So sánh phương pháp

	Tối ưu hóa cấu trúc liên kết (SIMP)	Phương pháp Bề mặt Đáp ứng với Tối ưu hóa Hàm Mong muốn
Lĩnh vực	Kỹ thuật độ tin cậy	Kỹ thuật độ tin cậy
Họ	Process / pipeline	Process / pipeline
Năm ra đời	1988	1951
Người khởi xướng	Martin Bendsoe and Noboru Kikuchi	George Box and Kenneth Wilson
Loại	Generative design algorithm	Optimization methodology
Công trình gốc	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.
Tên gọi khác	SIMP, Topology design, Generative design, Density-based optimization	RSM, Desirability function, Multi-response optimization
Liên quan	4	4
Tóm tắt	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.