摘要
根据悬索悬链线方程推导出索端拉力解析表达式的简单形式,并将其应用到舱索系统的非线性静力学平衡方程中。推导出相应的Jacobian矩阵之后采用具有二次收敛性的Newton-Raphson迭代法进行求解,得到更快的求解速度以满足控制的要求。求解过程中采用优化策略得到更为均匀的悬索拉力。最后在数值算例中验证了模型的正确性。
The simple expressions of the end force of a cable are deduced according to the catenary equation, and applied to the nonlinear equilibrium equations of a cabin-cable system. The equations are solved by the Newton-Raphson iteration method after the Jacobian matrices are deduced. This method has quadratic convergence properties and a faster solution to meet the control requirement. Moreproportional cable tension is obtained by using optimization strategies. Finally, a numerical instance testified the correctness of the method.
出处
《机械科学与技术》
CSCD
北大核心
2006年第8期946-948,1000,共4页
Mechanical Science and Technology for Aerospace Engineering
基金
国家自然科学基金跨科学部交叉重点项目(10433020)资助
