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A virtual parameter to improve stability properties for an integration method

  • Chang, Shuenn-Yih (Department of Civil Engineering National Taipei University of Technology)
  • Received : 2014.09.26
  • Accepted : 2016.07.29
  • Published : 2016.08.25
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Abstract

A virtual parameter is introduced into the formulation of the previously published integration method to improve its stability properties. It seems that the numerical properties of this integration method are almost unaffected by this parameter except for the stability property. As a result, it can have second order accuracy, explicit formulation and controllable numerical dissipation in addition to the enhanced stability property. In fact, it can have unconditional stability for the system with the instantaneous degree of nonlinearity less than or equal to the specified value of the virtual parameter for the modes of interest for each time step.

Keywords

Acknowledgement

Supported by : National Science Council

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