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SIMULTANEOUS DESIGN OF STRUCTURAL TOPOLOGY AND CONTROL

机译:结构拓扑与控制的同时设计

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摘要

Simultaneous optimization with respect to the structural topology, actuator locations and control parameters of an actively controlled plate structure is investigated in this paper. The system consists of a clamped-free plate, a H_2 controller and four surface-bonded piezoelectric actuators utilized to suppress the bending and torsional vibrations induced by external disturbances. The plate is represented by a rectangular design domain which is discretized by a regular finite element mesh and for each element the thickness ratio is used as a design variable. A nested solving approach is adopted in which Ricatti-based control syntheses are considered as sub processes and nested into the main optimization process using the method of moving asymptotes to optimize the structural topology and actuator locations. To obtain clear and manufacturable topology, the popular techniques in the topology optimization area including penalization, filtering and perimeter restriction are also employed. Numerical example shows that the approach used in this paper can produce systems with clear structural topology and high control performance.
机译:本文针对主动控制板结构的结构拓扑,致动器位置和控制参数进行了同时优化。该系统由一块无夹板,一个H_2控制器和四个用于抑制外部干扰引起的弯曲和扭转振动的表面粘合压电致动器组成。该板由矩形设计域表示,该矩形设计域由规则的有限元网格离散化,并且对于每个元素,将厚度比用作设计变量。采用嵌套求解方法,其中基于Ricatti的控制合成被视为子过程,并使用移动渐近线的方法嵌套到主优化过程中,以优化结构拓扑和执行器位置。为了获得清晰且可制造的拓扑,还采用了拓扑优化领域中流行的技术,包括惩罚,过滤和边界限制。数值算例表明,本文所采用的方法可以产生结构清晰,控制性能高的系统。

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