...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Computer Methods in Applied Mechanics and Engineering >A time integration algorithm for linear transient analysis based on the reproducing kernel method
【24h】

A time integration algorithm for linear transient analysis based on the reproducing kernel method

机译：基于再生核方法的线性瞬态分析时间积分算法

获取原文
获取原文并翻译 | 示例
           
页面导航
  • 摘要
  • 著录项
  • 相似文献
  • 相关主题

摘要

In this paper a new algorithm based on the reproducing kernel method is presented for linear transient analysis using very large time steps. In the conventional time integration methods, the required accuracy is always achieved by either decreasing the size of time steps or increasing the order of approximations. The proposed method, however, does not require a restriction on the size of the time step. The required approximating functions for integration of governing equations are determined using the concept of reproduction of the solution within each time step. A recurrence relationship is obtained through solving the governing equation by the point collocation based reproducing kernel method within the time step. In collocation points, the values of external excitation can be obtained either through the approximation between the values at the beginning and the end of each time step or assigning the exact values of the external force. Hence, one advantage of this new method is the independency of the sampling rates of external excitation from the size of the time step. The proposed method is applied for solving first and second order differential equations, and advantages of the method are illustrated through a number of numerical examples.
机译：本文提出了一种基于重现核方法的新算法，用于使用非常大的时间步长进行线性瞬态分析。在传统的时间积分方法中，所需的精度总是通过减小时间步长或增加近似阶数来实现的。但是，所提出的方法不需要限制时间步长。使用每个时间步长内解的重现概念来确定控制方程积分所需的近似函数。在时间步长内，通过基于点配置的重现核方法求解控制方程，可以得到递归关系。在搭配点上，可以通过每个时间步长的开始和结束之间的近似值或分配外力的精确值来获得外部激励的值。因此，这种新方法的一个优点是外部激励的采样率与时间步长无关。所提出的方法用于求解一阶和二阶微分方程，并且通过许多数值示例来说明该方法的优点。

著录项

相似文献

  • 外文文献
  • 中文文献
  • 专利
获取原文

客服邮箱：kefu@zhangqiaokeyan.com

京公网安备：11010802029741号 ICP备案号：京ICP备15016152号-6 六维联合信息科技 (北京) 有限公司©版权所有

  • 客服微信

  • 服务号