This paper presents a Material Mask Overlay Strategy topology optimization approach with improved material assignment at the element level for achieving close to black-and-white designs for pressure-loaded problems. Hexagonal elements are employed to parametrize the design domain as this tessellation provides nonsingular local connectivity. Elliptical negative masks are used to find the optimized material layout. The material dilation and material erosion variables of each mask are systematically varied in association with a gray-scale measure constraint to achieve designs close to 0-1. Darcy's law in association with a drainage term is used to formulate the pressure field. The obtained pressure field is converted into the consistent nodal forces using Wachspress shape functions. Sensitivities of the objective and pressure load are evaluated using the adjoint-variable method. The approach is demonstrated by solving various pressure-loaded structures and pressure-actuated compliant mechanisms. Compliance is minimized for loadbearing structures, whereas a multicriteria objective is minimized for mechanism designs.
翻译:本文展示了一种材料面罩重叠战略地形优化方法,在元素一级改进材料分配,以接近黑白设计,处理压力加载问题。六边形元素用于对设计领域进行对称,因为这种通贝提供非静态的局部连接。 Ellipatic 负面罩用于寻找优化的材料布局。每个面罩的物质放大和物质侵蚀变量随着灰度测量限制而系统地变化,以达到接近0-1的设计。达西法律与排水术语相关联的法律用于设计压力字段。所获得的压力字段被用Wachspress形状功能转换为一致的节点力。目标和压力负荷的敏感性是使用联合可变法方法进行评估的。该方法的证明是解决各种压力加载结构和压力活化机制。负载结构的合规性最小化,而机制设计的多标准目标则被最小化。