional amplifier module, an integrator module, and three multiplier modules (U4, U5, U6) with coefficient α; through the constructed adder module and three-potential-well integrator module, combined with six resistors, three operational amplifiers, three analog multipliers, one capacitor, and nine resistors, a highly nonlinear tristable system is constructed. This structure fully utilizes the unique tristable equilibrium point and two-barrier structure characteristics of the tristable system. By adjusting the amplitude or frequency of the high-frequency periodic signal, resonance is precisely triggered at the low-frequency component of the output signal, thereby achieving significant amplification of weak signals and effectively suppressing background noise; the vibration resonance circuit of the tristable system optimizes the system output signal while ensuring output characteristics. Attached Figure Description

[0017] To more clearly illustrate the technical solutions of the embodiments of this utility model, the accompanying drawings used in the description of the embodiments will be briefly introduced below.

[0018] Figure 1 This is a schematic diagram of the vibration resonance circuit of the three-stable system of this utility model.

[0019] Figure 2 This is a graph showing the change in response amplitude as the amplitude of the high-frequency periodic signal changes when parameter a is -4 and the low-frequency periodic signal amplitude A is 0.25V.

[0020] Figure 3 This is a graph showing the change in response amplitude as the amplitude of the high-frequency periodic signal changes when parameter a is -8 and the low-frequency periodic signal amplitude A is 0.1V.

[0021] Figure 4 This is a graph showing the change in response amplitude as the amplitude of the high-frequency periodic signal changes when parameter a is -10 and the low-frequency periodic signal amplitude A is 0.05V. Detailed Implementation

[0022] This utility model discloses a circuit structure for a tristable system capable of achieving vibration resonance, comprising:

[0023] Example 1

[0024] In this embodiment, refer to Figure 1 As shown, a circuit structure for a tristable system capable of vibration resonance includes: an adder module and a three-potential-well integrator module; the adder module includes six resistors R1, R2, R3, R4, R5, R6, R7, R8, R9, R1, R1, R1, R2 ... a R a1 R a2 R a3 The operational amplifier U1; the three-potential-well integrator module includes an adder, an integrator, and three multipliers U4, U5, and U6 with coefficients α, used to construct a tristable system. The resistors R1, R2, and R6 in the adder module... a R a1 R a2 R a3 One end of each resistor is connected to the inverting input of operational amplifier U1; the other end of resistor R1 is connected to a low-frequency weak signal V. s The input terminal of the resistor R2 is connected to the high-frequency periodic signal V. n The input terminal of the operational amplifier U1 is grounded, and the output terminal of the operational amplifier U1 is connected to the input terminal of the integrator module in the three-potential-well integrator module; the resistor R a The other end is connected to the output terminal of operational amplifier U1; the resistor R a1 The other end is connected to the output of the proportional amplifier module in the three-potential-well integrator module; the resistor R a2 The other end is connected to the output terminal (pin 7) of the multiplier module U5 in the three-potential-well integrator module; the resistor R a3The other end is connected to the output terminal (pin 7) of the multiplier module U6 in the three-potential-well integrator module; one end of resistor R1 in the adder module is the input terminal of the low-frequency periodic signal, one end of resistor R2 is the input terminal of the high-frequency periodic signal, the other ends of resistor R1 and the other ends of resistor R2 are connected to the inverting input terminal of operational amplifier U1, the non-inverting input terminal of operational amplifier U1 is grounded, and the output terminal of operational amplifier U1 is connected to the input terminal of the integrator module in the three-potential-well integrator module; one end of resistor Ra is connected to the inverting input terminal of operational amplifier U1, and the other end of resistor Ra is connected to the output terminal of operational amplifier U1. In the adder module, one end of resistor Ra1 is connected to the inverting input of operational amplifier U1, and the other end of resistor Ra1 is connected to the output of operational amplifier U3; one end of resistor Ra2 is connected to the inverting input of operational amplifier U1, and the other end of resistor Ra2 is connected to the output of the second analog multiplier (i.e., analog multiplier U5); one end of resistor Ra3 is connected to the inverting input of operational amplifier U1, and the other end of resistor Ra3 is connected to the output of the third analog multiplier (i.e., analog multiplier U6). The input of the adder module is a low-frequency periodic signal V. s and high-frequency weak signal V n This allows the tristable system to vibrate and resonate under the influence of low-frequency periodic signals and high-frequency weak signals. The high-frequency periodic signal is used as the modulation signal, and the dynamic characteristics of the system are changed by adjusting the amplitude or frequency of the high-frequency periodic signal. The output of the adder module is connected to the input of the three-potential-well integrator module. The output of the integrator module in the three-potential-well integrator module is the system output of the entire circuit.

[0025] In the three-potential-well integrator module, one end of the resistor Rb is connected to the output of operational amplifier U1, and the other end is connected to the inverting output of operational amplifier U2. The non-inverting output of operational amplifier U2 is grounded, and the output of operational amplifier U2 is connected to one end of resistor Rb1. One end of capacitor C1 is connected to the output of operational amplifier U2, and the other end is connected to the inverting input of operational amplifier U2. The output of the integrator module is connected to the inputs of the first analog multiplier (i.e., analog multiplier U4) and the second analog multiplier (i.e., analog multiplier U5). The input of the multipliers is the output of operational amplifier U2, and the output of operational amplifier U2 is the output of the integrator module. In the three-potential-well integrator module, one end of the resistor Rb1 in the proportional amplifier module is connected to the output of operational amplifier U2, and the other end is connected to the inverting input of operational amplifier U3. The non-inverting input of operational amplifier U3 is grounded, and the output of operational amplifier U3 is connected to the resistor Rb1 in the adder module. a1Connections: One end of resistor Rb2 is connected to the inverting input terminal of operational amplifier U3, and the other end of resistor Rb2 is connected to the output terminal of operational amplifier U3; the multiplier module in the three-potential-well integrator module includes analog multipliers U4, U5, and U6 with coefficients α, where α = 1 / 10V. -1 The analog multiplier U4 has input pins 1 and 3, an output pin 7, and ground pins 2, 4, and 6. Input pins 1 and 3 of analog multiplier U4 are connected to the output of operational amplifier U2. Output pin 7 of analog multiplier U4 is connected to input pin 3 of the second analog multiplier U5. Ground pins 2, 4, and 6 of analog multiplier U4 are grounded. Similarly, the second analog multiplier U5 has input pins 1 and 3, an output pin 7, and ground pins 2, 4, and 6. Input pin 1 of analog multiplier U5 is connected to the output of operational amplifier U2. Pin 3 of analog multiplier U4 is connected to the output of the first analog multiplier U4. Pin 7 of the output of analog multiplier U5 is connected to the input of the third analog multiplier U6. Pins 2, 4, and 6 of the ground terminal of analog multiplier U5 are grounded. Pins 2 and 3 are the input of the third analog multiplier U6. Pin 7 is the output of analog multiplier U6. Pins 1, 4, and 6 are the ground terminal of analog multiplier U6. Pin 2 of the input of analog multiplier U6 is connected to the output of the second multiplier U5. Pin 3 of the input of analog multiplier U6 is connected to the output of the first analog multiplier U4. Pin 7 of the output of analog multiplier U6 is connected to one end of resistor Ra3. Pins 1, 4, and 6 of the ground terminal of analog multiplier U6 are grounded.

[0026] Specifically, in this embodiment, the basic principle of the vibration resonance of the three-stable system is as follows, and the mathematical model of the vibration resonance of the three-stable system is as follows:

[0027]

[0028] Where A is the amplitude of the low-frequency periodic signal, ω is the frequency of the low-frequency periodic signal, B is the amplitude of the high-frequency periodic signal, and Ω is the frequency of the high-frequency periodic signal. The tri-stable potential function corresponding to the model is:

[0029]

[0030] According to the circuit diagram of the tristable system (e.g.) Figure 1 As shown), based on basic circuit knowledge, we can obtain the output V of the system. x The circuit equations that are satisfied are:

[0031]

[0032] Where V s For low-frequency periodic signals, V n It is a high-frequency periodic signal.

[0033] The mathematical model of vibration resonance of a three-stable system corresponds one-to-one with the circuit equation of vibration resonance of a three-stable system. The corresponding parameters can be adjusted by adjusting the corresponding resistance value.

[0034] Example 2

[0035] In this embodiment, as Figures 2-4 As shown in the figure, the influence of different parameters on the system response amplitude Q is clearly displayed. This utility model discloses a vibration resonance circuit for a tristable system. This circuit can simplify the circuit structure, use fewer circuit components, and reduce the influence of noise generated by the circuit components themselves on the output signal while ensuring the vibration resonance circuit effect. The specific implementation effect analysis is as follows:

[0036] By adjusting the corresponding resistance parameters of the PCB board of the vibration resonance circuit of the three-stable system, the obtained data can be plotted using a graphing tool to observe the influence of different parameters on the response amplitude Q.

[0037] Figure 2 To determine the relationship between the amplitude B and response amplitude Q of the high-frequency periodic signal under theoretical calculations and circuit experiments, given a = -4, b = 1, c = -0.025, a low-frequency periodic signal amplitude A = 0.25V, a frequency of 0.25Hz, and a high-frequency periodic signal frequency of 4Hz, from... Figure 2 The analysis results show that the response amplitude Q initially increases, then decreases, then increases again, and then decreases again, consistent with the vibration resonance theory. Under theoretical calculations, the response amplitude Q reaches its peak value of approximately 0.6 at around B = 3.6V, and again at around B = 6.3V, with a peak value of approximately 2.3, after which the Q value gradually levels off. Under circuit experiments, the response amplitude Q reaches its peak value of 0.5954 at around B = 3.6V, and again at around B = 6.3V, with a peak value of 2.2443, after which the Q value gradually levels off. The three-stable system vibration resonance circuit exhibits excellent vibration resonance performance.

[0038] Figure 3 To determine the relationship between the amplitude B and response amplitude Q of the high-frequency periodic signal under theoretical calculations and circuit experiments, given a = -8, b = 1, c = -0.025, a low-frequency periodic signal amplitude A = 0.1V, a frequency of 0.25Hz, and a high-frequency periodic signal frequency of 4Hz, from... Figure 3The analysis results show that the response amplitude Q initially increases, then decreases, then increases again, and then decreases again, consistent with the vibration resonance theory. Under theoretical calculations, the response amplitude Q reaches its peak value of approximately 1.35 at around B = 3.2V, and again at around B = 6V, with a peak value of approximately 1.2. Afterward, the Q value gradually levels off. Under circuit experiments, the response amplitude Q reaches its peak value of 1.3092 at around B = 3.1V, and again at around B = 6.2V, with a peak value of 1.0611. Afterward, the Q value gradually levels off. The three-stable system vibration resonance circuit exhibits excellent vibration resonance performance.

[0039] Figure 4 To determine the relationship between the amplitude B and response amplitude Q of the high-frequency periodic signal under theoretical calculations and simulation experiments, given a = -10, b = 1, c = -0.025, a low-frequency periodic signal amplitude A = 0.05V, a frequency of 0.25Hz, and a high-frequency periodic signal frequency of 4Hz, this paper examines the relationship between the amplitude B and response amplitude Q of the high-frequency periodic signal under theoretical calculations and simulation experiments. Figure 4 The analysis results show that the response amplitude Q, like the change in B, exhibits a trend of first increasing, then decreasing, then increasing again, and then decreasing again, consistent with the vibration resonance theory. Under theoretical calculations, the response amplitude Q reaches its peak at approximately B = 4V, with a peak value of about 0.65. It then reaches another peak at approximately B = 6V, with a peak value of 0.64, after which the Q value gradually levels off. Under simulation experiments, the response amplitude Q reaches its peak at approximately B = 3.8V, with a peak value of 0.5954. It then reaches another peak at approximately B = 6.05V, with a peak value of about 0.4809, after which the Q value gradually levels off. The three-stable system vibration resonance circuit demonstrates excellent vibration resonance performance.

[0040] In summary, the vibration resonance circuit of the tristable system of this invention consists of two main parts. The first part is an adder, which adds the low-frequency periodic signal, the high-frequency periodic signal, and the output signals of the multiplier and adder in the second part. The second part is an integrator, whose input is connected to the output of the adder in the first part. The output of the integrator in the second part is the output of the system. This structure makes full use of the unique tristable equilibrium point and two-barrier structure characteristics of the tristable state. By adjusting the amplitude or frequency of the high-frequency periodic signal, resonance is precisely triggered at the low-frequency component of the output signal, thereby achieving significant amplification of weak signals and effectively suppressing background noise. The vibration resonance circuit of the tristable system optimizes the system output signal while ensuring output characteristics.

[0041] The preferred embodiments of the present invention disclosed above are only used to help illustrate the present invention. The preferred embodiments do not describe all the details in detail, nor do they limit the present invention to the specific implementation methods described.

Claims

1. A circuit structure for a tristable system capable of achieving vibration resonance, characterized in that, include: Adder module and three-potential-well integrator module; the adder module consists of six resistors R1, R2, R... a R a1 R a2 R a3 The three-potential-well integrator module consists of an operational amplifier U1 and an operational amplifier U1; the three-potential-well integrator module consists of a proportional amplifier module, an integrator module, and three coefficients. For the multiplier module ( , , ); The input of the adder module is a low-frequency periodic signal. and high-frequency weak signals The output terminal is connected to the input terminal of the three-potential-well integrator module; the output of the integrator module in the three-potential-well integrator module is the system output of the entire circuit.

2. The tristable system circuit structure capable of achieving vibration resonance according to claim 1, characterized in that, The six resistors in the adder module are all connected at one end to an operational amplifier. The inverting input terminal; the resistor The other end is connected to a low-frequency weak signal The input terminal; the resistor The other end is connected to a high-frequency periodic signal The input terminal of the operational amplifier; The non-inverting input terminal is grounded, and the operational amplifier... The output terminal is connected to the input terminal of the integrator module in the three-potential-well integrator module; the resistor The other end is connected to an operational amplifier. The output terminal; the resistor The other end is connected to the output of the proportional amplifier module in the three-potential-well integrator module; the resistor The other end connects to the second multiplier in the three-potential-well integrator module. The output terminal is connected; the resistor The other end is connected to the third multiplier in the three-potential-well integrator module. The output terminal.

3. The tristable system circuit structure capable of achieving vibration resonance according to claim 2, characterized in that, The proportional amplifier module includes two resistors. , and operational amplifier The resistor One end is connected to the output of the integrator module, and the other end is connected to the operational amplifier. The inverting input terminal; the operational amplifier The non-inverting input terminal is grounded, and the output terminal is connected to the resistor in the adder module. Connection; the resistor One end is connected to an operational amplifier The inverting input terminal is connected to the other end of an operational amplifier. The output terminal.

4. The tristable system circuit structure capable of vibration resonance according to claim 1, characterized in that, The integrator module includes resistors. ,capacitance and operational amplifier The resistor One end is connected to an operational amplifier The output terminal is connected to the operational amplifier at the other end. The inverting input terminal; the operational amplifier The non-inverting input terminal is grounded, and the output terminal is connected to the resistor of the proportional amplifier module in the three-potential-well integrator module. Connection; the capacitor One end is connected to an operational amplifier The inverting input terminal is connected to the other end of an operational amplifier. The operational amplifier at the output terminal The output of the integrator module is the output of the integrator.

5. The tristable system circuit structure capable of achieving vibration resonance according to claim 1, characterized in that, The multiplier module includes an analog multiplier. , , The coefficients are all ,coefficient The first analog multiplier The input terminals are pins 1 and 3, both of which are connected to the operational amplifier. The output terminal is connected to the analog multiplier. The output terminal is pin 7, which is an analog multiplier. The output is connected to a second analog multiplier. Pin 3 of the input terminal is the analog multiplier. Pins 2, 4, and 6 of the ground terminal are grounded; the second analog multiplier The input terminals are pins 1 and 3, which are analog multipliers. Pin 1 of the input terminal is connected to the operational amplifier. The output terminal of the analog multiplier The output terminal is pin 7, which is an analog multiplier. Output terminal and resistor Connection, analog multiplier Pins 2, 4, and 6 of the ground terminal are grounded; the third analog multiplier The input terminals are pins 2 and 3, which are analog multipliers. Pin 2 of the input terminal is connected to the second analog multiplier. The output terminal of the analog multiplier Pin 3 of the input terminal is connected to the first analog multiplier. The output terminal of the analog multiplier The output terminal is pin 7, which is an analog multiplier. The output terminal is connected to the resistor in the adder module. Connection, analog multiplier The grounding terminals 1, 4, and 6 are grounded.

6. The tristable system circuit structure capable of vibration resonance according to claim 5, characterized in that, The analog multiplier , , Pin 5 is connected to Voltage, the analog multiplier , , Pin 8 is connected to Voltage.

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