大变形复合材料薄板多体系统动力学建模  

Dynamic modeling of composite thin-plate multibody systems with large deformation

作　　者：张炜华[1] 刘锦阳[1] 

机构地区：[1]上海交通大学船舶海洋与建筑工程学院,上海200240

出　　处：《振动与冲击》2016年第8期27-35,共9页Journal of Vibration and Shock

基　　金：国家自然科学基金资助项目(11272203;11132007)

摘　　要：对大变形复合材料薄板的多体系统动力学建模方法进行研究。基于Kirchhoff假设,法线与中面保持垂直,从格林应变的表达式出发,建立了面内应变和曲率与绝对位置坐标和斜率的关系,在此基础上推导了广义弹性力阵和弹性力阵对广义坐标的导数阵,用绝对节点坐标方法建立了大变形复合材料薄板多体系统的动力学方程,用广义α法和和牛顿迭代法求解微分-代数混合方程。对外载荷作用下的复合材料薄板进行数值仿真,通过与ANSYS的仿真结果进行对比,验证了该建模方法的准确性和快速收敛性。最后,将建模方法应用于复合材料太阳帆板展开机构的数值仿真,分析了不同铺层情况下驱动力和约束力的振动特性。Dynamic modeling theory of composite investigated. Based on Kirchhoffs assumption that the normal thin-plate multibody systems with large deformation was vector is always perpendicular to the central surface, the relation among in-plane strains, curvatures, absolute nodal coordinates and absolute gradients were derived according to the definition of Green strain, and the generalized elastic-force vector and its differentiation with respect to the generalized coordinates were derived. Equations of motion of the composite thin-plate multibody systems with large deformation were derived based on absolute nodal-coordinate formulation. Generalized method and the Newton-Raphson method were used to solve the differential-algebraic equations. Simulation of a composite thin plate applied with an external force was conducted. Comparison of the present simulation results with those obtained by ANSYS software verifies the accuracy and effectiveness of the formulation. Finally, the proposed formulation is used for numerical simulation of composite solar-array deployment mechanisms. The vibration characteristics of the driving force and constraint forces are analyzed in case of different panel layers.

关 键 词：大变形 复合材料薄板 动力学 空间展开机构 

分 类 号：O313.7[理学—一般力学与力学基础]