为了有效解决张拉整体结构在各种动态激励下的振动控制问题,保证结构的功能与安全性,研究张拉整体结构的主动控制问题.根据结构的机电耦合作动方程,推导结构的状态空间描述.基于瞬时最优控制算法和New—mark关系,推导张拉整体结构机电耦合最优控制方程.在Newmark算法的基础上引入NewtomRaphson迭代过程,考虑结构的几何非线性效应,实现了张拉整体结构的机电耦合非线性主动控制.以双层柱状张拉整体结构在随机激励下的振动控制为例,验证了算法的正确性与可行性.
The active control of tensegrity structures was analyzed in order to effectively solve the vibration control problem of tensegrity structures under various dynamic actuations and ensure the function and safety of the structure. The state description of tensegrity structures was derived from the electromechanical actuation equation. The electromechanical optimal control equation for tensegrity structures was obtained based on the instantaneous optimal control and the Newmark relation. The geometrical nonlinearity of the structural system was considered by adding an iteration process on the Newmark algorithm. Then the electromechanical and nonlinear active control of tensegrity structures was achieved. Numerical simulations with a double-layer cylinderical tensegrity structure were conducted to verify the validity of the method.