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在结构质量限制条件下 ,提出了一个结构非概率可靠性优化设计的数学模型 .数学模型由两个优化过程组成 .第一个优化过程是在结构质量约束下极大化结构非概率可靠性 .第二个优化过程是在载荷不确定性条件下 ,考虑结构应力、位移约束和极小化结构质量 .其中第二个优化过程嵌套在第一个优化过程之中 .作为一个数字算例 ,用所提出的优化模型进行了一个桁架结构的非概率可靠性优化设计 .当关于所有不确定性载荷的信息严重缺乏时 ,设计者宜采用最小值最大化法则进行结构非概率可靠性优化设计 .设计者如果仅对某个不确定性载荷的特性知之甚少而对其他不确定性载荷的波动变化有较好的了解 ,则可事先确定其他不确定性参数的值而最大化该不确定性参数
Under the condition of structural quality constraints, a mathematical model of structural non-probabilistic reliability optimization design is proposed.The mathematical model consists of two optimization processes.The first optimization process is to maximize the non-probabilistic reliability of the structure under the constraints of the structural quality. The second optimization process is to consider the structural stress, displacement constraints and the minimization of structural quality under the condition of load uncertainty, in which the second optimization process is nested in the first optimization process.As a numerical example, Using the proposed optimization model, a non-probabilistic reliability optimization design of truss structure is proposed.When the information about all the uncertain loads is seriously lacking, designers should adopt the minimum maximization rule to optimize the structure non-probabilistic reliability. Designers who know little about the behavior of an uncertain load and have a better understanding of the fluctuations of other uncertain loads can determine the values of other uncertainties in advance to maximize the uncertainty parameter