Aim. The introduction of the full paper reviews some papers in the open literature and then proposes the research mentioned in the title. Sections 1 through 4 explain our application. The core of sections 1,2 and 3 consists of: (1) through Taylor expansion and interval extension of function, the interval values of the objective functions and the constraint functions can be obtained; (2) based on interval possibility degree, the integrated optimization mathematical model with stress and voltage constraints of piezoelectric smart truss is constructed; the upper bound of the structure weight and that of the quadratic objective function are taken as objective functions; the cross sectional areas of bars, nodal topological information, actuator placement, the number of actuators and control gain are regarded as design variables; (3) the Pareto CMOPGA (genetic algorithm for constrained multi-objective optimization problem) on the basis of individual ranking is adopted to solve the constraint multi-objective optimization problem. Section 4 gives a numerical example, whose results are presented in Figs. 5,6 and 7 and Tables 1 and 2. On the basis of the results of the numerical example, section 5 gives four preliminary conclusions.%针对区间参数压电智能桁架结构/控制一体化多目标拓扑优化设计问题进行研究.考虑的区间参数有普通杆件、压电作动杆及其连接杆的弹性模量、密度、杆件的截面面积、普通杆件的许用应力、压电作动杆所施加控制电压的限值,基于泰勒展开和区间扩张导出区间参数压电受控结构的开闭环特性,以结构和控制器的信息为设计变量,结构的质量和控制能量的上限为目标,满足结构杆件应力和控制系统电压的区间可能度约束条件,建立考虑拓扑的区间参数压电智能桁架结构/控制一体化多目标优化模型.优化求解策略采用基于Pareto排序的求解有约束的多目标遗传算法.数值算例验证了模型和方法可行性和有效性.
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