关键词: 结构动力学, 计算结构力学, 数值积分, 显式法

Abstract: Based on the Newmark's implicit integration algorithm which is well known and widely used in the domain of structural dynamic analyses,an explicit scheme, called the Newmark's Explicit Scheme, is constructed in this paper. Unlike existing explicit algorithms, the integration process of this scheme is extremely simple. No matter what form the damping matrix is, this scheme no longer need to solve high order algebraic linear equations in each integration step as long as the mass matrix is diagonal. Therefore, it is very convenient for this explicit method to analyse large nonlinear dynamic systems discretized by finite element methods. The computer-time efficiency will be much more enhanced.In this paper, the numerical stability and accuracy of the new scheme is discussed. Some linear and nonlinear numerical examples are used to compare this scheme with currently popular methods. Two problems of railway engineering are analysed at the end of the paper.

Key words: structural dynamics, computational structural mechanics, numerical integration, explicit scheme