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An Improved Structure-Dependent Explicit Method for Structural Dynamics

[+] Author Affiliations
Shuenn-Yih Chang

National Taipei University of Technology, Taipei, Taiwan, R.O.C.

Chiu-Li Huang

Fu Jen Catholic University, Taipei, Taiwan, R.O.C.

Paper No. PVP2008-61014, pp. 91-96; 6 pages
doi:10.1115/PVP2008-61014
From:
  • ASME 2008 Pressure Vessels and Piping Conference
  • Volume 8: Seismic Engineering
  • Chicago, Illinois, USA, July 27–31, 2008
  • Conference Sponsors: Pressure Vessels and Piping
  • ISBN: 978-0-7918-4831-9 | eISBN: 0-7918-3828-5
  • Copyright © 2008 by ASME

abstract

An explicit method is presented herein whose coefficients are determined from the initial structural properties of the analyzed system. Thus, it is structure-dependent. This method has a great stability property when compared to the previously published method [6], which is unconditionally stable for linear elastic and any instantaneous stiffness softening systems while it only has conditional stability for an instantaneous stiffness hardening system. The most important improvement of this method is that it has unconditional stability for general instantaneous stiffness hardening systems in addition to linear elastic and instantaneous stiffness softening systems. This implies that a time step may be selected base on accuracy consideration only and the stability problem might be neglected. Hence, many computational efforts can be saved in the step-by-step solution of a general structural dynamic problem, where the response is dominated by the low frequency modes and the high frequency responses are of no great interest, when compared to an explicit method, such as the Newmark explicit method, and an implicit method, such as the constant average acceleration method.

Copyright © 2008 by ASME

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