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روش سطح پاسخ با بهینه‌سازی تابع مطلوبیت×بهینه‌سازی توپولوژی (SIMP)×
حوزهمهندسی قابلیت اطمینانمهندسی قابلیت اطمینان
خانوادهProcess / pipelineProcess / pipeline
سال پیدایش19511988
پدیدآورGeorge Box and Kenneth WilsonMartin Bendsoe and Noboru Kikuchi
نوعOptimization methodologyGenerative design algorithm
منبع بنیادینBox, G. E. P., & Wilson, K. B. (1951). On the experimental attainment of optimum conditions. Journal of the Royal Statistical Society, 13(1), 1-45. DOI ↗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. link ↗
نام‌های دیگرRSM, Desirability function, Multi-response optimizationSIMP, Topology design, Generative design, Density-based optimization
مرتبط44
خلاصهResponse 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.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.
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ScholarGateمقایسهٔ روش‌ها: Response Surface Desirability Function · Topology Optimization. بازیابی‌شده در 2026-06-15 از https://scholargate.app/fa/compare