摘要
用多刚体_球铰模型对大垂度柔索进行离散化建模 ,利用多刚体系统动力学理论建立了该模型的动力学方程· 采用矩阵广义逆理论对其位移和速度进行修正 ,以消除该微分_代数方程在数值分析中的违约现象· 数值仿真证明了该方法的正确性·
Discrete model of flexible cable with large sag is established by using multiple rigid body_spherical hinge model, and dynamic equation of that discrete model is derived according to dynamics theory of multiple rigid body system. Displacement and velocity of system are revised to eliminate violation phenomenon of the differential_algebra equation in numerical simulation based on the theory of generalized inverse of matrices. Numerical simulation proves the validity of our method.
出处
《应用数学和力学》
EI
CSCD
北大核心
2000年第6期640-646,共7页
Applied Mathematics and Mechanics
基金
国家自然科学基金!资助项目 (596 35140 )
国家教委博士点基金
航空工业总公司基金
关键词
大垂度柔索
多刚体动力学
数值仿真
动力学
建模
flexible cable with large sag
multiple rigid body system dynamics
numerical simulation
violation correction
