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Journal of Shanghai University（Natural Science Edition） ›› 2011, Vol. 17 ›› Issue (5): 648-652.doi: 10.3969/j.issn.1007-2861.2011.05.014

• Mathematics.Physics and Chemistry • Previous Articles     Next Articles

Numerical Simulation of Natural Frequencies of Axially Moving Timoshenko Fixed Beams

ZHANG Ji-guang1,2,HU Chao-rong1,TANG You-qi1,MENG Li-yuan3   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China; 2. Rizhao Polytechnic, Rizhao 276826, Shandong, China; 3. Department of Physics, Tongji University, Shanghai 200092, China
  • Received:2010-05-31 Online:2011-10-26 Published:2011-10-26

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Abstract: Natural frequencies of axially moving beams with fixed supports are analyzed based on the Timoshenko model by using the Galerkin method and the differential quadrature method. Numerical examples are presented to show effects of the related parameters on the frequencies, such as axial speed and stiffness. Results obtained with the differential quadrature and the complex mode methods are in good agreement, while the results obtained with the Galerkin method are slightly different.

Key words: axially moving beams, differential quadrature method, Galerkin method, natural frequencies, Timoshenko model

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