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Earthquakes and Structures
  Volume 14, Number 1, February 2018, pages 045-53
DOI: http://dx.doi.org/10.12989/eas.2018.14.1.045
 


A remedy for a family of dissipative, non-iterative structure-dependent integration methods
Shuenn-Yih Chang and Tsui-Huang Wu

 
Abstract
    A family of the structure-dependent methods seems very promising for time integration since it can simultaneously have desired numerical properties, such as unconditional stability, second-order accuracy, explicit formulation and numerical dissipation. However, an unusual overshoot, which is essentially different from that found by Goudreau and Taylor in the transient response, has been experienced in the steady-state response of a high frequency mode. The root cause of this unusual overshoot is analytically explored and then a remedy is successfully developed to eliminate it. As a result, an improved formulation of this family method can be achieved.
 
Key Words
    overshooting, steady-state response, local truncation error, structure-dependent integration method
 
Address
Shuenn-Yih Chang and Tsui-Huang Wu: Department of Civil Engineering, National Taipei University of Technology, 1, Sec. 3, Jungshiau East Road, Taipei 106-08, Taiwan
 

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