Cube unit deformation decomposition method meeting complete orthogonality and mechanical equilibrium conditions

Abstract

A cube unit deformation decomposition method meeting complete orthogonality and mechanical equilibrium conditions comprises the first step that spatial deformation of a 8-node cube unit is composed of rigid body displacement in the X direction, rigid body displacement in the Y direction, rigid body displacement in the Z direction, tension and compression deformation in the X direction, tension and compression deformation in the Y direction, tension and compression deformation in the Z direction, X-axis bending deformation in an XOY plane, Y-axis bending deformation in the XOY plane, Y-axis bending deformation in a YOZ plane, Z-axis bending deformation in the YOZ plane, X-axis bending deformation in an XOZ plane, Z-axis bending deformation in the XOZ plane, shear deformation in the XOY plane, shear deformation in the YOZ plane, shear deformation in the XOZ plane, rigid body rotation displacement in the XOY plane, rigid body rotation displacement in the YOZ plane, rigid body rotation displacement in the XOZ plane and X-axis reverse bending deformation. Based on the method, an engineering designer can conveniently decompose ductile deformation (such as tension and compression deformation and bending deformation) and brittle deformation (such as shear deformation and torsion deformation) of a structure according to finite element analysis and laboratory test and field test data.

Description

technical field [0001] The invention relates to a recognition method for spatial structure deformation and mode shape. Background technique [0002] At present, with the help of commercial finite element software, laboratory tests, simulation or on-site testing, etc., the deformation, stress, and strain of various engineering structures under the action of the environment can be accurately analyzed; the deformation here is the structure in the The comprehensive response under the external action, the stress and strain here are the reaction values ​​on the micro-elements of the structure. [0003] However, on the one hand, structural designers are more concerned about the ratio of ductile deformation to brittle deformation in structural deformation; because brittle deformation should be avoided as much as possible in design. On the other hand, the response value of the micro-element may be difficult to describe the deformation essence of the macrostructure; for example, the ...

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Problems solved by technology

[0004] In terms of identification and analysis of engineering structure vibration modes, the existing mass participation coefficient method and its derivative methods can only qualitatively analyze various coupled vibration modes such as bending-shear mode and shear-bend mode, but cannot achieve quantitative identification.

[0005] Therefore, the basic deformation decomposition and mode shape identification of macroscopic structures based on the analysis of structural micro-element volume response values ​​is of great significance, and the key is to propose a deformation decomposition method for cube elements that satisfies complete orthogonality and mechanical equilibrium conditions. At present, the method not yet found

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