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Nonlinear energy trap optimal rigidity solving method based on platform phenomenon

A nonlinear energy well and platform technology, applied in multi-objective optimization, design optimization/simulation, building components, etc., can solve problems such as limited efficiency of vibration reduction, achieve the effect of improving vibration reduction ability and satisfying robustness

Pending Publication Date: 2021-01-05
DALIAN UNIV OF TECH
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Problems solved by technology

Firstly, the effective operation of TMD depends on precise tuning, that is, to adjust the frequency of TMD to be equal to the first mode shape of the main structure; secondly, because the resonance between TMD and main structure will last for a period of time, the vibration energy will be in the The transmission between the TMD and the main structure, instead of one-way transmission, the TMD is completely consumed, so the efficiency of vibration reduction is limited

Method used

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  • Nonlinear energy trap optimal rigidity solving method based on platform phenomenon
  • Nonlinear energy trap optimal rigidity solving method based on platform phenomenon
  • Nonlinear energy trap optimal rigidity solving method based on platform phenomenon

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Embodiment approach 1

[0194] Embodiment 1: Taking the case where the excitation amplitude is f=0.5 as an example, take the optimal stiffness kn obtained from the above formula b Compared with the situation when other stiffness values ​​are taken, the effect of applying the above method to optimize the stiffness in the two-degree-of-freedom system connected to the NES is examined.

[0195] Take five nonlinear stiffness values ​​respectively: kn=11 , kn 1 b =6.16912 , kn=kn 2 =10.2650, kn=14,18>kn 2 Since there is no fixed amplitude when there is a strong modulation response, it is more appropriate to use the average energy as the test standard for the damping effect. The total transient energy of the system can be written in the form of (72):

[0196]

[0197]Change the tuning parameter σ, and check the average energy near the 1:1 internal resonance when each of the above stiffnesses is taken, the results are shown in Figure 20 and Figure 21 .

[0198] From Figure 20 It can be seen that ...

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Abstract

The invention discloses a nonlinear energy trap optimal rigidity solving method based on a platform phenomenon, belongs to the technical field of structure control. According to the method, with combination of the actual situation of civil engineering, on the premise of small initial conditions, multi-scale analysis is carried out on a two-degree-of-freedom system composed of a linear main structure and a cubic rigidity nonlinear energy trap, a "platform" phenomenon in a slow-varying equation is observed, so that an excitation amplitude interval in which the damper can generate effective target energy transfer under the condition that system parameters are fixed is obtained; an analytical solution of the optimal design rigidity of the nonlinear damper is derived through formulas of the upper limit and the lower limit of the interval, and through inspection of a numerical method, the design value has outstanding advantages in the aspects of the vibration reduction effect and robustness.The obtained optimized stiffness analytical solution gets rid of constraints on initial conditions, is applied to the design of nonlinear dampers, is simple in actual operation and good in optimization effect, and has great application value and development prospect.

Description

technical field [0001] The invention relates to the technical field of structure control, in particular to a method for solving the optimal stiffness of a nonlinear energy well based on a platform phenomenon. Background technique [0002] Due to the damage caused by natural disasters and various man-made damage to building structures, structural vibration control has become a research hotspot in recent years. Vibration control is mainly divided into active control, semi-active control and passive control. Mass tuned dampers (Tuned mass dampers, TMDs) are the most representative of passive control devices, but because TMDs are linear, they have certain limitations. Firstly, the effective operation of TMD depends on precise tuning, that is, to adjust the frequency of TMD to be equal to the first mode shape of the main structure; secondly, because the resonance between TMD and main structure will last for a period of time, the vibration energy will be in the The TMD is transmi...

Claims

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Application Information

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IPC IPC(8): G06F30/20E04B1/98E04H9/02G06F111/06
CPCG06F30/20E04H9/021G06F2111/06
Inventor 李芦钰张天娇
Owner DALIAN UNIV OF TECH
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