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http://dx.doi.org/10.12989/sem.2016.60.1.149

Improved formulation for a structure-dependent integration method  

Chang, Shuenn-Yih (Department of Civil Engineering, National Taipei University of Technology)
Wu, Tsui-Huang (Department of Civil Engineering, National Taipei University of Technology)
Tran, Ngoc-Cuong (Department of Civil Engineering, National Taipei University of Technology)
Publication Information
Structural Engineering and Mechanics / v.60, no.1, 2016 , pp. 149-162 More about this Journal
Abstract
Structure-dependent integration methods seem promising for structural dynamics applications since they can integrate unconditional stability and explicit formulation together, which can enable the integration methods to save many computational efforts when compared to an implicit method. A newly developed structure-dependent integration method can inherit such numerical properties. However, an unusual overshooting behavior might be experienced as it is used to compute a forced vibration response. The root cause of this inaccuracy is thoroughly explored herein. In addition, a scheme is proposed to modify this family method to overcome this unusual overshooting behavior. In fact, two improved formulations are proposed by adjusting the difference equations. As a result, it is verified that the two improved formulations of the integration methods can effectively overcome the difficulty arising from the inaccurate integration of the steady-state response of a high frequency mode.
Keywords
overshoot; forced vibration response; local truncation error; high frequency modes; structure-dependent integration method;
Citations & Related Records
Times Cited By KSCI : 5  (Citation Analysis)
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