Geometrically Exact Beam Analysis Based on the Exponential Map Finite Rotations

被引:0
|
作者
Byeonguk Im
Haeseong Cho
YoungJung Kee
SangJoon Shin
机构
[1] Seoul National University,Department of Mechanical and Aerospace Engineering, Institute of Advanced Aerospace Technology
[2] Seoul National University,Institute of Advanced Machines and Design
[3] Korea Aerospace Research Institute,Rotorcraft Research Team
来源
International Journal of Aeronautical and Space Sciences | 2020年 / 21卷
关键词
Geometrically exact beam; Mixed-variational formulation; Moving composite structures; Exponential map finite rotation;
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中图分类号
学科分类号
摘要
This paper proposes a nonlinear finite-element analysis for slender composite structures with anisotropic material properties using the mixed geometrically exact beam formulation and exponential map finite rotation. Rodrigues finite rotation expression used in the existing mixed-variational formulation of the geometrically exact beam is further improved by replacing it with the exponential map finite rotation, which is free of singularities. As a result, the existing mixed-variational formulation is further simplified by the matrix arithmetic, so that numerical implementation of the resulting equations may become more compact. Using the present beam formulation, nonlinear static displacements of a straight beam, twisted straight beam, and initially curved beam are precisely predicted within smaller number of iterations compared to the existing formulations. In addition, the present eigenmode analysis is capable of providing the rotating natural frequencies for a full-scale realistic rotor blade accurately. As a result, the present analysis is applicable for large deflection behavior of a composite structure without the singularities in a better convergence.
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页码:153 / 162
页数:9
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