针对动压力作用下连续体结构拓扑优化问题,文中以结构动柔顺度为目标,以材料体积为约束,建立拓扑优化模型。该优化问题作为一般动力学拓扑优化问题的延伸,其动压力载荷不仅随着时间简谐变化,而且随着结构拓扑和形状的变化而改变力的作用点和方向。文中提出一种基于单元的边界搜索方法,简便而准确地获得优化过程中的压力加载边界。同时采用RAMP(rational approximation of material properties)方法消除局部模态现象。数值算例表明,采用这种新的边界搜索方法,结合RAMP方法处理此类问题是有效的。
Topology optimization of continuum structures subjected to hydrodynamic surface pressure loading was studied. The problem is an extension of the traditional topology optimization. The pressure loading not only varies harmonically with time, but also depends on the design itself, i.e. the direction, location and magnitude of the loads may change with the topology and shape of the structures changes. The design objective was to minimize the dynamic compliance of the structures with the constraint on the total structural volume. A simple and new element-based botmdary search scheme was proposed to identify the loading surfaces during optimization and the RAMP (rational approximation of material properties) model was used to eliminate the localized modes in low density areas. Several numerical examples validate the effectiveness and efficiency of the combination of the proposed boundary seawh scheme and the RAMP model in solving this type of optimiz fion problems.