Plane component deformation decomposition and vibration mode identification method based on orthogonal decomposition theory

Abstract

The invention relates to a plane component deformation decomposition and vibration mode identification method based on an orthogonal decomposition theory. The method comprises the following steps: step 1, the plane deformation of a four-node square unit is formed by laminating eight basic deformation such as the rigid body displacement in an x direction, the rigid body displacement in a y direction, the extruding deformation in the x direction, the extruding deformation in the y direction, the bending deformation in the x direction, the bending deformation in the y direction, the shear deformation and the rigid body rotation displacement; targeting for the four-node square unit, an orthogonal decomposition method is adopted to respectively establish the basic deformation vector of each of the rigid body displacement in the x direction, the rigid body displacement in the y direction, the extruding deformation in the x direction, the extruding deformation in the y direction, the bending deformation in the x direction, the bending deformation in the y direction, the shear deformation and the rigid body rotation displacement. The method is also applicable when the structure of a plane component is divided into large units, the calculation workload is alleviated; moreover, the bending deformation and the shear vibration mode can be identified, and the stress situation and vibration type inside a component can be more accurately and completely reflected.

Description

technical field [0001] The invention relates to a method for identifying the deformation and mode shape of a plane component. Background technique [0002] Components are the basic components of engineering structures, and the deformation analysis of components is an important means to ensure the safety and applicability of structures. At present, the deformation analysis methods of components include finite element stress-strain analysis method and experimental analysis method. In the finite element stress-strain analysis of components, through finite element calculations, the linear displacement values ​​of element nodes can be obtained, and then the strain values ​​of component elements can be obtained, including normal strain and shear strain, etc.; experimental analysis can be done by installing displacement meters, pasting The linear displacement or stress and strain of a certain point on the component can be obtained by using strain gauges or embedding optical fiber ...

AI Technical Summary

Problems solved by technology

However, the 8 basic deformations listed by Robert Cook do not fully satisfy the orthogonal relationship

Images