Abstract
In this chapter the computational system for the shakedown and limit analysis is presented. It is based upon an iterative min-max procedure proposed by Zwolinski and Bielawski. The system is called CYCLONE. Application to the realistic shakedown analysis problem of pressure valve is shown. Next, simulation methods of the reliability analysis are presented. A computational system is described which is composed of reliability analysis, response surface method, shakedown/limit analysis and FE analysis. It is able to solve the realistic shakedown and limit reliability analysis problems. The method is illustrated by an example of the shakedown and limit reliability analysis of high pressure chamber subjected to variable repeated pressure.
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References
Bielawski, G., Siemaszko A. and Zwolinski, J. (1997). An adaptation and limit analysis method in the design of inelastic structures. Trans. SMiRT, 14, 3, FW/4, 293–300.
Bjerager, P. (1988). Probability integration by directional simulation. J.Eng.Mech., ASCE 114: 1285–1302.
Heitzer, M. and Staat, M. (1999). Structural reliability analysis of elasto-plastic structures. In: Schueller, G.I. and Kafka, P., eds., Safety and Reliability. A.A. Balkema. 513–518.
König, J.A. (1987). Shakedown of elastic plastic structures. PWN-Elsevier: Warsaw-Amsterdam.
König, J.A. and Kleiber, M. (1978). On a new method of shakedown analysis. Bull. Ac. Pol. Sci. Ser. Sci. Techn. 26: 165–171.
Maier, G. (1970). A matrix structural theory of piecewise-linear plasticity with interacting yield planes. Meccanica 5: 55–66.
Maier, G. (1975). Mathematical programming method in analysis of elastic-plastic structures. Arch.Inz.Lad. 31: 387.
Nguyen, D. H. (1983). Aspects of analysis and optimization of structures under proportional and variable loadings. Eng. Opt., 7, 35–57.
Ponter, A.R.S. and Carter, K.F. (1997). Limit state solutions, based upon linear solutions with a spatially varying elastic modulus. Comp. Meth. Appl. Mech. Eng. 140: 237–258
Pycko, S. and Mrôz, Z. (1992). Alternative approach to shakedown as a solution of min-max problem. Acta Mechanica 93: 205–222.
Siemaszko, A. (1988). Stability analysis of shakedown processes of plane skeletal structures. IFTR Reports, 12, 1–176.
Siemaszko, A., Bielawski, G. and Zwolinski, J. (2000). CYCLONE-system for structural adaptation and limit analysis. In Weichert, D. and Maier, G., eds., Inelastic Analysis of Structures under Variable Loads. Dordrecht: Kluwer Academic Publishers. 135–146.
Siemaszko, A. and Knabel, J. (2000). Reliability-based adaptation analysis. Proc. of 33-rd Solid Mechanics Conference, Zakopane, September 5–9.
Staat, M. and Heitzer, M. (1997). Limit and shakedown analysis for plastic safety of complex structures. Transactions of SMiRT, 14, B02 /2.
Stein, E., Zhang, G. and König, J.A. (1992). Shakedown with nonlinear strain-hardening including structural computation using finite element method. Int. J. Plast. 8: 1–31.
Zwolinski, J., Bielawski G. (1987). An optimal selection of residual stress for shakedown and limit load analysis. Proc.Conf. Comp. Meth.Struct. Mech., Jadwisin, 459–462.
Zwolinski, J. (1994). Min-max approach to shakedown and limit load analysis for elastic perfectly plastic and kinematic hardening materials. In Mriz, Z., Weichert, D. and Dorosz, S., eds. Inelastic Behaviour of Structures under Variable Loads. Dordrecht: Kluwer Academic Publishers. 363–380.
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Siemaszko, A. (2002). Computational Methods for Shakedown and Limit Reliability Analysis. In: Weichert, D., Maier, G. (eds) Inelastic Behaviour of Structures under Variable Repeated Loads. International Centre for Mechanical Sciences, vol 432. Springer, Vienna. https://doi.org/10.1007/978-3-7091-2558-8_16
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DOI: https://doi.org/10.1007/978-3-7091-2558-8_16
Publisher Name: Springer, Vienna
Print ISBN: 978-3-211-83687-3
Online ISBN: 978-3-7091-2558-8
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