期刊文献+

Nonlinear Vibrations of Timoshenko Beams with Various Boundary Conditions 被引量:2

Nonlinear Vibrations of Timoshenko Beams with Various Boundary Conditions
原文传递
导出
摘要 This paper is concerned with the effects of boundary conditions on the large-amplitude free vi-brations of Timoshenko beams. The effects of nonlinear terms on the frequency of Timoshenko beams with simply supported ends (supported-supported, SS), clamped ends (clamped-clamped, CC) and one end simply supported and the other end clamped (clamped-supported, CS) are discussed in detail. Given a spe-cific vibration amplitude, the change of nonlinear frequency according to the effects of boundary conditions is always in the following descending order: SS, CS, and CC. It is found that the slenderness ratio has a significant influence on the nonlinear frequency. For slender beams, the nonlinear effects of bending curva-ture and shear strain are negligible regardless of the boundary conditions. For short beams and especially for those of large amplitude vibrations, however, the nonlinear effects of bending curvature and shear strain become noticeable in the following ascending order: SS, CS, and CC. This paper is concerned with the effects of boundary conditions on the large-amplitude free vi-brations of Timoshenko beams. The effects of nonlinear terms on the frequency of Timoshenko beams with simply supported ends (supported-supported, SS), clamped ends (clamped-clamped, CC) and one end simply supported and the other end clamped (clamped-supported, CS) are discussed in detail. Given a spe-cific vibration amplitude, the change of nonlinear frequency according to the effects of boundary conditions is always in the following descending order: SS, CS, and CC. It is found that the slenderness ratio has a significant influence on the nonlinear frequency. For slender beams, the nonlinear effects of bending curva-ture and shear strain are negligible regardless of the boundary conditions. For short beams and especially for those of large amplitude vibrations, however, the nonlinear effects of bending curvature and shear strain become noticeable in the following ascending order: SS, CS, and CC.
出处 《Tsinghua Science and Technology》 SCIE EI CAS 2004年第2期125-129,共5页 清华大学学报(自然科学版(英文版)
基金 Supported by Basic Research Foundation of Tsinghua University (No. JC2001003)
关键词 nonlinear vibration Timoshenko beam differential quadrature method nonlinear vibration Timoshenko beam differential quadrature method
  • 相关文献

同被引文献17

  • 1蔡国平,洪嘉振.旋转运动柔性梁的假设模态方法研究[J].力学学报,2005,37(1):48-56. 被引量:54
  • 2WANG J T S, MAHRENHOLTZ O, BOHM J. Extended Galerkin's method for rotating beam vibrations using Legendre polynomials[J]. Solid Mechanics Archives, 1976( 1 ) : 341-365.
  • 3SUBRAHMANYAM K B, KAZA K R V. Vibration and buckling of rotating, pretwisted preconed beams including Coriolis effects[ J]. ASME Journal of Vibration, Acoustics, Stress, and Reliability in Design, 1986,108 : 140-149.
  • 4YOKOYAMA T. Free vibration characteristics of rotation Timoshenko beam [ J ]. International Journal of Mechanical Sciences. 1988,30:743-755.
  • 5KANE T R, RYAN R R, BANERJEE A K. Dynamics of a cantilever beam attached to a moving base [ J ]. Journal of Guidance, 1987,10 (2) : 139-151.
  • 6ZHANG D J, HUSTON R L. On dynamic stiffening of flexible bodies having high angular velocity [ J ]. Mechanics of Structures and Machines, 1996,24 ( 3 ) : 313-329.
  • 7MAYO J, DOMINGUEZ J, SHABANA A A. Geometrically nonlinear formulation of beam in flexible multibody dynamics [ J ]. Transactions of the ASME on Journal of Vibration and Acoustics, 1995 ( 117 ) :501-509.
  • 8ZHONG H, GUO Q. Nonlinear vibration analysis of Timo- shenko beams using the differential quadrature method [ J ]. Nonlinear Dynamics, 2003,32:223-234.
  • 9Hongzhi Zhong,Qiang Guo.Nonlinear Vibration Analysis of Timoshenko Beams Using the Differential Quadrature Method[J]. Nonlinear Dynamics . 2003 (3)
  • 10T.Yokoyama.Free Vibration Characteristics of Rotation Timosh-enko Beam. International Journal of Mechanical Sciences . 1988

引证文献2

二级引证文献5

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