Abstract
In this paper, a mixed approach for probabilistic structural durability design of mechanical systems is proposed. In this approach, a deterministic design optimization that considers structural crack initiation and crack propagation lives at critical points of the structural component as design constraints is performed first. After an optimal design is obtained, a reliability analysis is performed to ascertain if the deterministic optimal design is reliable. If the probability of the failure of the deterministic optimal design is found to be acceptable, a reliability-based design approach that employs a set of interactive design steps, such as trade-off analysis and what-if study, is used to obtain a near-optimal design that is reliable with an affordable computational cost. A 3-D tracked vehicle roadarm is employed to demonstrate the feasibility of the proposed approach.
Similar content being viewed by others
References
AEA Industrial Technology 1993:Harwell subroutine library release 11. Oxfordshire: Harwell Library
ANSYS 1992:ANSYS user's manuals 5.0, Vols. I to IV. Houston, TX: Swanston Analysis Systems, Inc.
Arora, J.S. 1989:Introduction to optimal design. McGraw Hill
CADSI Inc. 1994:DADS user's manual, Rev. 7.5. Oakdale, IA
Bjerager, P.; Krenk, S. 1989: Parametric sensitivity in first order reliability theory.J. Eng. Mech. 115, 1577–1582
Chang, K.H.; Choi, K.K.; Tsai, C.S.; Chen, C.J.; Choi, B.S.; Yu, X. 1995: Design sensitivity analysis and optimization tool (DSO) for shape design applications.Computing Systems in Eng. 6, 151–175
Chang, K.H.; Yu, X.; Choi, K.K. 1996a: Probabilistic structural durability prediction. Presented at 6-th AIAA/USAF/NASA/ISSMO Symp. on Multidisciplinary Analysis and Optimization (held in Bellevue, WA)
Chang, K.H.; Yu, X.; Choi, K.K. 1996b: Design sensitivity analysis and optimization (DSO) — Structural reliability analysis. In: Olhoff, N.; Rozvany, G.I.I.N. (eds.)WCSMO — 1. First World Congress on Structural and Multidisciplinary Optimization (held in Goslar, Germany, May 28 to June 2, 1995), pp. 889–894. Oxford: Pergamon
Chang, K.H.; Yu, X.; Choi, K.K. 1997: Shape design sensitivity analysis and optimization for structural durability.Int. J. Num. Meth. Eng. (to appear)
Choi, K.K.; Chang, K.H. 1994: A study on velocity field computation for shape design optimizationn.J. Finite Elements in Analysis and Design 15, 317–341
Choi, K.K.; Haug, E.J. 1983: Shape design sensitivity analysis of elastic solids.J. Struct. Mech. 11, 231–269
Choi, K.K.; Santos, J.L.T.; Frederick, M.C. 1987: Implementation of design sensitivity analysis with existing finite element codes.ASME J. Mech. Trans. Auto. Des. 109, 385–391
Choi, K.K.; Wu, J.K.; Chang, K.H.; Tang, J.; Wang, J.; Haug, E.J. 1995: Large scale tracked vehicle concurrent engineering environment. In: Herskovits, J. (ed.)Advances in structural optimization, pp. 447–482. Dordrecht: Kluwer
DRAW 1994:Durability and reliability analysis workspace. Center for Computer-Aided Design, The University of Iowa
Enevoldsen, I.; Sorensen, J.D.; Sigurdsson, G. 1990: Reliability-based shape optimization using stochastic finite element method. In: Der Kiurehian, A.; Thoft-Christensen, P. (eds.)Reliability and optimization of structural systems 90. Berlin, Heidelberg, New York: Springer
Francavilla, A.; Ramakrishan, C.V.; Zienkiewicz, O.C. 1975: Optimization on shape to minimize stress concentration.J. Stress Analysis 10, 63–70
Hasofer, A.M.; Lind, N.C. 1974: Exact and invariant second-moment code format.J. Eng. Mech. ASCE 100, 111–121
Haug, E.J. 1989:Computer-aided kinematics and dynamics of mechanical systems. Volume I: basic methods. Boston: Allyn and Bacon
Haug, E.J.; Choi, K.K.; Komkov, V. 1986:Design sensitivity analysis of structural systems. New York: Academic Press
Karamchandani, A.K.; Cornell, C.A. 1992: Sensitivity estimation within first and second order reliability methods.Struct. Safety 11, 95–107
Madsen, O.H.; Krenk, S.; Lind, N.C. 1986:Methods of structural safety. Englewood Cliffs, N.J.: Prentice Hall
NASA/FLAGRO 2.0 1994:Fatigue crack growth computer program NASA/FLAGRO. Houston, TX: Lyndon B. Johnson Space Center, NASA
Rosenblatt, M. 1952: Remarks on a multivariate transformation.Ann. Math. Statistics 23, 470–472
Santos, J.L.T.; Siemaszko, A.; Gollwitzer, S.; Rackwitz, R. 1995: Continuum sensitivity method for reliability-based structural design and optimization.Mech. Struct. Mach. 23, 497–520
Sepulveda, A.E.; Epstein, L.D. 1993: Approximation concepts for structural synthesis with uncertain parameters. In: Herskovits, J. (ed.)Structural optimization '93. Rio de Janeiro: COPPE
Thanedar, P.B.; Kodiyalam, S. 1992: Structural optimization using probabilistic constraints.Struct. Optim. 4, 236–240
Thoft-Christensen, P. 1990: On reliability-based optimal design of structures. In: Der Kiurehian, A.; Thoft-Christensen, P. (eds.)Reliability and optimization of structural systems 90. Berlin, Heidelberg, New York: Springer
Trong, T.Y.; Yang, R.J. 1993: An advanced reliability-based optimization method for robust structural system design. 34-th AIAA/ASME/AHS SDM Conf. AIAA-93-1443-CP
Vanderplaats, G.N.; Hansen, S.R. 1992:DOT user's manual. Goleta, CA: VMA Engineering
Wang, L.; Grandhi, R.V.; Hopkins, D.A. 1995: Structural reliability optimization using an efficient safety index calculation procedure.Int. J. Num. Meth. Eng. 38, 1721–1738
Yu, X.; Choi, K.K.; Chang, K.H. 1997: Reliability and durability based design sensitivity analysis and optimization.Technical Report R207, Center for Computer-Aided Design, The University of Iowa
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Yu, X., Choi, K.K. & Chang, K.H. A mixed design approach for probabilistic structural durability. Structural Optimization 14, 81–90 (1997). https://doi.org/10.1007/BF01812509
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01812509