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中文摘要：
基于独立连续印射方法(ICM ) ，有连续拓扑的变量的一个拓扑的优化模型被为元素重量介绍三过滤器功能造，元素许可的压力和元素僵硬，哪个变换 0-1 类型分离拓扑的变量进在 0 和 1 之间的连续拓扑的变量。为过滤器功能的二个方法被采用避免结构的奇特并且恢复虚伪地删除的元素：弱材料元素方法和微小的节元素方法。三个标准(没有结构的奇特，没有违背的限制和结构的重量的没有变化) 被介绍判定重复集中。这些标准允许由在重复过程调整一个折扣因素发现适当阀值。改进效率，原来的优化模型根据双理论被转变成一个双问题并且在它的双空间解决了。由作为发展中的平台把 MSC/Nastran 用作结构的解答者和 MSC/Patran，框架结构的一个拓扑的优化软件被完成。数字例子证明 ICM 方法为框架结构的拓扑的优化是很有效的。
英文摘要：
Based on the Independent Continuous Mapping method （ICM）, a topological optimization model with continuous topological variables is built by introducing three filter functions for element weight, element allowable stress and element stiffness, which transform the 0-1 type discrete topological variables into continuous topological variables between 0 and 1. Two methods for the filter functions are adopted to avoid the structural singularity and recover falsely deleted elements： the weak material element method and the tiny section element method. Three criteria （no structural singularity, no violated constraints and no change of structural weight） are introduced to judge iteration convergence. These criteria allow finding an appropriate threshold by adjusting a discount factor in the iteration procedure. To improve the efficiency, the original optimization model is transformed into a dual problem according to the dual theory and solved in its dual space. By using MSC/Nastran as the structural solver and MSC/Patran as the developing platform, a topological optimization software of frame structures is accomplished. Numerical examples show that the ICM method is very efficient for the topological optimization of frame structures.
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