...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Applied Mathematical Modelling >Large amplitude vibration of heated corrugated circular plates with shallow sinusoidal corrugations
【24h】

Large amplitude vibration of heated corrugated circular plates with shallow sinusoidal corrugations

机译：浅正弦波纹的加热波纹圆板的大振幅振动

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 presents a nonlinear free vibration analysis of corrugated circular plates with shallow sinusoidal corrugations under uniformly static ambient temperature. Based on the nonlinear bending theory of thin shallow shells, the governing equations for corrugated plates are established from Hamilton's principle. These partial differential equations are reduced to corresponding ordinary ones by elimination of the time variable with Kantoro-vich method following an assumed harmonic time mode. The resulting equations, which form a nonlinear two-point boundary value problem in spatial variable, are then solved numerically by shooting method, antfthe temperature-dependent characteristic relations of frequency vs. amplitude for nonlinear vibration of heated corrugated plates are obtained successfully. The comparison with available published results shows that the numerical analysis here is of good reliability. A detailed parametric study is conducted involving the dependency of nonlinear frequency on the depth and density of corrugations along with the temperature change. Effects of these variables on the trend of nonlinearity are plotted and discussed.
机译：本文提出了在均匀静态环境温度下具有浅正弦波纹的波纹圆形板的非线性自由振动分析。基于薄壳薄壁的非线性弯曲理论，根据汉密尔顿原理建立了波纹板的控制方程。通过采用假定的谐波时间模式的Kantoro-vich方法消除时间变量，可以将这些偏微分方程简化为相应的常微分方程。通过射孔法数值求解所形成的方程，该方程在空间变量中形成非线性两点边值问题，并成功求解了加热瓦楞纸板非线性振动的频率与振幅的反温度相关特性关系。与现有公布结果的比较表明，此处的数值分析具有良好的可靠性。进行了详细的参数研究，涉及非线性频率对波纹深度和密度以及温度变化的依赖性。绘制并讨论了这些变量对非线性趋势的影响。

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