Techno Press


Structural Engineering and Mechanics   Volume 10, Number 3, September 2000, pages 197-209
DOI: http://dx.doi.org/10.12989/sem.2000.10.3.197
 
Nonlinear vibration of Timoshenko beam due to moving loads including the effects of weight and longitudinal inertia of beam
Wang RT

 
Abstract     [Full Text]
    The effects of weight and axial inertia of a beam are taken into account for studying the nonlinear vibration of the Timoshenko beam due to external loads. The combination of Galerkins method and Runge-Kutta method are employed to obtain the dynamic responses of the beam. A concentrated force and a two-axle vehicle traversing on the beam are taken as two examples to investigate the response characteristics of the beam. Results show that the effect of axial inertia of the beam increases the fundamental period of the beam. Further, both the dynamic deflection and the dynamic moment of the beam obtained with including the effect of axial inertia of the beam are greater than those of the beam without including that effect of the beam.
 
Key Words
    weight, axial inertia, period, vehicle, dynamic moment
 
Address
Wang RT, Natl Cheng Kung Univ, Dept Engn Sci, Tainan 70101, Taiwan
Natl Cheng Kung Univ, Dept Engn Sci, Tainan 70101, Taiwan
 

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