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Form-Finding Analysis and Active Shape Adjustment of Cable Net Reflectors with PZT Actuators

机译:带PZT执行器的电缆网反射镜的找形分析和主动形状调整

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摘要

High-precision cable net reflectors are widely required for future communications and observations. Concerning the improvement of their surface accuracy, the active cable structure constructed by incorporating a piezoelectric (PZT) actuator into flexible cables has been proposed to achieve active shape control or active correction of the reflector surface. Two design stages of the cable net reflector with active cables, the form-finding analysis and active shape adjustment, are investigated. The form-finding analysis is derived from nodal force equilibrium equations by the minimum norm method-solving linear equations. An active shape adjustment method with the aid of active cables is then proposed to find the actuation voltages of PZT actuators for the prescribed shape. The adjustment method is divided into three parts: a finite element model of the active cable net reflector, an active adjustment optimal model, and its solving method using the multidimensional advance retreat algorithm. Finally, numerical examples of a parabolic cable net reflector are analyzed. Simulation results demonstrate that the proposed methods can warrant cable tension forces, which fall into a specified range, and the deformed cable net reflector surface can match the one designed by PZT actuators.
机译:未来的通讯和观测广泛需要高精度的电缆网反射器。关于其表面精度的改善,已经提出了通过将压电(PZT)致动器结合到柔性电缆中而构造的有源电缆结构,以实现反射器表面的有源形状控制或有源校正。研究了带有有源电缆的索网反射器的两个设计阶段,即找形分析和有源形状调整。通过最小范数法求解线性方程,从节点力平衡方程中得出找形分析。然后,提出了一种借助有源电缆的有源形状调节方法,以找到用于指定形状的PZT执行器的驱动电压。调整方法分为三部分:有源电缆网反射器的有限元模型,有源调整最优模型及其使用多维超前退算法的求解方法。最后,分析了抛物线形电缆网反射器的数值示例。仿真结果表明,所提出的方法可以保证电缆拉力在规定范围内,变形的电缆网反射器表面可以与PZT执行器设计的相匹配。

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