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Concept of Response Surface method

Concept of Response Surface method. RS Model. DOE & Experiments. 1. 0. x2. -1 0 1. -1. x1.

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Concept of Response Surface method

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  1. Concept of Response Surface method RS Model DOE & Experiments 1 0 x2 -1 0 1 -1 x1      When the responses of a certain system are required, we can estimate them from several times of experiments or analyses.  This DOE(Design of Experiments) offers a systematic approach to study the relationship between the system variables and its responses.   Response Surface obtained from these implementations can give the higher quality approximation of design space resulting with fewer analyses for optimization. Original System Applications

  2. Efficient Response Surface Modeling using MLSM and Sensitivity Original System Classical RSM Proposed RSM Calculation Point Calculation Point Reduce Approximation Errors  Local & Global Approximation (MLSM) Response Response Input Input TF2 This paper mainly discussed how to construct RSM efficiently and accurately using sensitivity when the exact sensitivities were available. From the examples, the proposed methods gave not only accurate but also efficient RS Models.

  3. Reliability-based Design Optimization Deterministic Optimization Minimize y(x) subject to g(x)  0 side limits xl  xi xu RBDO  Probabilistic Constraints

  4. Reliability-based Topology Optimization : Examples Structural System Minimizing volume With displacement constraint Reliability-Based Topology Opt. Deterministic Topology Opt. Uncertainties (10%) Young’s modulus Thickness Loading 50% success 99.87 %success (3-sigma) Electromagnetic System Minimizing volume With magnetic energy constraint Deterministic Topology Opt. Reliability-Based Topology Opt. Uncertainty Permeability Current Density 99.87 %success (3-sigma) 50% success

  5. ANSTOP : Structure • Software Components • ANSTOP : Postprocessor • ANSTOPPre : Preprocessor • ANSTOPcmd : Optimization main module • DLLs ANSTOP ANSTOPcmd ANSTOPPre C++/FORTRAN DLLs • Characteristics • Graphical Interface • MS Windows 98/2000/XP • Network execution of ANSYS • Post-processing • Applications • Structural • - Compliance - Static • - Eigenvalue - Vibration • Electromagnetic • - Energy - Force • - Torque

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