A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method

[+] Author and Article Information
J. Chung, G. M. Hulbert

Department of Mechanical Engineering, and Applied Mechanics, The University of Michigan, Ann Arbor, MI 48109-2125

J. Appl. Mech 60(2), 371-375 (Jun 01, 1993) (5 pages) doi:10.1115/1.2900803 History: Received December 02, 1991; Revised August 17, 1992; Online March 31, 2008


A new family of time integration algorithms is presented for solving structural dynamics problems. The new method, denoted as the generalized-α method, possesses numerical dissipation that can be controlled by the user. In particular, it is shown that the generalized-α method achieves high-frequency dissipation while minimizing unwanted low-frequency dissipation. Comparisons are given of the generalized-α method with other numerically dissipative time integration methods; these results highlight the improved performance of the new algorithm. The new algorithm can be easily implemented into programs that already include the Newmark and Hilber-Hughes-Taylor-α time integration methods.

Copyright © 1993 by The American Society of Mechanical Engineers
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