优化设计中梁截面参数间函数关系的形状乘子法

提出了处理优化设计中梁截面参数间函数关系的形状乘子法。这种方法可以适用于各种复杂的梁截面，并且灵活地运用在含有梁截面的优化设计中。利用这种方法可以使含梁结构的优化更广泛地运用到工程实际问题中。

A cross-sectional shape multiplier method for optimum design of structures with beam elements

The cross-sectional shape multiplier method was presented deal with section properties of beam element. The cross-section of a given beam element can be defined by the locations or coordinates of its boundary corner-points. It will be shown here that the section properties of a given beam element are functions of the location of its corner-points. Therefore , know- ing the initial shape of a cross-section , the shape multiplier can be used as design variables to find the new cross-sectional shape and the corresponding properties for any simple or com- plex cross-section. For frame structures , this can substantially reduce the total number of design variables and improve the efficiency of the optimum design process. Numerical exam- ples show that the performance of the method is satisfactory and the method is easy to be used.