论文标题
拓扑优化的归一化现场产品方法
Normalized Field Product method for Topology Optimization
论文作者
论文摘要
该论文介绍了一种基于标量场的归一化乘积进行拓扑优化的新颖，无参数的密度评估方法。该方法隐式地对固相施加了长度比例，并允许在设计空间中存在纯0-1的无奇异解决方案。本文提出的密度公式与用户指定的参数无关，而其他长度尺度则独立。通过将所提出的密度评估与SIMP材料模型相结合获得的配方的灵敏度分析表明，对于合规性最小化和较小的变形机制问题，在纯为0-1拓扑的情况下，客观梯度消失了。该方法的实施是为了解决文献中众所周知的示例，以在不使用启发式方法或持续方法的情况下，无需使用二进制解决方案，以呈现不同的网格细化。
The paper presents a novel, parameter free, density evaluation method for topology optimization based on normalized product of a scalar field. The approach imposes length scale on solid phase implicitly and allows for pure 0-1 singularity free solutions to exist within the design space. The density formulation proposed herein is independent of user specified parameters, other then the length scale. Sensitivity analysis for the formulation obtained by combining the proposed density evaluation with the SIMP material model reveal that for compliance minimization and small deformation compliant mechanism problems, objective gradients vanish at pure 0-1 topologies. The methodology is implemented to solve well known examples in literature for different mesh refinements presenting mesh independent and close to binary solutions without the use of heuristics or continuation methods.
