TECHNICAL PAPERS
May 1, 1983

Dynamic Response Analysis of Elevator Model

Publication: Journal of Structural Engineering
Volume 109, Issue 5

Abstract

Time history response of an elevator rail and counterweight model is studied using numerical and experimental methods. Beam finite elements are used to model the rail and the counterweight. When in contact, the rail and the counterweight are assumed to be connected by very stiff springs. Wilson‐θ method is used to perform the forced response computations. The long computing times result from the need for extremely short time steps used to integrate the nonlinear equations. In addition to the development of simple models and the use of Guyan reduction method, two techniques are introduced to reduce computing time. The numerical and experimental results compare both favorably and qualitatively.

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References

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Archer, J. S., “Consistant Mass Matrix for Distributed Mass Systems,” Journal of the Structural Division, ASCE, Vol. 89, No. ST4, Aug., 1963, pp. 161–178.
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Ayres, J. M., Sun, T. Y., and Brown, F. R., “Nonstructural Damage to Buildings,” The Great Alaska Earthquake of 1964: Engineering, the Committee on the Alaska Earthquake, Division of Earth Sciences, National Research Council, National Academy of Sciences, Washington, D.C.
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Ayres, J. M., and Sun, T. Y., “Nonstructural Damage,” San Fernando, California, Earthquake of February 9, 1971, Part B, U.S. Department of Commerce, National Oceanic and Atmospheric Administration, Washington, D.C., Vol. 1, 1973, pp. 735–776.
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Bathe, K.‐J., and Wilson, E. L., Numerical Methods in Finite Element Analysis, Prentice‐Hall, Inc., Englewood Cliffs, N.J., 1976, pp. 349–350, 339–341.
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Guyan, R. J., “Reduction of Stiffness and Mass Matrices,” American Institute of Aeronautics and Astronautics Journal, Vol. 3, No. 2, Feb., 1965, p. 380.
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Shiau, L. C., and Yang, T. Y., “Elastic Plastic Seismic Response of Chimney,” Journal of the Structural Division, ASCE, Vol. 106, No. ST4, Proc. Paper 15325, Apr., 1980, pp. 791–807.
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Wilson, E. L., Farhoomand, I., and Bathe, K.‐J., “Nonlinear Dynamic Analysis of Complex Structures,” International Journal of Earthquake Engineering and Structural Dynamics, Vol. 1, 1973, pp. 241–252.
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Yang, T. Y., and KuUegowda, H., “Finite Element Dynamic Response Studies of an Elevator Model,” School of Aeronautics and Astronautics and Center for Earthquake Engineering and Ground Motion Studies, Purdue Univ., West Lafayette, Ind., Nov., 1980.

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Go to Journal of Structural Engineering
Journal of Structural Engineering
Volume 109Issue 5May 1983
Pages: 1194 - 1210

History

Published online: May 1, 1983
Published in print: May 1983

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Authors

Affiliations

T. Y. Yang, M. ASCE
Prof. and School Head, School of Aeronautics and Astronautics, Purdue Univ., West Lafayette, Ind.
H. Kullegowda
Research Asst., School of Aeronautics and Astronautics, Purdue Univ., West Lafayette, Ind.
Rakesh K. Kapania
Research Asst., School of Aeronautics and Astronautics, Purdue Univ., West Lafayette, Ind.
Anshel J. Schiff
Dir. of the Center of Earthquake Engrg. and Ground Motion Studies, and Prof. of Mech. Engrg., Purdue Univ., West Lafayette, Ind.

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