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

1993/06/01 by J. Chung, Jaeung Chung, G. M. Hulbert +1 · 2,321 citations
Engineering · Mathematics · #Algorithm #Applied mathematics #Computer science #Direct integration of a beam #Dissipation #Dissipative system #Electromagnetic Simulation and Numerical Methods #Engineering #Finite element method #Mathematical analysis #Mathematical optimization #Mathematics #Newmark-beta method #Numerical integration #Numerical methods for differential equations #Physics #Power System Optimization and Stability #Structural engineering

paper · doi:10.1115/1.2900803

published in Journal of Applied Mechanics 60(2), 371-375 (ASM International)

openalex publication_date 1993/06/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/04

Abstract

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.

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