Structural dynamic characteristic analysis method and system based on dimension reduction calculation

Abstract

The invention discloses a structural dynamic characteristic analysis method and system based on dimension reduction calculation, which are applied to the technical field of civil engineering structural dynamic characteristic analysis, and the method comprises the following steps: obtaining structural parameters, establishing a structural finite element model, and obtaining a stiffness matrix K and a mass matrix M of a structure; calculating a joint matrix G according to the stiffness matrix K and the mass matrix M; selecting m key degrees of freedom, wherein m is much less than n; carrying out matrix partitioning on the joint matrix G, and obtaining all partitioned sub-matrixes; calculating and obtaining a transition matrix H by using each block sub-matrix; and performing calculating by using the transition matrix H to obtain a rigidity matrix after dimension reduction and a mass matrix after dimension reduction, solving the dynamic characteristic equation after dimension reduction, and obtaining dynamic characteristic parameters of the original structure. According to the method, a high-dimensional finite element model is reduced into a low-dimensional finite element model, and then dynamic characteristic calculation is carried out, so that the calculation time and the calculation cost can be effectively saved, high-precision dynamic characteristic parameters are obtained, and the method can be applied to structural dynamics analysis, optimization design or safety diagnosis.

Description

technical field [0001] The invention relates to the technical field of dynamic characteristic analysis of civil engineering structures, in particular to a structural dynamic characteristic analysis method and system based on dimensionality reduction calculation. Background technique [0002] Structural dynamic characteristic parameters (vibration frequency and mode shape) are important parameters widely used in structural dynamic analysis, optimal design or safety diagnosis. [0003] At present, the common method to obtain dynamic characteristic parameters is: through establishing the finite element model of the structure, and solving the dynamic characteristic equation to obtain the dynamic characteristic parameters. However, when this method is applied to large-scale engineering structures, it requires a huge amount of calculation and has high requirements for computing equipment, which is difficult to implement with ordinary computers. [0004] Therefore, a structural dy...

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Problems solved by technology

However, when this method is applied to large-scale engineering structures, it requires a huge amount of calculation and has high requirements for computing equipment, which is difficult to achieve with ordinary computers.

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