A New Explicit Time Integration Scheme for Nonlinear Dynamic Analysis

作者：Rezaiee Pajand Mohammad^*; Karimi Rad Mahdi

来源：International Journal of Structural Stability and Dynamics, 2016, 16(9): 1550054.

DOI：10.1142/S0219455415500546

• Explicit method
• numerical dispersion
• numerical dissipation
• stability
• second-order accuracy
• time integration method

An explicit time integration method is presented for the linear and nonlinear dynamic analyses of structures. Using two parameters and employing the Taylor series expansion, a family of second-order accurate methods for the solution of dynamic problems is derived. The proposed scheme includes the central difference method as a special case, while damping is shown to exert no effect on the solution accuracy. The proposed method is featured by the following facts: (i) the relative period error is almost zero for specific values of the parameters; (ii) the numerical dissipation contained can help filter out spurious high-frequency components; and (iii) the crucial lower modes are generally unaffected in the integration. Although the proposed method is conditionally stable, it has an appropriate region of stability, and is self-starting. The numerical tests indicate the improved performance of the proposed technique over the central difference method.

• 出版日期2016-11