Email Alert    RSS

Applied Mathematics and Mechanics (English Edition) ›› 2002, Vol. 23 ›› Issue (1): 1-12.

• 论文 •    下一篇

QUASI-STATIC AND DYNAMICAL ANALYSIS FOR VISCOELASTIC TIMOSHENKO BEAM WITH FRACTIONAL DERIVATIVE CONSTITUTIVE RELATION

朱正佑1,2, 李根国3, 程昌钧1,4   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
    2. Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China;
    3. Shanghai Supercomputer Center, Shanghai 201203, P. R. China;
    4. Department of Mechanics, Shanghai University, Shanghai 200436, P. R. China
  • 收稿日期:2000-10-27 修回日期:2001-08-23 出版日期:2002-01-18 发布日期:2002-01-18
  • 基金资助:

    the National Natural Science Foundation of China(19772027);the Science Foundation of Shanghai Municipal Commission of Sciences and Technology(98JC14032);the Science Foundation of Shanghai Municipal Commission of Education(99A01)

QUASI-STATIC AND DYNAMICAL ANALYSIS FOR VISCOELASTIC TIMOSHENKO BEAM WITH FRACTIONAL DERIVATIVE CONSTITUTIVE RELATION

ZHU Zheng-you1,2, LI Gen-guo3, CHENG Chang-jun1,4   

  1. 1. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, P. R. China;
    2. Department of Mathematics, Shanghai University, Shanghai 200436, P. R. China;
    3. Shanghai Supercomputer Center, Shanghai 201203, P. R. China;
    4. Department of Mechanics, Shanghai University, Shanghai 200436, P. R. China
  • Received:2000-10-27 Revised:2001-08-23 Online:2002-01-18 Published:2002-01-18
  • Supported by:

    the National Natural Science Foundation of China(19772027);the Science Foundation of Shanghai Municipal Commission of Sciences and Technology(98JC14032);the Science Foundation of Shanghai Municipal Commission of Education(99A01)

PDF

963

摘要： The equations of motion governing the quasi-static and dynamical behavior of a viscoelastic Timoshenko beam are derived. The viscoelastic material is assumed to obey a three-dimensional fractional derivative constitutive relation. The quasi-static behavior of the viscoelastic Timoshenko beam under step loading is analyzed and the analytical solution is obtained. The influence of material parameters on the deflection is investigated. The dynamical response of the viscoelastic Timoshenko beam subjected to a periodic excitation is studied by means of mode shape functions. And the effect of both transverse shear and rotational inertia on the vibration of the beam is discussed.

Abstract: The equations of motion governing the quasi-static and dynamical behavior of a viscoelastic Timoshenko beam are derived. The viscoelastic material is assumed to obey a three-dimensional fractional derivative constitutive relation. The quasi-static behavior of the viscoelastic Timoshenko beam under step loading is analyzed and the analytical solution is obtained. The influence of material parameters on the deflection is investigated. The dynamical response of the viscoelastic Timoshenko beam subjected to a periodic excitation is studied by means of mode shape functions. And the effect of both transverse shear and rotational inertia on the vibration of the beam is discussed.

中图分类号: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals
Total visitors:
Copyright © Applied Mathematics and Mechanics (English Edition)
Address：P. O. Box 122, Shanghai University, 99 Shangda Road, Shanghai 200444, China
E-mail： amm@department.shu.edu.cn
Technical support: Beijing Magtech Co.ltd support@magtech.com.cn