A Method for Analyzing Nonlinear Dynamic Characteristics of Fixed Beam Structures Considering Boundary Displacement

A technology of boundary displacement and analysis method, applied in computer material science, instrumentation, 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: 2021-01-26
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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  • A Method for Analyzing Nonlinear Dynamic Characteristics of Fixed Beam Structures Considering Boundary Displacement
  • A Method for Analyzing Nonlinear Dynamic Characteristics of Fixed Beam Structures Considering Boundary Displacement
  • A Method for Analyzing Nonlinear Dynamic Characteristics of Fixed Beam Structures 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 method for analyzing the nonlinear dynamic characteristics of a fixed-supported beam structure considering boundary displacement, comprising the following steps: calculating the analytical solution of the deflection curve of the fixed-supported beam through nonlinear analysis according to the boundary displacement and structural material parameters; The non-linear vibration equation of fixed beam structure with boundary displacement is solved by matrix transfer method and step-by-step search method to solve the variable coefficient vibration differential equation, and then the analytical solution of modal frequency and mode shape of nonlinear vibration of beam structure considering boundary displacement is obtained. The dynamic characteristic analysis method of the present invention considers the influence of the dynamic characteristic of the geometric nonlinear beam caused by the boundary displacement, and considers the coupling effect of the deflection of the beam and the vibration mode. The invention can effectively improve the analysis accuracy of the dynamic characteristic of the beam structure under the complex environment, and guide the design of the 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 Patents(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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