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A family of noniterative integration methods with desired numerical dissipation
Authors:Shuenn‐Yih Chang
Affiliation:Department of Civil Engineering, National Taipei University of Technology, , NTUT Box 2653 Taipei 106, Taiwan
Abstract:
A new family of unconditionally stable integration methods for structural dynamics has been developed, which possesses the favorable numerical dissipation properties that can be continuously controlled. In particular, it can have zero damping. This numerical damping is helpful to suppress or even eliminate the spurious participation of high frequency modes, whereas the low frequency modes are almost unaffected. The most important improvement of this family method is that it involves no nonlinear iterations for each time step, and thus it is very computationally efficient when compared with a general second‐order accurate integration method, such as the constant average acceleration method. Copyright © 2014 John Wiley & Sons, Ltd.
Keywords:unconditional stability  numerical dissipation  nonlinear dynamic analysis  accuracy  structure‐dependent integration method
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