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A Natural Frequency and Mode Shape Allocation Method Based on Mixed Addition of Mass and Stiffness

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: 2022-04-29
HUBEI UNIV OF TECH
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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

Method used

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  • A Natural Frequency and Mode Shape Allocation Method Based on Mixed Addition of Mass and Stiffness
  • A Natural Frequency and Mode Shape Allocation Method Based on Mixed Addition of Mass and Stiffness
  • A Natural Frequency and Mode Shape Allocation Method Based on Mixed Addition of Mass and Stiffness

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Embodiment Construction

[0043] 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.

[0044] 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:

[0045]

[0046] 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;

[0047] Le...

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Abstract

The invention discloses a natural frequency and mode shape configuration method based on the mixed addition of mass and stiffness. First, the position of the mixed addition of structural mass-stiffness is determined according to actual engineering (herein, the mixed addition of structural mass-stiffness refers to adding on the degree of freedom. Mass block and support stiffness or connection stiffness between two degrees of freedom), and then the matrix increment of the added structure (matrix increment refers to the matrix increment after mass-stiffness mixed addition) is expressed in the form of a vector, and finally Transform the problem of changing the structure required to obtain the ideal natural frequency and mode shape into a numerical optimization problem including the ideal natural frequency, mode shape and stiffness addition, and solve the required added mass-stiffness by genetic algorithm. This method improves the design efficiency, avoids the blindness of the design, and reduces the design cost, which has 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 Patents(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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