...
  • 主题
高级搜索  >
历史搜索 清空历史
首页> 外文期刊>Journal of thermal stresses >VIBRATION ANALYSIS OF A TRANSVERSELY ISOTROPIC HOLLOW CYLINDER BY USING THE MATRIX FROBENIUS METHOD
【24h】

VIBRATION ANALYSIS OF A TRANSVERSELY ISOTROPIC HOLLOW CYLINDER BY USING THE MATRIX FROBENIUS METHOD

机译：横贯各向同性空心圆柱体的振动分析

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

The aim of the paper is to study three-dimensional free vibrations in a homogeneous transversely isotropic, thermoelastic hollow cylinder, which is initially undeformed and at uniform temperature. The surfaces of the cylinder are subjected to stress free and thermally insulated or isothermal boundary conditions. The displacement potential functions have been introduced in the equations of motion and heat conduction to decouple purely shear and longitudinal motions. The purely transverse wave is not affected by thermal field. By using the method of separation of variables, the system of governing partial differential equations is reduced to four second-order coupled ordinary differential equations in radial coordinate. The Matrix Frobenius method of the extended power series is employed to obtain the solution in radial direction. To illustrate the analytic results, the numerical solution of various relations and equations has been carried out to compute the lowest frequency, frequency shift and damping factor of vibrations in a hollow cylinder of zinc material with MA TLA B software programming. The computer simulated results have been presented graphically.
机译：本文的目的是研究均质，横向各向同性，热弹性的中空圆柱体中的三维自由振动，该圆柱体最初未变形且温度均匀。圆柱体的表面处于无应力，绝热或等温边界条件。在运动和热传导方程中引入了位移势函数，以使纯剪切运动和纵向运动解耦。纯横向波不受热场的影响。通过使用变量分离的方法，控制偏微分方程的系统在径向坐标上被简化为四个二阶耦合常微分方程。采用扩展幂级数的矩阵Frobenius方法获得径向解。为了说明分析结果，已使用MA TLA B软件编程进行了各种关系和方程式的数值解，以计算中空圆筒形锌材料中振动的最低频率，频移和阻尼系数。计算机仿真结果已以图形方式呈现。

著录项

  • 来源
    《Journal of thermal stresses》 |2011年第9期|p.934-957|共24页
  • 作者

    J. N. Sharma; H. Singh; Y. D. Sharma;

  • 作者单位

    Department of Mathematics, National Institute of Technology, Hamirpur, India;

    rnDepartment of Mathematics, Lyallpur Khalsa College Jalandhar, Pb, India;

    rnDepartment of Mathematics, National Institute of Technology, Hamirpur, India;

  • 收录信息 美国《科学引文索引》(SCI);美国《工程索引》(EI);
  • 原文格式 PDF
  • 正文语种 eng
  • 中图分类
  • 关键词

    cylinder; damping; frequency shift; frobenius method;

    机译：圆筒;阻尼频移弗罗贝尼乌斯法;

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