摘要
研究了绝对坐标法在大变形柔性梁系统刚-柔耦合动力学问题中的应用.考虑几何非线性,用绝对坐标法推导出有限元离散的平面梁系统的动力学方程.用能量守恒原理验证了绝对坐标法计算结果的正确性.比较大变形时的绝对坐标法与一次近似的混合坐标法的计算结果表明,文中绝对坐标法比一次近似的混合坐标法模型更精确,适合于大变形的情况.
The application of an absolute nodal coordinate (ANC) formulation in the coupling dynamics of flexible beams with large deformation was investigated. By using geometric nonlinear formulation and finite element method, the dynamics equations of planar beams system were developed by using the ANC formulation. The comparison between the ANC formulation and nonlinear strain-displacement formulation in the case of small deformation and large deformation indicates that the ANC formulation is more precise and suited for the beams with large deformation. The present results are verified by using the energy conservation law.
出处
《上海交通大学学报》
EI
CAS
CSCD
北大核心
2005年第5期827-831,共5页
Journal of Shanghai Jiaotong University
关键词
柔性梁系统
动力学方程
绝对坐标法
大变形
Deformation
Energy conservation
Finite element method
Kinetic theory
Numerical methods