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Clamped beam structure nonlinear dynamic characteristic analysis method considering boundary displacement

A technology of boundary displacement and analysis method, which is applied in the direction of instruments, electrical digital data processing, geometric CAD, etc., can solve problems such as analysis methods that do not consider the coupling effect of static deflection and vibration displacement

Active Publication Date: 2020-06-19
SOUTHEAST UNIV
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Problems solved by technology

At present, the research on the nonlinear characteristics of beam structures mainly uses the form of linear superposition to analyze with the help of finite element software, and there is no analysis method that considers the coupling effect of static deflection and vibration displacement

Method used

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  • Clamped beam structure nonlinear dynamic characteristic analysis method considering boundary displacement
  • Clamped beam structure nonlinear dynamic characteristic analysis method considering boundary displacement
  • Clamped beam structure nonlinear dynamic characteristic analysis method considering boundary displacement

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Embodiment 1

[0128] Taking the static large deformation analysis of a beam fixed at both ends under forced boundary displacement as an example, as shown in figure 2 shown. Aluminum alloy beam is used, elastic modulus E=70000MPa, Poisson's ratio μ=0.3, density ρ=2.7×10 -9 t / mm 3 , beam length L = 320mm, the beam is a rectangular section, width b = 20mm, height h = 2mm, forced displacement of the left end -10mm.

[0129] First assume that the deflection curve displacement function w 0 , taking the left end of the beam as the coordinate origin, the boundary constraint condition can be expressed as w 0 | x＝0 =-10

[0130] w 0 | x＝L =0

[0131] w' 0 | x＝0 =w' 0 | x＝L =0

[0132] In the formula, the superscript "'" represents the first-order partial derivative to x; according to the boundary constraints, w 0 can be assumed to be

[0133]

[0134] In the formula, n is the number of expression items selected according to the calculation accuracy requirements. When n is taken as ...

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Abstract

The invention discloses a clamped beam structure nonlinear dynamic characteristic analysis method considering boundary displacement, and the method comprises the following steps: calculating an analytical solution of a deflection curve of a clamped beam through nonlinear analysis according to the boundary displacement and structural material parameters; a clamped beam structure nonlinear vibrationequation considering boundary displacement is established, a variable coefficient vibration differential equation is solved through a matrix transfer method and a step-by-step search method, and thena beam structure nonlinear vibration modal frequency and modal shape analytical solution considering boundary displacement is obtained. According to the dynamic characteristic analysis method, the influence of boundary displacement on the dynamic characteristics of the geometric nonlinear beam is considered, and the coupling effect of the beam deflection and the vibration mode is considered. Themethod can effectively improve the dynamic characteristic analysis precision of the beam structure in a complex environment, and guides the design of an engineering structure.

Description

technical field [0001] The invention relates to a method for analyzing the dynamic characteristics of a beam structure, in particular to a method for analyzing the nonlinear dynamic characteristics of a fixed-supported beam structure considering boundary displacement. Background technique [0002] Beam structures are widely used in engineering structures and face complex load environments during service. Structural property analysis can provide important guidance for structural design. Boundary displacement is a typical working condition of beam structure in engineering practice. At present, the research on the nonlinear characteristics of beam structures mainly adopts the form of linear superposition and analyzes with the help of finite element software. There is no analysis method that considers the coupling effect of static deflection and vibration displacement. At the same time, the analysis method has higher analysis precision than the finite element method. [0003]...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F30/13G16C60/00G06F111/10G06F119/14
CPCG16C60/00
Inventor 费庆国杨轩吴邵庆李彦斌陈强
Owner SOUTHEAST UNIV
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