A displacement frequency response calculation method of series multi-degree-of-freedom system

A technology of displacement frequency and calculation method, applied in calculation, design optimization/simulation, special data processing application, etc., can solve problems such as reducing solution efficiency and consuming a lot of time

Active Publication Date: 2018-12-11
BEIJING INST OF ELECTRONICS SYST ENG
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  • Claims
  • Application Information

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Problems solved by technology

When the system degree of freedom changes frequently, or the system degree of freedom n is large, it will take a lot of time to establish and solve the equation and reduce the solution efficiency

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  • A displacement frequency response calculation method of series multi-degree-of-freedom system
  • A displacement frequency response calculation method of series multi-degree-of-freedom system
  • A displacement frequency response calculation method of series multi-degree-of-freedom system

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Embodiment Construction

[0036] In order to illustrate the present invention more clearly, the present invention will be further described below in conjunction with preferred embodiments and accompanying drawings. Those skilled in the art should understand that the content specifically described below is illustrative rather than restrictive, and should not limit the protection scope of the present invention.

[0037] In the prior art, when solving the frequency response of each mass point in a series multi-degree-of-freedom vibration system, it is necessary to establish n vibration differential equations and solve the n equations simultaneously to obtain the frequency response of each mass point. When the degree of freedom of the system changes frequently, the system vibration differential equation must be re-established every time it is solved; when the system degree of freedom n is large, it will take a lot of time to solve n vibration equations simultaneously. In order to solve the above problems, ...

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Abstract

The invention discloses a displacement frequency response calculation method of a series multi-degree-of-freedom system. The method includes: through modeling of a series multi-degree-of-freedom system, obtaining a series multi-degree-of-freedom system model; establishing a displacement transfer function model; establishing an apparent quality model; establishing an acceleration frequency responsemodel; establishing a displacement frequency response model and obtaining the displacement frequency response. Through apparent mass, the kinematic relationship between adjacent mass points in the system is established. On the premise of not establishing the whole system dynamics model, the displacement transfer function and acceleration transfer function between adjacent mass points are established from back to front and step by step, and the apparent mass of each mass point is obtained. The apparent mass of the first mass point is combined with the boundary condition to obtain the displacement frequency response and acceleration frequency response of the first mass point. The displacement frequency response and acceleration frequency response of all the mass points are obtained by the transfer function between the adjacent mass points.

Description

technical field [0001] The invention relates to the technical field of structural dynamics. More specifically, it relates to a method for calculating the displacement frequency response of a series multi-degree-of-freedom system. Background technique [0002] In structural dynamics problems, the vibration problems of complex multi-degree-of-freedom systems are often simplified as follows: figure 1 Shown in series with multiple degrees of freedom system, the system is excited by the force f(t) on the left. In order to obtain each mass point in the system (m 1 ,m 2 ,m 3 ,...,m n ) frequency response (displacement response or acceleration response) under force excitation, it is necessary to establish a vibration differential equation of the system, solve the vibration equation, and obtain the frequency response of each mass point. [0003] According to traditional thinking, for figure 1 In the n-degree-of-freedom system shown, it is necessary to establish n vibration dif...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20Y02T90/00
Inventor 高强曹伟吴艳红安迎和
Owner BEIJING INST OF ELECTRONICS SYST ENG
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