Buy article PDF
The purchased file will be sent to you
via email after the payment is completed.
US$ 35
|
Structural Engineering and Mechanics Volume 60, Number 1, October10 2016 , pages 149-162 DOI: https://doi.org/10.12989/sem.2016.60.1.149 |
|
|
|
Improved formulation for a structure-dependent integration method |
||
Shuenn-Yih Chang, Tsui-Huang Wu and Ngoc-Cuong Tran
|
||
| 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. | ||
| Key Words | ||
| overshoot; forced vibration response; local truncation error; high frequency modes; structure-dependent integration method | ||
| Address | ||
| Shuenn-Yih Chang, Tsui-Huang Wu and Ngoc-Cuong Tran: Department of Civil Engineering, National Taipei University of Technology, NTUT Box 2653, Taipei 106, Taiwan, Republic of China | ||