Stochastic perturbation finite elements

Computers and Structures

Volumn 59, Issue 3, 1996, Pages 425-429

  Zhang, Yimin ^a   Chen, Suhuan ^a   Liu, Qiaoling ^a   Liu, Tieqiang ^b  

^a JILIN UNIVERSITY   (China)

^b Changchun Automobile Inst   (China)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIATION (CALCULUS); DYNAMIC RESPONSE; FINITE ELEMENT METHOD; MATRIX ALGEBRA; PERTURBATION TECHNIQUES; RANDOM PROCESSES; RELIABILITY; STIFFNESS MATRIX; VECTORS;

KRONECKER ALGEBRA; MATRIX CALCULUS; STOCHASTIC PERTURBATION METHOD; TWO DIMENSIONAL;

STRUCTURAL ANALYSIS;

EID: 0030567491     PISSN: 00457949     EISSN: None     Source Type: Journal    
DOI: 10.1016/0045-7949(95)00267-7     Document Type: Article

References (16)

1. K. Handa and K. Anderson, Application of finite element methods in the statistical analysis of structures. In: Proc. 3rd Int. Conf. on Structural Safety and Reliability, p. 409, Trondheim, Norway (1981).
2. H. Contreras, The stochastic finite-element method. Comput. Struct. 12, 341-348 (1980).
3. W. K. Liu, T. Belytschko and A. Mani, Random field finite elements. Int. J. numer. Meth. Engng 23, 1831-1845 (1986).
4. W. K. Liu, T. Belytschko and A. Mani, Probabilistic finite elements for nonlinear structural dynamics. Comput. Meth. appl. Mech. Engng 56, 61-81 (1986).
5. W. K. Liu, T. Belytschko and A. Mani, Applications of probabilistic finite element methods in elastic/plastic dynamics. J. Engng Ind. ASME 109, 2-8 (1987).
6. W. K. Liu, A. Mani and T. Belytschko, Finite element methods in probabilistic mechanics. Prob. Engng Mech. 2, 201-213 (1987).
7. W. K. Liu, G. Besterfield and T. Belytschko, Transient probabilistic systems. Comput. Meth. appl. Mech. Engng 67, 27-54 (1988).
8. W. K. Liu, G. Besterfield and T. Belytschko, Variational approach to probabilistic finite elements. J. Engng Mech. Div. ASCE 114, 2115-2133 (1988).
9. A. Der Kiureghian and J.-B. Ke, The stochastic finite element method in structural reliability. Prob. Engng Mech. 3, 83-91 (1988).
10. P. C. Chen and W. W. Soroka, Impulse response of a dynamic system with statistical properties. J. Sound Vibr. 31, 309-314 (1973).
11. R. Vaicaitis, Free vibrations of beams with random characteristics. J. Sound Vibr. 35, 13-21 (1974).
12. E. Vanmarcko, M. Shinozuka, S. Nakagiri, G. Schueller and M. Grigoriu, Random fields and stochastic finite element methods. Struct. Safety 3, 143-166 (1986).
13. H. Benaroya and M. Rebak, Finite element methods in probabilistic structural analysis: a selective review. Appl. Mech. Rev. 41, 201-213 (1988).
14. W. J. Vetter, Matrix calculus operations and Taylor expansions. SIAM Rev. 15, 352-369 (1973).
15. F. Ma, Extension of second moment analysis to vector-valued and matrix-valued functions. Int. J. Non-lin. Mech. 22, 251-260 (1987).
16. M. Rosenblatt, Remarks on a multivariate transformation. Annals Math. Stat. 23, 470-472 (1952).