Inherent frequency and vibration mode configuration method based on mass and rigidity mixed addition

A technology of natural frequency and configuration method, applied to one-order or multi-order natural frequency and mode shape, based on the frequency response function model of the original structure to add mass and stiffness configuration to the original structure, which can solve the problems of difficult configuration effects and achieve The effect of avoiding blindness, reducing design cost and improving design efficiency

Active Publication Date: 2021-02-05
HUBEI UNIV OF TECH
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  • Application Information

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Problems solved by technology

In some cases, limited by the dynamic characteristics of the structure itself and the special requirements of the natural frequency and mode shape configuration, it is difficult to obtain a better configuration effect by simply relying on the structural modification method of adding mass or stiffness

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  • Inherent frequency and vibration mode configuration method based on mass and rigidity mixed addition
  • Inherent frequency and vibration mode configuration method based on mass and rigidity mixed addition
  • Inherent frequency and vibration mode configuration method based on mass and rigidity mixed addition

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Embodiment Construction

[0041] In order to facilitate those of ordinary skill in the art to understand and implement the present invention, the present invention will be described in further detail below in conjunction with the accompanying drawings and embodiments. It should be understood that the implementation examples described here are only used to illustrate and explain the present invention, and are not intended to limit this invention.

[0042] The present invention provides a method based on the mass and stiffness of the original structure frequency response function model to add and configure the natural frequency and mode shape. It is assumed that the vibration differential equation of the general linear n-degree-of-freedom undamped vibration vibration system is expressed as:

[0043]

[0044] In the formula, K and M are the stiffness matrix and mass matrix of the original structure, respectively, and x represents the displacement vector; Indicates the acceleration vector;

[0045] Le...

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Abstract

The invention discloses an inherent frequency and vibration mode configuration method based on mass and rigidity mixed addition, which comprises the following steps of: firstly, determining the position of structural mass-rigidity mixed addition according to actual engineering (the structural mass-rigidity mixed addition refers to adding a mass block and supporting rigidity or connecting rigiditybetween two degrees of freedom); then, expressing the matrix increment (the matrix increment refers to the matrix increment after mass-rigidity mixed addition) of the added structure in a vector form,and finally, converting the problem that the structure quantity needs to be changed for solving to obtain the ideal inherent frequency and vibration mode into the numerical optimization problem containing the ideal inherent frequency, vibration mode and rigidity addition amount; and solving the size of the mass-rigidity required to be added through a genetic algorithm. The method improves the design efficiency, avoids the blindness of design, reduces the design cost, and has a practical engineering application value.

Description

technical field [0001] The invention belongs to the technical field of structural dynamics, and relates to a natural frequency and mode shape configuration method based on the mixed addition of mass and stiffness, in particular to a configuration method for adding mass and stiffness to the original structure based on the frequency response function model of the original structure. Methods for one or more natural frequencies and mode shapes. Here, the method of adding mass and stiffness to the original structure refers to adding the mass block and support stiffness or the connection stiffness between each degree of freedom on each degree of freedom of the original structure. Background technique [0002] In engineering, in order to make the structure meet some specific dynamic characteristic requirements, it is necessary to modify the designed structure to configure certain natural frequencies and mode shapes. Structural modification usually includes local mass modification ...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/27
CPCG06F30/27
Inventor 任军张强豪吴瀚海李其良曹秋玉何文浩
Owner HUBEI UNIV OF TECH
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