...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>International journal of non-linear mechanics >On non-linear vibration analyses of continuous systems with quadratic and cubic non-linearities
【24h】

On non-linear vibration analyses of continuous systems with quadratic and cubic non-linearities

机译：具有二次和三次非线性的连续系统的非线性振动分析

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

This paper examines the validity of non-linear vibration analyses of continuous systems with quadratic and cubic non-linearities. As an example, we treat a hinged-hinged Euler-Bernoulli beam resting on a non-linear elastic foundation with distributed quadratic and cubic non-linearities, and investigate the primary (Ω ≈ ω_n) and subharmonic (Ω ≈ 2ω_n) resonances, in which Ω and ω_n are the driving and natural frequencies, respectively. The steady-state responses are found by using two different approaches. In the first approach, the method of multiple scales is applied directly to the governing equation that is a non-linear partial differential equation. In the second approach, we discretize the governing equation by using Galerkin's procedure, and then apply the shooting method to the obtained ordinary differential equations. In order to check the validity of the solutions obtained by the two approaches, they are compared with the solutions obtained numerically by the finite difference method.
机译：本文研究了具有二次和三次非线性的连续系统的非线性振动分析的有效性。例如，我们处理搁置在具有非线性分布的二次和三次非线性非线性弹性基础上的铰链铰链式欧拉-伯努利梁，并研究在其中Ω和ω_n分别是驱动频率和固有频率。通过使用两种不同的方法可以找到稳态响应。在第一种方法中，将多尺度方法直接应用于控制方程，该控制方程是非线性偏微分方程。在第二种方法中，我们通过使用Galerkin程序离散化控制方程，然后将射击方法应用于获得的常微分方程。为了检查通过两种方法获得的解的有效性，将它们与通过有限差分法数值获得的解进行比较。

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