Advertisement

Acta Mechanica Sinica

, Volume 3, Issue 1, pp 62–72 | Cite as

The strain solitary waves in a nonlinear elastic rod

  • Zhang Shanyuan
  • Zhuang Wei
Article

Abstract

Solitary strain waves in a nonlinear elastic rod are analysed in this paper; influence of the physical and geometrical parameters of the rod on the waves are discussed; some main properties of the solitary waves are pointed out.

Key words

nonlinear elastic rod solitary wave 

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. [1]
    G. A. Nariboli and A. Sedov, Burgers's-Korteweg-De Vries equation for viscoelastic rods and plates.J. Math Anal Appl,32, (1970).Google Scholar
  2. [2]
    Zhu Weiqiu. The nonlinear wave in a elastic rod,Acta Mechanica Solida Sinica. 2, (1980). (In Chinese).Google Scholar
  3. [3]
    A. H. Nayfeh and D. T. Mook, Nonlinear Oscillations (1979).Google Scholar
  4. [4]
    Zhuang Wei Yang Guitong. The propagation of the solitary wave in a nonlinear elastic rod,Applied Mathematics and Mechanics,7, 7(1986).Google Scholar
  5. [5]
    G. B. Whitham, Linear and Nonlinear Waves (1974).Google Scholar
  6. [6]
    P. L. Bhatnager, Nonlinear Waves in One-Dimensional Dispersive System, Clarendon Press, Oxford (1979).Google Scholar
  7. [7]
    Tosiya Taniuti and Katsunobu Nishihara, Nonlinear Waves, Pitman Press, Bath, Avon (1983).Google Scholar

Copyright information

© Chinese Society of Theoretical and Applied Mechanics 1987

Authors and Affiliations

  • Zhang Shanyuan
    • 1
  • Zhuang Wei
    • 2
  1. 1.Taiyuan University of TechnologyTaiyuanChina
  2. 2.Xian Jiaotong UniversityXianChina

Personalised recommendations