Nonlinear analysis of structural frame systems by the state-space approach

Computer-Aided Civil and Infrastructure Engineering

Volumn 15, Issue 2, 2000, Pages 76-89

  Simeonov, Vassil K ^a   Sivaselvan, Mettupalayam V ^a   Reinhorn, Andrei M ^a  

^a UNIVERSITY AT BUFFALO   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DEGREES OF FREEDOM (MECHANICS); EQUATIONS OF MOTION; STATE SPACE METHODS; STRUCTURAL ANALYSIS;

DYNAMIC EQUILIBRIUM;

STRUCTURAL FRAMES;

EID: 0033874986     PISSN: 10939687     EISSN: None     Source Type: Journal    
DOI: 10.1111/0885-9507.00174     Document Type: Article

References (31)

1. ANSYS User's Manual, Version 5.0, Swanson Analysis Systems, Houston, Texas, 1992.
2. Barroso, L. R., Breneman, S. E. " Smith, H. A., Evaluating the effectiveness of structural control within the context of performance-based engineering, in Proceedings of the 6th U.S. National Conference on Earthquake Engineering, Seattle, 1998.
3. Bathe, K., Finite Element Procedures, Prentice Hall, Englewood Cliffs, NJ, 1996.
4. Bauchau, O. A., Damilano, G. " Theron, N. J., Numerical integration of non-linear elastic multi-body systems, International Journal of Numerical Methods in Engineering, 38 (16) (1995), 2727-51.
5. Bouc, R., Forced vibration of mechanical systems with hysteresis, in Proceedings of the Fourth Conference on Nonlinear Oscillation, Prague, Czechoslovakia, 1967.
6. Brenan, K. E., Campbell, S. L. " Petzold, L. R., Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, SIAM, Philadelphia, 1989.
7. Brown, P. B., Hindmarsh, A. C. " Petzold, L. R., Using Krylov methods in the solution of large-scale differential-algebraic systems, SIAM J. Sci. Comput., 15 (6) (1994), 1467-88.
8. Casciati, F. " Faravelli, L., Stochastic equivalent linearization for 3-D frames, J. Engrg. Mech., ASCE, 114 (10) (1998), 1760-71.
9. Constantinou, M. C. " Adane, M. A., Dynamics of soil-base-isolated-structure systems, NSF report, 1987.
10. Fritzen, P. " Wittekindt, J., Numerical solution of viscoplastic constitutive equations with internal state variables: I. Algorithms and implementation, Mathematical Methods in Applied Sciences, 30 (1997), 1411-25.
11. Hairer, E. " Wanner, G., Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, Springer-Verlag, New York, 1991.
12. Hairer, E. " Wanner, G., Solving Ordinary Differential Equations II: Stiff and Differential-Algebraic Problems, Springer-Verlag, New York, 1991.
13. Haug, E. J., Negrut, D. " Iancu, M., A state-space-based implicit integration algorithm for differential-algebraic equations of multi-body dynamics, Mechanics of Structures and Machines, 25 (3) (1997), 311-34.
14. Haug, E. J., Negrut, D. " Iancu, M., A state-space-based implicit integration algorithm for differential-algebraic equations of multi-body dynamics, Mechanics of Structures and Machines, 25 (3) (1997), 311-34.
15. Inaudi, J. A. " De La Llera, J. C., Dynamic analysis of nonlinear structures using state-space formulation and partitioned integration schemes, report no. UCB/EERC-92/18, EERC, University of California at Berkeley, 1992.
16. Iura, M. " Atluri, S. N., Dynamics analysis of planar flexible beams with finite rotations by using inertial and rotation frames, Computers and Structures, 55 (3) (1995), 453-62.
17. Nagarajaiah, S., Reinhorn, A. M. " Constantinou, M. C., Nonlinear dynamic analysis of three-dimensional base isolated structures (3D-BASIS), technical report NCEER-89-0019, NCEER, SUNY at Buffalo, NY, 1989.
18. Neuenhofer, A. " Filippou, F. C., Evaluation of nonlinear frame finite-element models, Journal of Structural Engineering, ASCE, 123 (7) (1997), 958-66.
19. Ozdemir, H., Nonlinear transient dynamic analysis of yielding structures, Ph.D. thesis, University of California, Berkeley, 1976.
20. Papadopoulos, P. " Lu, J., A general framework for the numerical solution of problems in finite elasto-plasticity, Computational Methods in Applied Mechanics and Engineering, 159 (1) (1998), 1-18.
21. Papadopoulos, P. " Taylor, R. L., On the application of multi-step integration methods to infinitesimal elastoplasticity, International Journal of Numerical Methods in Engineering, 37 (1994), 3169-84.
22. Ramberg, W. " Osgood, W. R., Description of stress-strain curves by three parameters, technical note 902, National Advisory Committee on Aeronautics, 1943; Rheinboldt, W. C. " Wenner, M. L., A DEM displacement-plastic strain formulation of punch stretching, Computers and Structures, 40 (4) (1991), 877-83.
23. Ramberg, W. " Osgood, W. R., Description of stress-strain curves by three parameters, technical note 902, National Advisory Committee on Aeronautics, 1943; Rheinboldt, W. C. " Wenner, M. L., A DEM displacement-plastic strain formulation of punch stretching, Computers and Structures, 40 (4) (1991), 877-83.
24. Richard, R. M. " Blalock, J. R., Finite element analysis of inelastic structures, AIAA J., 7 (1969), 432-8.
25. Shi, P. " Babuska, I., Analysis and computation of a cyclic plasticity model by the aid of DDASSL, Computational Mechanics, 19 (4) (1997), 380-5.
26. Simeonov, V. K., Three-dimensional inelastic dynamic structural analysis of frame systems, Ph.D. dissertation, University at Buffalo (SUNY), NY, 1999.
27. Sivaselvan, M. V. " Reinhorn, A. M., Hysteretic models for cyclic behavior of deteriorating inelastic structures, MCEER technical report, MCEER-99-0018, University at Buffalo (SUNY), NY, 1999.
28. Soong, T. T., Active Structural Control: Theory and Practice, Longman and Wiley, London, 1990.
29. Spacone, E., Ciampi, V. " Dilippou, F., A beam element for seismic damage analysis, report no. UCB/EERC-92/07, EERC, University of California at Berkeley, 1992.
30. Valanis, K. C., A theory of viscoplasticity without a yield surface, Archives of Mechanics, 23 (4) (1992), 517-33.
31. Wen, Y. K., Method for random vibrations of hysteretic systems, J. Engrg. Mech., ASCE, 102 (EM2), (1976), 249-63.