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.
A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method
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Chung, J., and Hulbert, G. M. (June 1, 1993). "A Time Integration Algorithm for Structural Dynamics With Improved Numerical Dissipation: The Generalized-α Method." ASME. J. Appl. Mech. June 1993; 60(2): 371–375. https://doi.org/10.1115/1.2900803
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