手法を比較

	トポロジー最適化（SIMP）	Response Surface Desirability Function
分野	信頼性工学	信頼性工学
系統	Process / pipeline	Process / pipeline
提唱年	1988	1951
提唱者	Martin Bendsoe and Noboru Kikuchi	George Box and Kenneth Wilson
種類	Generative design algorithm	Optimization methodology
原典	Bendsoe, M. P., & Kikuchi, N. (1988). Generating optimal topologies in structural design using a homogenization method. Computer Methods in Applied Mechanics and Engineering, 71(2), 197-224.	Box, G. E. P., & Wilson, K. B. (1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society, 13(1), 1-45.
別名	SIMP, Topology design, Generative design, Density-based optimization	RSM, Desirability function, Multi-response optimization
関連	4	4
概要	Topology Optimization is a computational method for distributing material optimally within a design space to maximize structural performance (strength, stiffness) while minimizing weight or cost. The Solid Isotropic Material with Penalization (SIMP) method, developed by Bendsoe and Kikuchi (1988), iteratively refines a material density distribution across the design domain using sensitivity analysis and gradient-based optimization. SIMP has revolutionized structural design in aerospace, automotive, and mechanical engineering by automating the generation of efficient structures.	Response Surface Methodology (RSM) is a set of statistical and mathematical techniques for modeling and optimizing processes with multiple inputs (factors) and outputs (responses). The Desirability Function approach, introduced by Harrington (1965) and refined by Derringer and Suich (1980), extends RSM to solve multi-response optimization problems by combining competing objectives into a single index. This methodology is essential in product and process development where engineers must balance performance, cost, and reliability.