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Sheet vibration characteristic analysis method based on Galerkin strip distributed transfer function

A technology of vibration characteristics and analysis methods, which is applied in the direction of electrical digital data processing, special data processing applications, instruments, etc., and can solve problems such as application limitations of the strip transfer function method

Active Publication Date: 2017-06-30
NAT UNIV OF DEFENSE TECH
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Problems solved by technology

However, the traditional strip transfer function method is based on Hamilton's principle, and the energy functional corresponding to the problem to be obtained needs to be given first
The problem is that not all problems can easily give their corresponding energy functionals, such as the thin plate bending problem based on the differential non-local constitutive model, which limits the application of the strip transfer function method

Method used

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  • Sheet vibration characteristic analysis method based on Galerkin strip distributed transfer function
  • Sheet vibration characteristic analysis method based on Galerkin strip distributed transfer function
  • Sheet vibration characteristic analysis method based on Galerkin strip distributed transfer function

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Embodiment Construction

[0057] like figure 1 As shown, the steps of the thin plate vibration characteristic analysis method based on the Galerkin strip transfer function in this embodiment include:

[0058] 1) Divide the given rectangular area on the thin plate into NE rectangular areas with NE+1 knot lines, each rectangular area is a strip unit, and the jth strip unit contains the jth knot line and the j+th 1 junction and 4 nodes; see figure 2 and image 3 , the length of the given rectangular area in this embodiment is a, and the total width is b. After dividing NE+1 tie lines into NE rectangular areas, the width of each strip unit is l, and Oxy is the local area of ​​the strip unit Coordinate System;

[0059] 2) Select the shape function matrix N(y), and calculate the stiffness matrix of each strip element according to the selected shape function matrix N(y) mass array m e and the load vector f e ;

[0060] 3) Based on the stiffness matrix of each bar element mass array m e and the loa...

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Abstract

The invention discloses a sheet vibration characteristic analysis method based on a Galerkin strip distributed transfer function. The method comprises the following steps: 1, dividing a preset rectangular area on a sheet into NE rectangular areas with NE + 1 tie lines, wherein each rectangular area is a strip-shaped unit; 2, selecting a shape function matrix, and calculating the stiffness matrix, the mass matrix and the load vector of each strip-shaped unit; 3, assembling a ensemble motion differential equation and dealing with the boundary condition for the ensemble motion differential equation; 4, calculating the transfer matrix and the boundary matrix of the ensemble motion differential equation; 5, according to the transfer matrix and the boundary matrix, calculating the natural frequency. The sheet vibration characteristic analysis method has the advantages that the accuracy of the solution is high; data storage of the calculation process is less and the calculation efficiency is high.

Description

technical field [0001] The invention relates to the field of elastic mechanics, in particular to a thin plate vibration characteristic analysis method based on a Galerkin strip transfer function. Background technique [0002] In elastic mechanics, only a few problems can be solved analytically, and most problems need to be solved by numerical methods, and the solution of the vibration characteristics of Kirchhoff plates is also the same. Among many numerical methods, the finite element method is the most common and the most practical method. The biggest advantage of the finite element method is that it is not limited by the solution area, boundary conditions, and material properties, and can analyze elastic mechanics problems with complex geometries. However, the finite element method has a large amount of calculation and a long calculation time, which requires high performance of the computer. Especially for some special problems, such as the real-time calculation of acti...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/50
CPCG06F30/20G06F2113/24
Inventor 申志彬姜人伟唐国金谢燕李奕飞
Owner NAT UNIV OF DEFENSE TECH
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