A family of higher-order integration methods for structural dynamics
- National Taiwan Univ., Taipei (Taiwan, Province of China). National Center for Research on Earthquake Engineering
A new family of higher-order implicit, one-step integration algorithms has been developed by Chang (1994). These algorithms have minimum order of accuracy two, and maximum order of accuracy four. In general, they have order of accuracy three. All the algorithms are unconditionally stable, do not overshoot in displacements or in velocities and possess desirable numerical dissipation which can be continuously controlled. In particular, these schemes possess better dissipative and dispersive characteristics than the commonly used second-order methods. It has been found that one of these algorithms can provide an appropriate amplitude compensation effect for nonlinear systems. This amplitude compensation effect can effectively suppress the linearization errors which are introduced by the assumption that the structural properties remain constant during each time step. Because of the excellent properties possessed by the algorithm, especially the amplitude compensation effect and no growth of high-frequency response, a time step as large as two orders of magnitude greater than what is needed for the average acceleration method can be used, leading to a very significant saving of computational effort.
- OSTI ID:
- 403246
- Report Number(s):
- CONF-960706-; ISBN 0-7918-1784-9; TRN: IM9651%%281
- Resource Relation:
- Conference: American Society of Mechanical Engineers (ASME) pressure vessels and piping conference, Montreal (Canada), 21-26 Jul 1996; Other Information: PBD: 1996; Related Information: Is Part Of Fluid-structure interaction -- 1996. PVP-Volume 337; Wang, C.Y.; Ma, D.C.; Shin, Y.W.; Kulak, R.F.; Chang, F.C. [eds.] [Argonne National Lab., IL (United States)]; Kaneko, S. [ed.] [Univ. of Tokyo (Japan)]; Brochard, D.; Moody, F.J. [eds.]; PB: 285 p.
- Country of Publication:
- United States
- Language:
- English
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