A method for dynamic analysis of three-dimensional laminate structure

Abstract

The invention provides a three-dimensional laminated structure dynamics analysis method, belonging to the technical field of structure dynamics. The core of the analysis method of the invention is that on the basis of the three-dimensional elastic theory, the series of the mixed orthogonal polynomial is introduced into the state space method, and because of the existence of the boundary characteristic function, the limitation of the boundary condition can be effectively overcome, and the multi-boundary condition can be effectively and flexibly processed. Based on the three-dimensional elastictheory and fully considering the lateral deformation and the interlayer continuous condition, the invention establishes a high-precision mathematical model suitable for multi-boundary conditions; In the process of boundary treatment, only adjusting the parameters of boundary characteristic function can realize the effective treatment of different boundaries, without re-modeling or re-programming,to achieve unified treatment, greatly reduce the computational cost and improve the computational efficiency.

Description

technical field [0001] The invention belongs to the technical field of structural dynamics, and in particular relates to a dynamic analysis method of a three-dimensional laminated structure. Background technique [0002] Composite laminated structures are widely used in many fields such as aerospace, ship engineering, and vehicle engineering because of their high specific strength, specific stiffness, and strong designability. Different application fields and working environments have different performance requirements for this kind of structure. In-depth study of the dynamic characteristics of this kind of structure and the law of parameter influence has important theoretical value and guiding significance for the design and optimization of the structure. [0003] At present, the research on the dynamics of composite laminated structures is mainly based on the equivalent single layer theory. This theory is a direct extension and application of the traditional single-layer ...

AI Technical Summary

Problems solved by technology

However, when there are many layers and the material properties of each layer are quite different, in order to accurately describe the displacement field distribution, it is necessary to divide more units in the thickness direction, resulting in a decrease in calculation efficiency

In addition, there are disadvantages such as weak inheritance of calculation results and difficulty in parameter analysis.

Compared with the numerical method, the analytical method has the advantages of high precision and high efficiency, but it is limited by the boundary conditions and layering methods, and it is difficult to meet the engineering needs

For example, the traditional state-space method can only deal with simply supported boundary conditions. Although the state-space method has been improved by introducing numerical methods such as the differential quadrature method, there is still a reprogramming process when dealing with different boundary conditions.

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