›› 2010, Vol. 31 ›› Issue (11): 3613-3618.

• Numerical Analysis • Previous Articles     Next Articles

Vibration analysis of a plate on viscoelastic foundation under moving rectangular loads with variable speeds

LU Zheng1，YAO Hai-lin1，WU Sha2，WU Wan-ping2，LIU Jie1   

  1. 1. State Key Laboratory of Geomechanics and Geotechnical Engineering, Institute of Rock and Soil Mechanics, Chinese Academy of Sciences, Wuhan 430071, China; 2. CCCC Second Highway Consultants Co., Ltd., Wuhan 430056, China
  • Received:2009-12-08 Online:2010-11-10 Published:2010-11-24

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Abstract:

Vibrations of a plate on viscoelastic foundation under moving rectangular loads with variable speeds are investigated; and the general solution of dynamic deflection of the plate is derived using the double Fourier transform. By employing fast Fourier transform (FFT), a rigid pavement is chosen to obtain the numerical results; and the calculation results are consistent with ones of classical solution. The effects of initial moving velocity and acceleration on the dynamic deflection are discussed. The results indicate that the initial velocity and acceleration of the rectangular load have influence on the dynamic response. The dynamic deflection of plate at critical velocity decreases significantly with the increase of the initial moving velocity and acceleration. The maximum dynamic deflection appears when the moving load velocity reaches the critical velocity of plate.

Key words: viscoelastic foundation, moving rectangular loads with variable speeds, double Fourier transform, critical velocity, dynamic deflection

CLC Number: 

  • TB 115
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