Adjustable nonlinear energy trap adjusting method and device

Abstract

The invention provides an adjustable nonlinear energy trap adjusting method and device. The method comprises the following steps: setting a plurality of adjustable nonlinear energy trap groups; obtaining the peak value of each order of response curve in the target frequency range of the controlled object; introducing the adjustable nonlinear energy trap group into a controlled object; obtaining the peak value of each order of response curve in the target frequency range of the controlled object; judging whether the controlled object has complex vibration response or not; a lower gradient adjustable nonlinear energy trap group is introduced; calculating a broadband control evaluation quantity; judging whether the broadband control evaluation quantity reaches a preset value or not; judging whether the upper limit of the current nonlinear rigidity adjusting range is reached or not; the non-linear rigidity of the adjustable non-linear energy sink group is increased; and a higher gradient adjustable nonlinear energy trap group is introduced. The technical scheme can be widely applied to the technical field of vibration reduction of complex vibration.

Description

Technical Field

[0001] The invention belongs to the technical field of vibration reduction, in particular to the technical field of vibration reduction of power devices. Background Art

[0002] As the "heart" of the ship, the power plant provides power for the normal navigation and operation of the ship. However, while providing power, the power plant inevitably generates vibrations. As the source of vibration, the power plant continuously radiates and transmits vibrations to other sections of the ship, which in turn generate vibrations in other sections. The ship's cabin is mainly composed of beam-slab structures connected to each other. The vibration excitation it receives has the characteristics of multiple source terms and multiple working conditions, resulting in a broadband characteristic of the overall vibration response of the ship's cabin.

[0003] Nonlinear energy sinks have good vibration reduction properties for broadband vibrations and are widely used in engineering practice. However, the current application of nonlinear energy sinks has the following problems:

[0004] After the nonlinear energy well is manufactured, its performance parameters are fixed. However, in practice, the operating state of the power device itself is not stable and will be disturbed by various situations, resulting in complex vibration responses. Even the addition of the nonlinear energy well itself is one of the factors that produce complex vibration responses. The nonlinear energy well with fixed performance parameters cannot adapt to such changes, which can easily make the vibration state of the power device worse. Summary of the invention

[0005] In order to solve the problem that the nonlinear energy well in the prior art cannot adapt to complex vibration responses, the present invention provides an adjustable nonlinear energy well adjustment method and device.

[0006] This invention was supported by the following projects: National Natural Science Foundation of China (52401364), Natural Science Research Project of Higher Education Institutions of Education of Guizhou Province (Youth Science and Technology Talent Growth Project, Qianjiaoji

[2024] No. 30), Youth Guidance Project of Basic Research Plan of Guizhou Province (Guizhou Basic Research Program-

[2024] Youth 168), and Science and Technology Support Program of Guizhou Province (Guizhou Science and Technology Support Program

[2023] General 338).

[0007] The technical solution of the present invention is as follows:

[0008] An adjustable nonlinear energy well adjustment method, the adjustable nonlinear energy well comprising two end magnets arranged at two ends of the same axis, the two end magnets having different magnetic poles arranged opposite to each other; a sliding magnet is arranged between the two end magnets; the sliding magnet and the end magnets are arranged on the same axis, the sliding magnet and the end magnets having the same magnetic poles arranged opposite to each other; the nonlinear stiffness of the adjustable nonlinear energy well is adjusted by adjusting the distance between the end magnets;

[0009] The adjustable nonlinear energy well adjustment method comprises the following steps:

[0010] A. setting a plurality of adjustable nonlinear energy well groups, wherein the nonlinear stiffness adjustment ranges of the adjustable nonlinear energy wells in any of the adjustable nonlinear energy well groups are the same; the nonlinear stiffness adjustment ranges of the adjustable nonlinear energy well groups are gradient connected; if two groups of the adjustable nonlinear energy wells are compared, the nonlinear stiffness adjustment range of the higher gradient adjustable nonlinear energy well group is greater than the nonlinear stiffness adjustment range of the lower gradient adjustable nonlinear energy well group;

[0011] B. collecting the amplitude-frequency response curve of the controlled object to obtain the peak values ​​of each order response curve within the target frequency range of the controlled object;

[0012] C. introducing an adjustable nonlinear energy well group into the controlled object, and adjusting the nonlinear stiffness of the adjustable nonlinear energy well group to the lower limit of the nonlinear stiffness adjustment range;

[0013] D. After executing step C, collecting the amplitude-frequency response curve of the controlled object to obtain the peak values ​​of each order response curve within the target frequency range of the controlled object;

[0014] E. Determining whether the controlled object has a complex vibration response;

[0015] F. If the complex vibration response occurs, introduce the adjustable nonlinear energy well group with a lower gradient to replace the current adjustable nonlinear energy well group, and execute step C;

[0016] G. If the complex vibration response does not occur, calculate the broadband control evaluation value F A :

[0017]

[0018] Among them, f1,…,f n ,…,f N is the peak value of each order response curve within the target frequency range of the controlled object obtained in step B, C1,…,C n ,…,C NThe peak values ​​of each order response curve within the target frequency range of the controlled object obtained in step D;

[0019] H. Determine whether the broadband control evaluation value obtained in step G reaches a predetermined value;

[0020] I. If the broadband control evaluation value is less than the predetermined value, determining whether the upper limit of the nonlinear stiffness adjustment range of the current adjustable nonlinear energy well group is reached;

[0021] J. If it is determined that the upper limit of the nonlinear stiffness adjustment range of the current adjustable nonlinear energy well group is not reached, the nonlinear stiffness of the adjustable nonlinear energy well group is increased, and step D is executed;

[0022] K. If it is determined that the upper limit of the nonlinear stiffness adjustment range of the current adjustable nonlinear energy well group is reached, a higher gradient adjustable nonlinear energy well group is introduced to replace the current adjustable nonlinear energy well group, and step C is executed;

[0023] L. If the broadband control evaluation value obtained in step G is greater than or equal to the predetermined value, maintain the current state.

[0024] Optionally, the nonlinear stiffness adjustment range gradient connection in step A includes a lower limit of the nonlinear stiffness adjustment range of one group of the adjustable nonlinear energy well groups being equal to an upper limit of the nonlinear stiffness adjustment range of another group of the adjustable nonlinear energy well groups.

[0025] Optionally, the method for determining whether a complex rotation response occurs in step E includes: obtaining steady-state vibration response data of the controlled object, and obtaining the Poincare point of the vibration state of the controlled object based on the steady-state vibration response data of the controlled object; when the Poincare point is greater than 1, the complex vibration response occurs in the controlled object.

[0026] An adjustable nonlinear energy well adjustment device for performing the adjustable nonlinear energy well adjustment method as described above comprises the adjustable nonlinear energy well group as described above; and also comprises a collection module and a processing module connected to the collection module;

[0027] The steps performed by the acquisition module include: acquiring the amplitude-frequency response curve of the controlled object to obtain the peak values ​​of each order response curve within the target frequency range of the controlled object;

[0028] The steps performed by the processing module include:

[0029] E. Determining whether the controlled object has a complex vibration response;

[0030] G. If the complex vibration response does not occur, calculate the broadband control evaluation value FA :

[0031]

[0032] Among them, f1,…,f n ,…,f N is the peak value of each order response curve within the target frequency range of the controlled object obtained in step B, C1,…,C n ,…,C N It is the peak value of each order response curve within the target frequency range of the controlled object obtained in step D.

[0033] Optionally, the method for determining whether a complex rotation response occurs includes: obtaining steady-state vibration response data of the controlled object, and obtaining the Poincare point of the vibration state of the controlled object based on the steady-state vibration response data of the controlled object; when the Poincare point is greater than 1, the complex vibration response occurs in the controlled object.

[0034] Optionally, the adjustable nonlinear energy well adjustment device comprises a drive motor; the end magnet of the adjustable nonlinear energy well is arranged on a transmission mechanism; and the transmission mechanism is connected to the drive motor.

[0035] The technical effects of the present invention are as follows:

[0036] The adjustable nonlinear energy well adjustment method and device of the present invention can adjust the adjustable nonlinear energy well group according to whether the controlled object has a complex vibration response, so as to eliminate the complex vibration response phenomenon. At the same time, the adjustable nonlinear energy well group can also be adjusted at any time according to the pre-set control requirements. The above-mentioned operation of timely adjustment according to the vibration state of the controlled object enables the technical solution of the present invention to keep the nonlinear energy well in the optimal vibration reduction state at all times, thereby achieving the purpose of the present invention.

[0037] The further effects of the above optional manner will be described below in conjunction with the specific implementation manner. BRIEF DESCRIPTION OF THE DRAWINGS

[0038] Figure 1 It is a top view of an embodiment of the adjustable nonlinear energy well of the present invention.

[0039] Figure 2 for Figure 1 A perspective view of an embodiment of an adjustable nonlinear energy sink is shown.

[0040] Figure 3 The figure is a flow chart of an embodiment of the adjustable nonlinear energy well adjustment method of the present invention.

[0041] Figure 4The figure is a structural principle diagram of an embodiment of an adjustable nonlinear energy well adjustment device of the present invention.

[0042] Figure 5 Model schematic diagram for effect verification simulation experiment.

[0043] Figure 6 This is the phase diagram of the observation points of the controlled object when it is adjusted to state 6.

[0044] Figure 7 This is the time domain diagram of the controlled object when it is adjusted to state 6.

[0045] Figure 8 This is the phase diagram of the observation points of the controlled object when it is adjusted to state 7.

[0046] Fig. 9 This is the time domain diagram of the controlled object when it is adjusted to state 7.

[0047] Fig.10 This is the phase diagram of the observation points of the controlled object when it is adjusted to state 8.

[0048] Fig.11 This is the time domain diagram of the controlled object when it is adjusted to state 8.

[0049] Fig.12 This is the result diagram of the simulation experiment.

[0050] The symbols in the figure are explained as follows:

[0051] 101, driving motor; 102, lead screw; 103, end magnet; 104, sliding magnet; 105, end magnet;

[0052] 501. Adjustable nonlinear energy sink. DETAILED DESCRIPTION

[0053] The technical solution of the present invention is described in detail below in conjunction with the accompanying drawings.

[0054] The adjustable nonlinear energy sink of the present invention adopts a magnetic nonlinear energy sink. A magnetic nonlinear energy sink (MNES) is a device for vibration control and energy absorption. A magnetic nonlinear energy sink is usually composed of one or more groups of magnets, and uses the nonlinear magnetic interaction between the magnets to capture and dissipate vibration energy. Figure 1 and Figure 2 An example of an adjustable nonlinear energy sink of the present invention is shown. Figure 1 and Figure 2As shown, the adjustable nonlinear energy well includes two end magnets (end magnet 103 and end magnet 105) arranged at both ends of the same axis. A sliding magnet 104 is coaxially arranged between the end magnet 103 and the end magnet 105. The sliding magnet 104 is an annular magnet, which is sleeved on the shaft between the end magnet 103 and the end magnet 105 and can slide back and forth along the axis direction of the shaft. The sliding magnet 104 is respectively arranged opposite to the same magnetic poles as the end magnet 103 and the end magnet 105, so that Figure 1 The embodiment can utilize the nonlinear magnetic interaction between the sliding magnet 104 and the end magnets 103 and 105 to capture and dissipate vibration energy.

[0055] like Figure 1 and Figure 2 As shown, the end magnet 103 is a ring-shaped magnet, which is arranged on the lead screw 102. The inner surface of the inner ring of the end magnet 103 is provided with a thread, and the thread matches the thread on the outer surface of the lead screw 102, so that the end magnet 103 can reciprocate along the axis of the lead screw 102 as the lead screw 102 rotates. The lead screw 102 is connected to the output end of the drive motor 101, and the power output by the drive motor 101 can drive the lead screw 102 to rotate. As the lead screw 102 rotates, the distance between the end magnet 103 and the end magnet 105 can change, and then the nonlinear stiffness of the nonlinear energy well formed by the end magnet 103, the end magnet 105 and the sliding magnet 104 changes accordingly. The relationship between the change in nonlinear stiffness and the distance between the end magnet 103 and the end magnet 105 belongs to the prior art and will not be repeated. In summary, Figure 1 The nonlinear stiffness of the adjustable nonlinear energy sink can be adjusted within a certain range.

[0056] Figure 3 The main process of an embodiment of the adjustable nonlinear energy well adjustment method of the present invention is shown. Figure 3 Provide detailed explanation.

[0057] A. Setting up several adjustable nonlinear energy well groups

[0058] In this step, multiple groups of adjustable nonlinear energy well groups need to be set up for subsequent steps. Each adjustable nonlinear energy well group consists of one or more adjustable nonlinear energy well groups with the same structural parameters, such as Figure 1The adjustable nonlinear energy wells shown are composed. The number of adjustable nonlinear energy wells in each adjustable nonlinear energy well group is adjusted according to actual needs. When the number of adjustable nonlinear energy wells in the adjustable nonlinear energy well group is greater than 1, the structural parameters of each adjustable nonlinear energy well are the same, that is, the nonlinear stiffness adjustment range of each adjustable nonlinear energy well is the same. The nonlinear stiffness adjustment range of each adjustable nonlinear energy well group is equal to the nonlinear stiffness adjustment range of a single adjustable nonlinear energy well in the adjustable nonlinear energy well group.

[0059] The nonlinear stiffness adjustment ranges of the multiple groups of adjustable nonlinear energy well groups are set to be gradient connected. That is, the lower limit of the nonlinear stiffness adjustment range of one group of adjustable nonlinear energy well groups is equal to the upper limit of the nonlinear stiffness adjustment range of another group of adjustable nonlinear energy well groups. This setting allows the multiple groups of adjustable nonlinear energy well groups to form a larger and continuous nonlinear stiffness adjustment range. If two groups of adjustable nonlinear energy wells are compared, the lower limit of the nonlinear stiffness adjustment range of the higher gradient adjustable nonlinear energy well group is greater than or equal to the upper limit of the nonlinear stiffness adjustment range of the lower gradient adjustable nonlinear energy well group.

[0060] B. Obtain the peak value of each order response curve within the target frequency range of the controlled object

[0061] In this step, before the adjustable nonlinear energy sink acts on the controlled object (i.e., the object to be damped by the adjustable nonlinear energy sink), the amplitude-frequency response curve of the controlled object is collected, and the peak values ​​of each order response curve within the target frequency range of the controlled object are extracted.

[0062] The above-mentioned steps A and B belong to the preparatory stage of the method of the present invention and can be performed simultaneously.

[0063] C. Introducing the adjustable nonlinear energy well group into the controlled object

[0064] In this step, an adjustable nonlinear energy well group is introduced into the controlled object, and the nonlinear stiffness of the adjustable nonlinear energy well group is adjusted to the lower limit of the nonlinear stiffness adjustment range. Introducing the adjustable nonlinear energy well group into the controlled object means adjusting the adjustable nonlinear energy well group to a working position where it can act on the controlled object, so that it can reduce vibration of the controlled object. As mentioned above, the adjustable nonlinear energy well group has a nonlinear stiffness adjustment range. In this step, the nonlinear stiffness of the adjustable nonlinear energy well group needs to be adjusted to the lower limit of the adjustment range, that is, the distance between the end magnet 103 and the end magnet 105 is driven to a maximum value by the drive motor 101.

[0065] D. Obtain the peak value of each order response curve within the target frequency range of the controlled object

[0066] After executing step C, the amplitude-frequency response curve of the controlled object is collected again to obtain the peak values ​​of each order response curve within the target frequency range of the controlled object.

[0067] E. Determine whether the controlled object has complex vibration response

[0068] In this step, the Poincare points of the controlled object are obtained, and when the number of the Poincare points is greater than 1, it is determined that a complex vibration response occurs in the controlled object.

[0069] The existing method for obtaining the Poincare point is briefly described as follows: the steady-state vibration response data of the controlled object is collected through data acquisition software, and then the steady-state phase trajectory diagram of the controlled object is drawn, and the phase trajectory is intercepted at the time section t=t0 to draw the Poincare section of the controlled object. The point where the phase trajectory of the steady-state response of the controlled object passes through the time section t=t0 is the Poincare point.

[0070] F. Introducing a lower gradient adjustable nonlinear energy well group

[0071] In step E, if it is determined that the controlled object has a complex vibration response, a lower gradient adjustable nonlinear energy well group is introduced to replace the current adjustable nonlinear energy well group, and then step C is performed, that is, the lower gradient adjustable nonlinear energy well group is introduced into the controlled object.

[0072] G. Calculate broadband control evaluation

[0073] In step E, if it is determined that the controlled object does not have a complex vibration response, the broadband control evaluation value F is calculated. A :

[0074]

[0075] Among them, f1,…,f n ,…,f N is the peak value of each order response curve within the target frequency range of the controlled object obtained in step B, C1,…,C n ,…,C N It is the peak value of each order response curve within the target frequency range of the controlled object obtained in step D.

[0076] H. Determine whether the broadband control evaluation value reaches the preset value

[0077] In this step, the broadband control evaluation value obtained in step G is compared with a preset value, that is, it is determined whether the broadband control evaluation value obtained in step G meets the preset requirement.

[0078] I. Determine whether the upper limit of the current nonlinear stiffness adjustment range has been reached

[0079] If step H determines that the broadband control evaluation value obtained in step G is less than the predetermined value, that is, it is determined that the broadband control evaluation value obtained in step G does not meet the predetermined requirement, then it is further determined whether the nonlinear stiffness of the current adjustable nonlinear energy well group reaches the upper limit of the nonlinear stiffness adjustment range of the adjustable nonlinear energy well group.

[0080] J. Increasing the nonlinear stiffness of the adjustable nonlinear energy well group

[0081] If it is determined in step I that the upper limit of the nonlinear stiffness adjustment range of the current adjustable nonlinear energy well group has not been reached, the driving motor 101 is controlled to adjust the distance between the end magnet 103 and the end magnet 105 to increase the nonlinear stiffness of the nonlinear energy well. Then, the process goes to step D to continue.

[0082] K. Introducing a higher gradient adjustable nonlinear energy well group

[0083] If step I determines that the upper limit of the nonlinear stiffness adjustment range of the current adjustable nonlinear energy well group is reached, a higher gradient adjustable nonlinear energy well group is introduced to replace the current adjustable nonlinear energy well group, and then step C is executed, that is, the higher gradient adjustable nonlinear energy well group is introduced into the controlled object.

[0084] L. End

[0085] If the broadband control evaluation value obtained in step G is greater than or equal to the predetermined value, the current state is maintained, and the adjustment of this cycle is ended. The next cycle starts from step D.

[0086] Figure 4 The schematic diagram of the adjustable nonlinear energy well adjustment device of the present invention is shown. The adjustable nonlinear energy well adjustment device includes: Figure 3 The adjustable nonlinear energy well group described in step A of the embodiment shown in the figure further includes a collection module and a processing module connected to the collection module. The processing module is connected to the adjustable nonlinear energy well group. The processing module can communicate data with the adjustable nonlinear energy well group and the collection module respectively. The collection module is used to execute Figure 3 Step B and step D in the embodiment shown. The processing module is used to perform Figure 3 Step E and Step G in the illustrated embodiment.

[0087] The following simulation experiments are conducted to verify the technical effect of the technical solution of the present invention.

[0088] Figure 5 The model used in the simulation experiment is shown. The controlled object in this model adopts a beam structure, and the adjustable nonlinear energy well 501 is set in the middle of the beam. The end of the beam structure acts on a simple harmonic external excitation. Figure 5The model shown can obtain the vibration response curve of the adjustable nonlinear energy well 501 under different nonlinear stiffnesses through the Galerkin method.

[0089] This simulation experiment simplifies the nonlinear stiffness setting method of the adjustable nonlinear energy well group. The following 8 states are set for the nonlinear stiffness of the adjustable nonlinear energy well group:

[0090] State 1: Nonlinear stiffness 10 8 N / m 3 ,

[0091] State 2: Nonlinear stiffness 5×10 8 N / m 3 ,

[0092] State 3: Nonlinear stiffness 10 9 N / m 3 ,

[0093] State 4: Nonlinear stiffness 2×10 9 N / m 3 ,

[0094] State 5: Nonlinear stiffness 3×10 9 N / m 3 ,

[0095] State 6: Nonlinear stiffness 4×10 9 N / m 3 ,

[0096] State 7: Nonlinear stiffness 5×10 9 N / m 3 ,

[0097] State 8: Nonlinear stiffness 6×10 9 N / m 3 .

[0098] That is, in this simulation experiment, when adjusting the nonlinear stiffness of the adjustable nonlinear energy well 501, the nonlinear stiffness corresponding to one of the above 8 states is directly selected, and the nonlinear stiffness corresponding to the above 8 states is no longer executed. Figure 3 Step F, Step I, Step J, Step K. This setting is only to simplify the experiment, not to deny Figure 3 The practical significance of the above steps.

[0099] The following is the simulation experiment process.

[0100] (i) The nonlinear stiffness adjustment range of the adjustable nonlinear energy well 501 in the simulation model is set to state 1 to state 5, and a classification discussion is conducted according to the vibration control effect setting value (i.e., the predetermined value of the broadband control evaluation amount).

[0101] (1) The control effect setting value is 30%

[0102] S1. Before introducing the adjustable nonlinear energy sink 501, the peak values ​​of each order response curve within the target frequency range of the controlled object are extracted. The first order peak value is 0.001401090m, and the second order peak value is 0.00228515m.

[0103] S2, adjusting the nonlinear stiffness of the adjustable nonlinear energy sink 501 to be in state 1, and introducing the adjustable nonlinear energy sink 501 into the controlled object;

[0104] S3. After completing step S2, collect the amplitude-frequency response curve of the controlled object and extract the peak values ​​of each order response curve within the target frequency range. The first order peak value is 0.00103616m, and the second order peak value is 0.00130717m.

[0105] S4, judging whether the amplitude-frequency response curve of the controlled object has a complex vibration response, judging by detecting the phase diagram and time domain diagram of the observation point, and no complex vibration response occurs in state 1;

[0106] S5. Calculate the current broadband control evaluation value, which is 34%, meeting the set requirement;

[0107] S6. Maintain the current working state of the adjustable nonlinear energy well 501, and end.

[0108] (2) The control effect setting value is 40%

[0109] S1. Before introducing the adjustable nonlinear energy sink 501, the peak values ​​of each order response curve within the target frequency range of the controlled object are extracted. The first order peak value is 0.001401090m, and the second order peak value is 0.00228515m.

[0110] S2, adjusting the nonlinear stiffness of the adjustable nonlinear energy sink 501 to be in state 1, and introducing the adjustable nonlinear energy sink 501 into the controlled object;

[0111] S3. After completing step S2, collect the amplitude-frequency response curve of the controlled object and extract the peak values ​​of each order response curve within the target frequency range. The first order peak value is 0.00103616m, and the second order peak value is 0.00130717m.

[0112] S4, judging whether the amplitude-frequency response curve of the controlled object has a complex vibration response, judging by detecting the phase diagram and time domain diagram of the amplitude observation point, and no complex vibration response occurs in state 1;

[0113] S5. Calculate the current broadband control evaluation value, which is 34%, which does not meet the set requirements;

[0114] S6, adjusting the nonlinear stiffness of the adjustable nonlinear energy well 501 in an increasing direction to state 2;

[0115] S7, collect the amplitude-frequency response curve of the controlled object and extract the peak values ​​of each order response curve within the target frequency range, the first order peak value is 0.0010146m, and the second order peak value is 0.0012771m;

[0116] S8, judging whether the amplitude-frequency response curve of the controlled object has a complex vibration response, judging by detecting the phase diagram and time domain diagram of the amplitude observation point, and no complex vibration response occurs in state 2;

[0117] S9, calculating the current broadband control evaluation value, which is 36%, not meeting the set requirements;

[0118] S10, adjusting the nonlinear stiffness of the adjustable nonlinear energy well 501 in an increasing direction to state 3;

[0119] S11, collect the amplitude-frequency response curve of the controlled object and extract the peak values ​​of each order response curve within the target frequency range, the first order peak value is 0.000968914m, and the second order peak value is 0.00121095m;

[0120] S12, judging whether a complex vibration response occurs in the amplitude-frequency response curve of the controlled object, by detecting the phase diagram and time domain diagram of the amplitude observation point, and judging that no complex vibration response occurs in state 3;

[0121] S13, calculating the current broadband control evaluation value, which is 39%, not meeting the set requirement;

[0122] S14, adjusting the nonlinear stiffness of the adjustable nonlinear energy well 501 in an increasing direction to state 4;

[0123] S15, collecting the amplitude-frequency response curve of the controlled object and extracting the peak values ​​of each order response curve within the target frequency range, the first order peak value is 0.000891497m, and the second order peak value is 0.00111844m;

[0124] S16, judging whether a complex vibration response occurs in the amplitude-frequency response curve of the controlled object, by detecting the phase diagram and time domain diagram of the amplitude observation point, and judging that no complex vibration response occurs in state 4;

[0125] S17, calculating the current broadband control evaluation value, which is 44%, meeting the set requirement;

[0126] S18, maintaining the current working state of the adjustable nonlinear energy well 501, and ending.

[0127] (3) The control effect setting value is 50%

[0128] After the experiment (2) with the control effect set value of 40% is completed, the following steps are carried out after step S16:

[0129] S'17, adjusting the nonlinear stiffness of the adjustable nonlinear energy well 501 in the increasing direction to state 5;

[0130] S'18, collect the amplitude-frequency response curve of the controlled object and extract the peak values ​​of each order response curve within the target frequency range. The first order peak value is 0.000775876m, and the second order peak value is 0.00102674m;

[0131] S'19, determine whether the amplitude-frequency response curve of the controlled object has a complex vibration response, and make a judgment by detecting the phase diagram and time domain diagram of the observation point. No complex vibration response occurs in state 5;

[0132] S'20, calculate the current broadband control evaluation value, which is 50%, meeting the set requirements;

[0133] S'21, maintaining the current working state of the adjustable nonlinear energy sink 501, and ending.

[0134] (ii) The nonlinear stiffness adjustment range of the adjustable nonlinear energy well 501 in the simulation model is set to state 6 to state 8, and the control effect setting value is 50%.

[0135] S1. Before introducing the adjustable nonlinear energy sink 501, the peak values ​​of each order response curve within the target frequency range of the controlled object are extracted. The first order peak value is 0.001401090m, and the second order peak value is 0.00228515m.

[0136] S2, adjusting the nonlinear stiffness of the adjustable nonlinear energy sink 501 to be in state 6, and introducing the adjustable nonlinear energy sink 501 into the controlled object;

[0137] S3. After completing step S2, collect the amplitude-frequency response curve of the controlled object and extract the peak values ​​of each order response curve within the target frequency range. The first order peak value is 0.000749904m, and the second order peak value is 0.000938058m.

[0138] S4. Determine whether a complex vibration response occurs in the amplitude-frequency response curve of the controlled object. The determination is made by detecting the phase diagram and the time domain diagram of the observation point. A complex vibration response occurs in state 6.

[0139] After S4 determines that a complex vibration response occurs in state 6, the current adjustable nonlinear energy well 501 should be replaced with an adjustable nonlinear energy well with lower nonlinear stiffness, and then the experimental steps in part (I) are performed again.

[0140] Figure 6 and Figure 7 The phase diagram and time domain diagram of the observation points of the controlled object when executing part (ii) of the steps in state 6 are respectively shown. Figure 8 and Fig. 9 The phase diagram and time domain diagram of the observation point of the controlled object when executing part (ii) of the steps in state 7 are shown respectively. Fig.10 and Fig.11 The phase diagram and time domain diagram of the observation point of the controlled object when executing part (ii) of the steps in state 8 are shown respectively.

[0141] Fig.12 The simulation results of the amplitude-frequency response of the adjustable nonlinear energy well in each state in this simulation experiment are shown. It can be seen from the figure that although the amplitude of the controlled object is reduced to a greater extent when the adjustable nonlinear energy well is in state 6 to state 8, the system has a complex vibration response at this time, which is not an optional vibration reduction solution. State 5 can most effectively reduce the vibration level of the controlled object without a complex vibration response, and is a better vibration reduction solution. The above simulation experiment shows that there is an optimal vibration control state for the adjustable nonlinear energy well, that is, when it is in this state, the adjustable nonlinear energy well can effectively reduce its vibration amplitude without causing a complex vibration response of the controlled object. Fig.12 The simulation experiment shown proves the existence of the optimal vibration control state of the adjustable nonlinear energy sink, and the existence of the optimal vibration control state is the regulation basis of the present invention.

[0142] It is worth noting that the above description is only a preferred embodiment of the present invention, and does not limit the scope of patent protection of the present invention. The present invention can also be replaced by equivalent technologies. Therefore, any equivalent changes made by using the description and illustrations of the present invention, or directly or indirectly applied to other related technical fields, are included in the scope of the present invention.

Claims

1. An adjustable nonlinear energy well adjustment method, characterized in that: The adjustable nonlinear energy well comprises two end magnets arranged at two ends of the same axis, and the different magnetic poles of the two end magnets are arranged opposite to each other; a sliding magnet is arranged between the two end magnets; the sliding magnet and the end magnets are arranged on the same axis, and the same magnetic poles of the sliding magnet and the end magnets are arranged opposite to each other; the nonlinear stiffness of the adjustable nonlinear energy well is adjusted by adjusting the distance between the end magnets; The adjustable nonlinear energy well adjustment method comprises the following steps: A. setting a plurality of adjustable nonlinear energy well groups, wherein the nonlinear stiffness adjustment range of the adjustable nonlinear energy wells in any of the adjustable nonlinear energy well groups is the same; The nonlinear stiffness adjustment range of the adjustable nonlinear energy well group is gradiently connected; If the two groups of adjustable nonlinear energy wells are compared, the nonlinear stiffness adjustment range of the higher gradient adjustable nonlinear energy well group is greater than the nonlinear stiffness adjustment range of the lower gradient adjustable nonlinear energy well group; B. collecting the amplitude-frequency response curve of the controlled object to obtain the peak values ​​of each order response curve within the target frequency range of the controlled object; C. introducing an adjustable nonlinear energy well group into the controlled object, and adjusting the nonlinear stiffness of the adjustable nonlinear energy well group to the lower limit of the nonlinear stiffness adjustment range; D. After executing step C, collecting the amplitude-frequency response curve of the controlled object to obtain the peak values ​​of each order response curve within the target frequency range of the controlled object; E. Determining whether the controlled object has a complex vibration response; F. If the complex vibration response occurs, introduce the adjustable nonlinear energy well group with a lower gradient to replace the current adjustable nonlinear energy well group, and execute step C; G. If the complex vibration response does not occur, calculate the broadband control evaluation value F A : Among them, f1,…,f n ,…,f N is the peak value of each order response curve within the target frequency range of the controlled object obtained in step B, C1,…,C n ,…,C N The peak values ​​of each order response curve within the target frequency range of the controlled object obtained in step D; H. Determine whether the broadband control evaluation value obtained in step G reaches a predetermined value; I. If the broadband control evaluation value is less than the predetermined value, determining whether the upper limit of the nonlinear stiffness adjustment range of the current adjustable nonlinear energy well group is reached; J. If it is determined that the upper limit of the nonlinear stiffness adjustment range of the current adjustable nonlinear energy well group is not reached, the nonlinear stiffness of the adjustable nonlinear energy well group is increased, and step D is executed; K. If it is determined that the upper limit of the nonlinear stiffness adjustment range of the current adjustable nonlinear energy well group is reached, a higher gradient adjustable nonlinear energy well group is introduced to replace the current adjustable nonlinear energy well group, and step C is executed; L. If the broadband control evaluation value obtained in step G is greater than or equal to the predetermined value, maintain the current state.

2. The adjustable nonlinear energy well adjustment method according to claim 1, characterized in that: The nonlinear stiffness adjustment range gradient connection in step A includes that the lower limit of the nonlinear stiffness adjustment range of one group of the adjustable nonlinear energy well groups is equal to the upper limit of the nonlinear stiffness adjustment range of another group of the adjustable nonlinear energy well groups.

3. The adjustable nonlinear energy well adjustment method according to claim 1, characterized in that: The method for determining whether a complex rotation response occurs in step E includes: obtaining steady-state vibration response data of the controlled object, and obtaining the Poincare point of the vibration state of the controlled object based on the steady-state vibration response data of the controlled object; when the Poincare point is greater than 1, the complex vibration response occurs in the controlled object.

4. An adjustable nonlinear energy well adjustment device for executing the method of claim 1, characterized in that: It comprises the adjustable nonlinear energy well group as claimed in claim 1; it also comprises a collection module and a processing module connected to the collection module; The steps performed by the acquisition module include: acquiring the amplitude-frequency response curve of the controlled object to obtain the peak values ​​of each order response curve within the target frequency range of the controlled object; The steps performed by the processing module include: E. Determining whether the controlled object has a complex vibration response; G. If the complex vibration response does not occur, calculate the broadband control evaluation value F A : Among them, f1,…,f n ,…,f N is the peak value of each order response curve within the target frequency range of the controlled object obtained in step B, C1,…,C n ,…,C N The peak values ​​of each order response curve within the target frequency range of the controlled object obtained in step D.

5. The adjustable nonlinear energy well adjustment device according to claim 4, characterized in that: The method for determining whether a complex rotation response occurs includes: obtaining steady-state vibration response data of the controlled object, and obtaining the Poincare point of the vibration state of the controlled object based on the steady-state vibration response data of the controlled object; when the Poincare point is greater than 1, the complex vibration response occurs in the controlled object.

6. The adjustable nonlinear energy well adjustment device according to claim 4, characterized in that: It comprises a driving motor; the end magnet of the adjustable nonlinear energy well is arranged on a transmission mechanism; and the transmission mechanism is connected to the driving motor.

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