A direct time integration scheme based on Gauss-Legendre quadrature is proposed to solve problems in linear structural dynamics.The proposed method is a oneparameter non-dissipative scheme.Improved stability,accuracy,...A direct time integration scheme based on Gauss-Legendre quadrature is proposed to solve problems in linear structural dynamics.The proposed method is a oneparameter non-dissipative scheme.Improved stability,accuracy,and dispersion characteristics are achieved using appropriate values of the parameter.The proposed scheme has second-order accuracy with and without physical damping.Moreover,its stability,accuracy,and dispersion are analyzed.In addition,its performance is demonstrated by the two-dimensional scalar wave problem,the single-degree-of-freedom problem,two degrees-of-freedom spring system,and beam with boundary constraints.The wave propagation problem is solved in the high frequency wave regime to demonstrate the advantage of the proposed scheme.When the proposed scheme is applied to solve the wave problem,more accurate solutions than those of other methods are obtained by using the appropriate value of the parameter.For the single-degree-offreedom system,two degrees-of-freedom system,and the time responses of beam,the proposed scheme can be used effectively owing to its high accuracy and lower computational cost.展开更多
基于EBE(Element by Element)策略的并行算法不用形成总体刚度矩阵,而且无需进行三维模型的区域分解,从而提高并行计算的速度和效率,是实现结构动力响应快速分析的有效途径。采用Newmark法,结合EBE并行算法和Jacobi预处理技术实现结构...基于EBE(Element by Element)策略的并行算法不用形成总体刚度矩阵,而且无需进行三维模型的区域分解,从而提高并行计算的速度和效率,是实现结构动力响应快速分析的有效途径。采用Newmark法,结合EBE并行算法和Jacobi预处理技术实现结构动力方程的并行计算。在此基础上,利用虚拟激励方法实现结构随机振动的并行计算。最后在网络集群环境下,综合运用多种编程语言和分析工具,应用该并行算法对三维零件的冲击响应以及随机振动进行仿真计算,并与Ansys、精细时程积分法的相比较。结果表明,该并行算法的计算误差小,并行效率较高,适用于工程计算。展开更多
文摘A direct time integration scheme based on Gauss-Legendre quadrature is proposed to solve problems in linear structural dynamics.The proposed method is a oneparameter non-dissipative scheme.Improved stability,accuracy,and dispersion characteristics are achieved using appropriate values of the parameter.The proposed scheme has second-order accuracy with and without physical damping.Moreover,its stability,accuracy,and dispersion are analyzed.In addition,its performance is demonstrated by the two-dimensional scalar wave problem,the single-degree-of-freedom problem,two degrees-of-freedom spring system,and beam with boundary constraints.The wave propagation problem is solved in the high frequency wave regime to demonstrate the advantage of the proposed scheme.When the proposed scheme is applied to solve the wave problem,more accurate solutions than those of other methods are obtained by using the appropriate value of the parameter.For the single-degree-offreedom system,two degrees-of-freedom system,and the time responses of beam,the proposed scheme can be used effectively owing to its high accuracy and lower computational cost.
文摘基于EBE(Element by Element)策略的并行算法不用形成总体刚度矩阵,而且无需进行三维模型的区域分解,从而提高并行计算的速度和效率,是实现结构动力响应快速分析的有效途径。采用Newmark法,结合EBE并行算法和Jacobi预处理技术实现结构动力方程的并行计算。在此基础上,利用虚拟激励方法实现结构随机振动的并行计算。最后在网络集群环境下,综合运用多种编程语言和分析工具,应用该并行算法对三维零件的冲击响应以及随机振动进行仿真计算,并与Ansys、精细时程积分法的相比较。结果表明,该并行算法的计算误差小,并行效率较高,适用于工程计算。
