求解大柔度梁/绳索的ANCF单元及隐式迭代格式  

The ANCF element and implicit iterative formulation for highly flexible beam/cable

作　　者：罗鑫 魏泳涛 LUO Xin;WEI Yong-tao(College of Architecture and Environment,Sichuan University,Chengdu 610065,China;Sichuan Zhongrui Information Technology Co.Ltd.,Chengdu 610094,China)

机构地区：[1]四川大学建筑与环境学院,成都610065 [2]四川中锐信息技术有限公司,成都610094

出　　处：《计算力学学报》2021年第1期126-132,共7页Chinese Journal of Computational Mechanics

摘　　要：为模拟大柔度梁/绳索结构的变形和大范围运动,基于绝对节点坐标方法ANCF(Absolute nodal coordinate formulation)和HHT(Hilber-Hughes-Taylor)积分方法,建立了ANCF单元的隐式动力学迭代格式。得到了简洁的节点等效力向量,且进一步导出了切线刚度矩阵的全部公式,并基于罚方法实现了对不同ANCF单元的铰接和刚性连接。分别对弦振动、双杆摆和T字摆、柔绳进行了数值模拟,数值结果与理论解及已有结果吻合良好,验证了本文方法的正确性。To simulate deformation and large overall motion for highly flexible beam/cable structures,an implicit dynamic iteration formulation for cables is presented based on ANCF(Absolute nodal coordinate formulation) and HHT (Hilber-Hughes-Taylor) integration method.Concise expressions of nodal equivalent forces are obtained,and all tangent stiffness matrices are derived further.Hinge joints and rigid connections are handled by employing the penalty method.A vibrating string,a double pendulum,a T-shape pendulum and a flexible cable are simulated.Numerical results are in good agreement with the analytical solutions and the reported data,which verifies the validity of the presented method.

关 键 词：大柔度梁/绳索 绝对节点坐标方法 节点等效力 切线刚度矩阵 铰链/刚性连接 

分 类 号：O302[理学—力学]