Applied Mathematics and Mechanics (English Edition) ›› 2000, Vol. 21 ›› Issue (9): 995-1001.

• Articles • Previous Articles     Next Articles

DYNAMICAL BEHAVIOR OF NONLINEAR VISCOELASTIC BEAMS

CHEN Li-qun1,2, CHENG Chang-jun1,2   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai 200072, P. R. China;
    2. Department of Mechanics, Shanghai University, Shanghai 201800, P. R. China
  • Received:1999-07-09 Revised:2000-05-10 Online:2000-09-18 Published:2000-09-18
  • Supported by:

    the National Natural Science Foundation of China(19727027);China Postdoctoral Science Foundation;Shanghai Municipal Development Foundation of Science and Technology(98JC14032,98SHB1417)

Abstract: The integro-partial-differential equation that governs the dynamical behavior of homogeneous viscoelastic beams was established. The material of the beams obeys the Leaderman nonlinear constitutive relation. In the case of two simply supported ends, the mathematical model is simplified into an integro-differential equation after a 2nd-order truncation by the Galerkin method. Then the equation is further reduced to an ordinary differential equation which is convenient to carry out numerical experiments. Finally, the dynamical behavior of 1st-order and 2nd-order truncation are numerically compared.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals