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Method for unified design of TMDI and TMD based on Kramers-Kronig relation

A relationship and equation of motion technology, applied in geometric CAD, CAD numerical modeling, special data processing applications, etc., can solve problems such as lack of theoretical research

Pending Publication Date: 2022-06-24
HARBIN INST OF TECH
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Problems solved by technology

[0004] Although there are many parameter optimization methods about TMDI, so far, the research on TMDI is still at the level of numerical simulation, lack of in-depth theoretical research, and the related research is independent of the traditional TMD

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  • Method for unified design of TMDI and TMD based on Kramers-Kronig relation
  • Method for unified design of TMDI and TMD based on Kramers-Kronig relation
  • Method for unified design of TMDI and TMD based on Kramers-Kronig relation

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Embodiment 1

[0069] Embodiment 1, refer to Figure 1-5 Illustrate this embodiment, a method for the unified design of TMDI and TMD based on the Kramers-Kronig relationship, comprising the following steps:

[0070] S1. Establish the motion equation of the controlled structure-TMDI, obtain the transfer function of the system, and extract the complex effective mass of the dynamic effect of TMDI on the structure;

[0071] Controlled structures - TMDI systems such as figure 2 shown, the mass, stiffness, damping and inertial mass of TMDI are m respectively 1 ,k 1 ,c 1 and b 1 ; the force of the inertial container is proportional to the relative acceleration at both ends, namely x 1 and x 2 are the connection positions of the traditional TMD and the inertial container, respectively. figure 2 It can represent many types of TMDI in the current study. Then the equation of motion of the system can be written in the form of equations (1) and (2);

[0072]

[0073]

[0074] Among the...

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Abstract

The invention relates to a TMDI and TMD unified design method based on a Kramers-Kronig relation, and belongs to the technical field of structural vibration control. The complex effective mass obtaining step is used for extracting the complex effective mass of the TMDI on the structural dynamic effect; the complex effective mass real part and imaginary part mutual conversion obtaining step is used for obtaining a complex effective mass real part and imaginary part mutual conversion expression of the TMDI; the step of obtaining the mass, the frequency and the damping ratio of the equivalent TMD is used for obtaining the mass, the frequency and the damping ratio of the equivalent TMD; the equivalent main structure obtaining step is used for adding equivalent static mass into modal mass of a controlled structure to obtain an equivalent main structure; the step of obtaining the optimal parameters of the TMDI is used for obtaining the optimal parameters of the TMDI. The problems that the TMDI is independent of the traditional TMD and the TMDI and the TMD cannot be unified in the prior art are solved.

Description

technical field [0001] The present application relates to a method for unified design of TMDI and TMD, in particular to a method for unified design of TMDI and TMD based on the Kramers-Kronig relationship, and belongs to the technical field of structural vibration control. Background technique [0002] Under the action of external dynamic loads (such as earthquake loads, wind loads, vehicle loads, and crowd loads), engineering structures may produce unfavorable vibrations, which seriously affect the safety and performance of the structure. In order to reduce the dynamic response of the structure, it is often necessary to use an energy-consuming vibration damping device to control the vibration of the structure. Tuned mass damper (TMD) is composed of mass block, spring and damper. Due to its simple structure, outstanding control performance and relatively low cost, it is one of the main forms of energy-consuming vibration damping devices. In the past decades, scholars at hom...

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Application Information

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IPC IPC(8): G06F30/17G06F111/10
CPCG06F30/17G06F2111/10
Inventor 张连振彭思杰张宿峰刘立军张大光刘宇
Owner HARBIN INST OF TECH
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