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研究生： Ivan Gautama Andhoko
Ivan - Gautama Andhoko
論文名稱： A Stability Investigation of A Reliability-Based Design Optimization
A Stability Investigation of A Reliability-Based Design Optimization
指導教授： 廖國偉
Guo-Wei Liao
口試委員: 楊亦東
I-tung Yang
鄭敏元
Min-Yuan Cheng
學位類別： 碩士
Master
系所名稱： 工程學院 - 營建工程系
Department of Civil and Construction Engineering
論文出版年： 2012
畢業學年度： 100
語文別： 英文
論文頁數： 75
中文關鍵詞： Reliability 、Optimization 、PDF 、EPM 、PSO
外文關鍵詞： Reliability, Optimization, PDF, EPM, PSO
相關次數： 點閱：195  下載：5 
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  •  上一筆

    • Reliability based design optimization (RBDO) incorporate probabilistic behavior of engineering problem into optimization. This method ensures that the design stays in the feasible region of reliability limit state. However, computational cost of an RBDO analysis can be considered very expensive when compared with deterministic design. In reliability analysis, the limit state are approximated by a polynomial function. The result from the reliability analysis is used further for the optimization.
    Most of previous researches have focused on the accuracy of the reliability analysis, and RBDO results. However, the results usually are sensitive towards initial values of the design variables. For example, the optimizer Sequential Quadratic Programming (SQP), may affect by the initial point. During this research the effect of different initial value were evaluated. The effect of the accuracy and stability of reliability analysis towards sensitivity of SQP were analyzed.
    Then based on the results, a new combination for RBDO method, using Particle Warm Optimization (PSO) algorithm and polynomial function is proposed. The proposed method is verified by a simple cantilever beam problem, a numerical example problem and a three-bar truss problem.

    Reliability based design optimization (RBDO) incorporate probabilistic behavior of engineering problem into optimization. This method ensures that the design stays in the feasible region of reliability limit state. However, computational cost of an RBDO analysis can be considered very expensive when compared with deterministic design. In reliability analysis, the limit state are approximated by a polynomial function. The result from the reliability analysis is used further for the optimization.
    Most of previous researches have focused on the accuracy of the reliability analysis, and RBDO results. However, the results usually are sensitive towards initial values of the design variables. For example, the optimizer Sequential Quadratic Programming (SQP), may affect by the initial point. During this research the effect of different initial value were evaluated. The effect of the accuracy and stability of reliability analysis towards sensitivity of SQP were analyzed.
    Then based on the results, a new combination for RBDO method, using Particle Warm Optimization (PSO) algorithm and polynomial function is proposed. The proposed method is verified by a simple cantilever beam problem, a numerical example problem and a three-bar truss problem.

    TABLE OF CONTENT ABSTRACT i ACKNOWLEDGEMENT ii TABLE OF CONTENT iii LIST OF FIGURES v LIST OF TABLES vi CHAPTER 1: INTRODUCTION 1 1.1 UNCERTAINTIES IN ENGINEERING 1 1.2 DETERMINISTIC DESIGN 2 1.3 RELIABILITY BASED DESIGN 3 1.4 RESEARCH MOTIVATION 3 1.5 RESEARCH OBJECTIVES 4 CHAPTER 2: RBDO 5 2.1 INTRODUCTION 5 2.2 RBDO 5 2.3 INTRODUCTION OF EXISTING RELIABILITY METHODS 6 2.3.1 Cornell Reliability Index 6 2.3.2 First Order Second Moment Method (FOSM) 7 2.3.3 Hasofer and Lind Reliability Index 8 2.3.4 MCS 9 2.3.5 IS 10 2.4 Optimization Method 11 2.3.1 SQP 11 2.3.2 PSO 12 2.5 RBDO FORMULATION 12 2.5.1 Double loop RBDO approaches 14 2.5.1.1 RIA 14 2.5.1.2 PMA 15 2.5.2 Single loop RBDO approaches 16 2.5.1.3 RBDO based on Karush-Kuhn-Tucker optimality conditions (KKT) 16 2.5.1.4 Single Loop Approach (SLA) 17 2.5.3 Decoupled Approaches 17 2.5.1.5 Sequential optimization and reliability assessment (SORA) 18 CHAPTER 3: THE PROPOSED RBDO 19 3.1 RELIABILITY ANALYSES USED IN THE PROPOSED RBDO 19 3.1.1 Formulation of the EPM method 19 3.1.2 Example 20 3.2 ALGORITHM OF PSO METHOD 25 3.3 PROPOSED RBDO METHOD 30 CHAPTER 4: ANALYSIS RESULTS 31 4.1 CANTILEVER BEAM EXAMPLE 31 4.1.1 Stress Limit State 32 4.1.2 Tip Deflection Limit State 42 4.2 SECOND EXAMPLE 50 4.2.1 Reliability Analysis 50 4.2.2 SQP – MCS 54 4.2.3 SQP – EPM 54 4.2.4 PSO – EPM 54 4.2.5 Results Summary 58 4.3 THREE BAR TRUSS EXAMPLE 61 4.3.1 Reliability Analysis 62 4.3.2 SQP – MCS 64 4.3.3 SQP – EPM 64 4.3.4 PSO – EPM 64 4.3.5 Results Summary 64 CHAPTER 5: CONCLUSIONS AND FUTURE WORK 71 5.1 CONCLUSION 71 5.2 RECOMMENDATIONS FOR FUTURE WORKS 72 APPENDIX 75

    ANG, A. H. S. & TANG, W. H. 2007. Probability concepts in engineering: emphasis on applications in civil & environmental engineering, Wiley.
    BA-ABBAD, M. A. 2004. Reliability-based design optimization of a nonlinear elastic plastic thin-walled T-section beam. Ph. D., Virginia Polytechnic Institute and State University
    BENJAMIN, J. R. & CORNELL, C. A. 1970. Probability, statistics, and decision for civil engineers, McGraw-Hill New York, NY.
    CHOI, K. K. & YOUN, B. D. Hybrid analysis method for reliability-based design optimization. 2001. 9-12.
    DU, X. & CHEN, W. 2004. Sequential optimization and reliability assessment method for efficient probabilistic design. TRANSACTIONS-AMERICAN SOCIETY OF MECHANICAL ENGINEERS JOURNAL OF MECHANICAL DESIGN, 225-233.
    ENEVOLDSEN, I. & S RENSEN, J. D. 1994. Reliability-based optimization in structural engineering. Structural Safety, 15, 169-196.
    GUO-KANG, E. 1998. A method for multi-parameter PDF estimation of random variables. Structural Safety, 20, 25-36.
    HALDAR, A. & MAHADEVAN, S. 2000. Probability, reliability, and statistical methods in engineering design, John Wiley & Sons, Inc.
    KUSCHEL, N. & RACKWITZ, R. 1997. Two basic problems in reliability-based structural optimization. Mathematical Methods of Operations Research, 46, 309-333.
    LEE, J.-O., YANG, Y.-S. & RUY, W.-S. 2002. A comparative study on reliability-index and target-performance-based probabilistic structural design optimization. Computers & Structures, 80, 257-269.
    LIANG, J., MOURELATOS, Z. P. & NIKOLAIDIS, E. 2007. A single-loop approach for system reliability-based design optimization. Journal of Mechanical Design, 129, 1215.
    LIAO, K.-W. & HA, C. 2008. Application of reliability-based optimization to earth-moving machine: hydraulic cylinder components design process. Structural and Multidisciplinary Optimization, 36, 523-536.
    LIU, P.-L. & DER KIUREGHIAN, A. 1991. Optimization algorithms for structural reliability. Structural Safety, 9, 161-177.
    LONG, M. & JD, N. 1999. Probabilistic Design Methodology for Composite Aircraft Structures. U.S. Department of Transportation Federal Aviation Administration.
    MORI, Y., KATO, T. & MURAI, K. 2003. Probabilistic models of combinations of stochastic loads for limit state design. Structural Safety, 25, 69-97.
    NIKOLAIDIS, E. & BURDISSO, R. 1988. Reliability based optimization: A safety index approach. Computers & Structures, 28, 781-788.
    PARSOPOULOS, K. E. & VRAHATIS, M. N. 2002. Particle swarm optimization method for constrained optimization problems. Intelligent Technologies–Theory and Application: New Trends in Intelligent Technologies, 76, 214-220.
    QU, X. & HAFTKA, R. T. 2004. Reliability-based design optimization using probabilistic sufficiency factor. Structural and Multidisciplinary Optimization, 27, 314-325.
    RAMU, P. 2007. Multiple tail models including inverse measures for structural design under uncertainties. University of Florida.
    RAMU, P., QU, X., YOUN, B. D. & HAFTKA, R. T. 2006a. Inverse reliability measures and reliability-based design optimisation. International Journal of Reliability and Safety, 1, 187-205.
    RAMU, P., QU, X., YOUN, B. D., HAFTKA, R. T. & CHOI, K. K. 2006b. Safety factor and inverse reliability measures. Int. J. reliability and safety, 1.
    SUNDARARAJAN, C. & WITT, F. 1995. Stress-strength interference method. Probabilistic Structural Mechanics Handbook: Theory and Industrial Applications, 8-26.
    THANEDAR, P. B. & KODIYALAM, S. 1992. Structural optimization using probabilistic constraints. Structural and Multidisciplinary Optimization, 4, 236-240.
    WU, Y., SHIN, Y., SUES, R. & CESARE, M. Safety-factor based approach for probability-based design optimization. 2001.
    YOUN, B. D. & CHOI, K. K. 2004. An Investigation of Nonlinearity of Reliability-Based Design Optimization Approaches. Journal of Mechanical Design, 126, 403-411.

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