An approximate method that uses conventional condensation techniques for linear systems together with the nonparametric identification of the reduced-order model generalized nonlinear restoring forces is presented for reducing the order of discrete multidegree-of-freedom dynamic systems that possess arbitrary nonlinear characteristics. The utility of the proposed method is demonstrated by considering a redundant three-dimensional finite-element model half of whose elements incorporate hysteretic properties. A nonlinear reduced-order model, of one-third the order of the original model, is developed on the basis of wideband stationary random excitation and the validity of the reduced-order model is subsequently demonstrated by its ability to predict with adequate accuracy the transient response of the original nonlinear model under a different nonstationary random excitation.
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June 1984
Research Papers
A Method for Reducing the Order of Nonlinear Dynamic Systems
S. F. Masri,
S. F. Masri
Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242
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R. K. Miller,
R. K. Miller
Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242
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H. Sassi,
H. Sassi
Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242
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T. K. Caughey
T. K. Caughey
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Calif. 91106
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S. F. Masri
Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242
R. K. Miller
Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242
H. Sassi
Department of Civil Engineering, University of Southern California, Los Angeles, Calif. 90089-0242
T. K. Caughey
Division of Engineering and Applied Science, California Institute of Technology, Pasadena, Calif. 91106
J. Appl. Mech. Jun 1984, 51(2): 391-398 (8 pages)
Published Online: June 1, 1984
Article history
Received:
February 1, 1983
Revised:
October 1, 1983
Online:
July 21, 2009
Citation
Masri, S. F., Miller, R. K., Sassi, H., and Caughey, T. K. (June 1, 1984). "A Method for Reducing the Order of Nonlinear Dynamic Systems." ASME. J. Appl. Mech. June 1984; 51(2): 391–398. https://doi.org/10.1115/1.3167630
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