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Although there is a need for sensitivity analysis for frictional contact problems in many engineering fields, research work on it has rarely been reported due to the complexity of the problems. In this paper, a sensitivity analysis procedure based on a semi-analytical method for frictional contact problems is presented. The unbalance force due to the variation of design parameters is evaluated numerically, thus the related routine of an existing FEM code can be utilized regardless of the friction law employed. The continuum-mechanics-based formulation is carried out first and then a discretized form is derived. The stick state is modeled by introducing a penalty-type constraint. A couple of numerical examples, including a realistic leaf spring structure used in nuclear power plants, are given to demonstrate the effectiveness of the proposed approach.
Rocznik
Tom
Strony
69--80
Opis fizyczny
Bibliogr. 15 poz., rys., wykr.
Twórcy
autor
- University of Tokyo, 7-3-1-Hongo, Bunkyo-Ku, Tokyo, 113-0033, Japan
autor
- University of Tokyo, 7-3-1-Hongo, Bunkyo-Ku, Tokyo, 113-0033, Japan
autor
- Mitsubishi Heavy Industries, Japan
autor
- Mitsubishi Heavy Industries, Japan
Bibliografia
- [1] H.J. Antfinez, M. Kleiber. Parameter sensitivity of metal forming processes. Computer Assisted Mechanics and Engineering Sciences, 3: 263-282, 1996.
- [2] H.J. Antimez, M. Kleiber. Sensitivity analysis of metal forming processes involving frictional contact in steady state. J. Materials Processing Technology, 60: 485-491, 1996.
- [3] K.-J. Bathe. Finite Element Procedures. Prentice Hall, 1996.
- [4] X. Chen. Nonlinear finite element sensitivity analysis for large deformation elastoplastic and contact problems. Ph.D. dissertation. The University of Tokyo, Japan, 1994.
- [5] X. Chen, M. Mori, T. Hisada. A sensitivity analysis for frictionless contact problems. Computer Assisted Mechanics and Engineering Sciences, 3: 403-423, 1996.
- [6] X. Chen, K. Nakamura, M. Mori, T. Hisada. Finite element analysis for multi-leaf structures with frictional contact and large deformation. Computer Assisted Mechanics and Engineering Sciences, 7: 53-67, 2000.
- [7] R.T. Haftka, H.M. Adelman. Recent developments in structural sensitivity analysis. Struct. Optirn.,1: 137-151, 1989.
- [8] T. Hisada, H. Noguchi. Foundation and Application of Nonlinear Finite Element Method (in Japanese). Maruzen, Tokyo, 1995.
- [9] M. Kleiber. Shape and non-shape structural sensitivity analysis for problems with any material and kinematic non-linearity. Comp. Meths. Appl. Mech. Engng., 108: 73-97, 1993.
- [10] M. Kleiber, W. Sosnowski. Parameter sensitivity analysis in frictional contact problems of sheet metal forming. Computational Mechanics, 16: 297-306, 1995.
- [11] C.D. Pollock, A.K. Noor. Sensitivity analysis of the contact/impact response of composite structures. Comput. Struct., 61: 251-269, 1996.
- [12] J.J. Tsay, J.S. Arora. Nonlinear structural design sensitivity for path dependent problems. Part 1: General theory. Comp. Meths. Appl. Mech. Engng., 81: 183-208, 1990.
- [13] C.A. Vidal, R.B. Haber. Design sensitivity analysis for rate-independent elastoplasticity. Comp. Meths. Appl. Mech. Engng., 107: 393-431, 1993.
- [14] Z.-H. Zhong. Finite Element Procedures for Contact-Impact Problems. Oxford University Press, New York, 1993.
- [15] Z.-H. Zhong, J. Mackerle. Static contact problems - a review. Engineering Computations, 9: 3-37, 1992.
Typ dokumentu
Bibliografia
Identyfikator YADDA
bwmeta1.element.baztech-article-BPB1-0003-0084