Three-dimensional free vibration analysis of solid circular cylinders using the B-spline Ritz method

• Nagino Harunobu

  大分工業高等専門学校　都市システム工学科

• Mikami Takashi

  北海道大学大学院　工学研究科北方圏環境政策工学専攻

• Mizusawa Tomisaku

  大同工業大学　都市環境デザイン学科

Bibliographic Information

Other Title

• B-spline Ritz法による中実円筒体の3次元自由振動解析

Abstract

This paper presents the three-dimensional free vibration analysis of solid circular cylinders with any lengths and arbitrary boundary conditions using the B-spline Ritz method based on the theory of elasticity. The proposed method is formulated by the Ritz procedure with the double series of B-spline functions as amplitude displacements and the Fourier series. To demonstrate the convergence and accuracy of the present method, several examples are solved, and the results are compared with other published solutions by the Ritz method with global functions based on the theory of elasticity. Rapid, stable convergence and excellent upper bound solution are obtained by the present method. Moreover, the effects of length-radius ratio and circumferential wave number on frequency parameters of solid circular cylinders having clamped and stress free boundary conditions are also investigated.

Journal

• Journal of Structural Engineering, A

  Journal of Structural Engineering, A 54A 90-101, 2008

  Japan Society of Civil Engineers

Keywords

• solid circular cylinder
• three-dimensional analysis
• free vibration
• B-spline Ritz method
• theory of elasticity

Details

• CRID: 1390282680261605248
• NII Article ID: 130004503660
• DOI: 10.11532/structcivil.54a.90
• ISSN: 1881820X
• Data Source:
  • JaLC
  • CiNii Articles
  • KAKEN
• Abstract License Flag: Disallowed