A novel explicit time integration method is proposed on the basis of cubic b‐spline interpolation and weighted residual method. Its calculation formulation and procedure are presented. Accuracy, algorithmic damping, and period elongation are theoretically and numerically solved. The influence of two algorithmic parameters on basic properties of the proposed method is studied to obtain optimal parameters values for dynamic problems. Various linear and nonlinear dynamic problems are tested to demonstrate high efficiency of the proposed method.

中文翻译：

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基于三次b样条插值和加权残差技术的结构动力学高阶精确显式时间积分方法

在三次b样条插值和加权残差法的基础上，提出了一种新颖的显式时间积分方法。介绍了其计算公式和步骤。理论上和数值上都解决了精度，算法阻尼和周期延长问题。研究了两个算法参数对所提方法基本特性的影响，以获得动态问题的最优参数值。测试了各种线性和非线性动力学问题，以证明该方法的高效率。