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提出了一组用于求解结构动力响应的基于不协调时间有限元方法的算法公式,该组算法公式对位移、速度采用等阶插值并允许它们在时间离散点上不连续。证明了算法的强稳定特性,并从对该组算法公式的有限差分分析可知它们无条件稳定、有较高精度并且有好的耗散和超调特性,同时给出了与Newmark的梯形法则,HHT-α,Houbolt,Park等方法的比较。最后给出了应用该算法的数值计算
A set of algorithm formulas based on the uncoordinated time finite element method for solving the dynamic response of the structure is proposed. The formula of the algorithm adopts the order interpolation for displacement and velocity and allows them to be discontinuous at discrete time points. The strong stability of the algorithm is proved. From the finite difference analysis of the formula, we can see that they are unconditionally stable, have high precision and have good dissipation and overshoot characteristics. At the same time, they are compared with Newmark’s trapezoidal rule, HHT -α, Houbolt, Park and other methods of comparison. Finally, the numerical calculation using this algorithm is given