...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International Journal of Solids and Structures >Propagation of longitudinal deformation wave along a lifting rope of variable length
【24h】

Propagation of longitudinal deformation wave along a lifting rope of variable length

机译：纵向形变波沿长度可变的起重绳传播

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

The problem of motion of the rope of variable length consists of solving the boundary value problem with a variable boundary for the one-dimensional wave equation. A change of the rope length is caused by the force acting at the upper cross section of the rope. Studying the wave propagation process along the rope is based on the known integro-differential relation. The problem is reduced to solving two ordinary differential equations with a retarded argument that describe the variable length of the rope and the position of its lower end. The value of argument for functions involved in the right-hand side of the equations lag behind the argument value in the left-hand side of the equations by a time interval it takes for a propagation of the deformation wave throughout the current rope length. The problem is solved by using a technique of the sequential continuation of solution in the cyclic mode for each of the equation alternately. A computer realization of this technique presents no problem. A pilot computer program has been developed for solving the problem. Results of the numerical solution are presented in the case that the active force varies with time according to a piecewise linear relation.
机译：可变长度的绳索的运动问题包括解决一维波动方程具有可变边界的边界值问题。绳索长度的变化是由作用在绳索上部横截面上的力引起的。基于已知的积分微分关系来研究沿绳索的波传播过程。问题被简化为求解两个带滞后变量的常微分方程，该方程描述了绳索的可变长度及其下端的位置。等式右侧涉及的函数的参数值在等式左侧落后于参数值一个时间间隔，该时间间隔使变形波在整个当前绳索长度中传播。对于每个方程，通过使用循环模式下的解决方案的顺序连续交替的技术来解决该问题。该技术的计算机实现没有问题。已经开发了用于解决该问题的试验计算机程序。在有效力根据分段线性关系随时间变化的情况下，给出了数值解的结果。

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