期刊文献+

复杂约束管道固有频率的快速算法 被引量:2

A fast algorithm for natural frequencies of pipe with complex restrictions
下载PDF
导出
摘要 采用微分求积法求解输流管道的固有频率.研究了两端弹性支承管道的横向振动,建立了管道横向振动的微分方程,为了避免复杂边界带来的计算困难,用微分求积法求解了系统的固有频率,并与分离变量方法和文献结果相比较,验证了该算法的准确性和高效性. The differential quadrature method ( DQM ) is extended to solve the natural frequencies of pipe. The transverse vibration of the pipe with complex restrictions is investigated, and the equations of the transverse vibration is established. To avoid complicated calculation the DQM is applied to calculate the system natural frequencies. By comparing the results of differential quadrature method and separated variables method, the high precision and efficiency of DQM is proved.
出处 《哈尔滨工业大学学报》 EI CAS CSCD 北大核心 2007年第5期771-773,共3页 Journal of Harbin Institute of Technology
基金 国家自然科学基金重点资助项目(10632040) 国家自然科学基金资助项目(10372063)
关键词 输流管道 复杂约束 固有频率 pipe complex restriction natural frequencies
  • 相关文献

参考文献2

二级参考文献10

  • 1梁波,唐家祥.输液管道动力特性与动力稳定性的有限元分析[J].固体力学学报,1993,14(2):167-170. 被引量:26
  • 2王鑫伟.微分求积法在结构力学中的应用[J].力学进展,1995,25(2):232-240. 被引量:90
  • 3Roy R Craig Jr.结构动力学[M].北京:人民交通出版社,1996..
  • 4C Shu, B E Richards. High Resolutin of Natural Convection in a Square Cavity by Generalized Differential Quadrature[A]. Pro 3rd Int Conf on Advances in Numer Methods in Eng, Theory and Applications[C]. Swansea, U K, 1990:978- 985 .
  • 5C Shu, B E Richards. Application of Generalized Differential Quadrature to Solve Two-dimensional Incompressible Navier-Stokes Equations[J].Int J Numer Methods Fluids,1992,15:791-798.
  • 6Chang-New Chen. Vibration of Prismatic Beam on an Elastic Foundation by the Differential Quadrature Element Method[J].Computers & Structures,2000,77:1-9.
  • 7T Y Wu,G R Liu. The Generalized Differential Quadrature Rule for Fourth-order Differential Equations [J] .Int J Numer Meth Eng,2001,50:1907-1929.
  • 8Paidoussis M P,J Fluid Struct,1993年,8卷,853页
  • 9Ting E C,J Sound Vibration,1983年,88卷,3期,289页
  • 10黄玉盈,钱勤,徐鉴,邹时智,李琳.输液管的非线性振动、分叉与混沌——现状与展望[J].力学进展,1998,28(1):30-42. 被引量:54

共引文献31

同被引文献8

引证文献2

二级引证文献9

相关作者

内容加载中请稍等...

相关机构

内容加载中请稍等...

相关主题

内容加载中请稍等...

浏览历史

内容加载中请稍等...
;
使用帮助 返回顶部