Deformation performance analysis of thin plates based on a deformation decomposition method

Thin plates are the most common spatially stressed members in engineering structures that bear out-of-plane loads. Therefore, it is of great significance to study the deformation performance characteristics of thin plates for structural design. By constructing 12 basic displacement and deformation basis vectors of the four-node square thin plate element, a deformation decomposition method based on the complete orthogonal mechanical basis matrix is proposed in this paper. Based on the deformation decomposition method, the deformation properties of the thin plate can be quantitatively analyzed, and the areas dominated by each basic deformation can be visualized. In addition, the method can not only obtain more deformation information of the structure, but also identify macroscopic basic deformations, such as bending, shear and warping deformations. Finally, the deformation properties of the bidirectional thin plates with different sizes of central holes are analyzed, and the changing rules are obtained.

Automated summary

This paper proposes a deformation decomposition method based on the orthogonal mechanical basis matrix, which can quantitatively analyze the deformation characteristics of thin plates and determine the dominant basic deformation modes. Meanwhile, the deformation rules of bidirectional thin plates with different sizes of central holes are studied.