针对局部非线性问题的混合坐标模态综合法

doi:10.7527/S1000-6893.2015.0360

Abstract

Abstract:

The calculation efficiency of nonlinear dynamic system has become increasingly important in the structural dynamics field. A hybrid coordinates component mode synthesis method is proposed in this paper for the structure with localised nonlinearities. According to its feature, generally, the system is divided into the linear component and nonlinear component. The equations of the linear component can be transformed into the modal coordinates by its linear vibration modes. In order to improve the accuracy, the residual flexibility attachment matrix of the system is introduced. And by constructing the weighted-orthogonal vector sets which have weighted-orthogonal relationship with the lower retained modes, the residual flexibility attachment matrix is obtained without using inverse of the stiffness matrix. The equations of the nonlinear component are kept as their original form. The synthesis equations which are expressed by hybrid coordinates are derived in terms of compatibility conditions at the interface. Finally, applications of the proposed methods to the numerical examples demonstrate that the present method is computationally effective.

Key words: localised nonlinearities, hybrid coordinates, free interface, component mode synthesis method, compatibility conditions

CLC Number:

WANG Tao, HE Huan, CHEN Guoping. Component mode synthesis method based on hybrid coordinates for structure with localised nonlinearities[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2016, 37(9): 2757-2765.

References

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Component mode synthesis method based on hybrid coordinates for structure with localised nonlinearities

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