Xing Yufeng. Analytical Solutions of Linearly Elastic Impact of Beams[J]. Journal of Beijing University of Aeronautics and Astronautics, 1998, 24(6): 633-637. (in Chinese)
Citation: Xing Yufeng. Analytical Solutions of Linearly Elastic Impact of Beams[J]. Journal of Beijing University of Aeronautics and Astronautics, 1998, 24(6): 633-637. (in Chinese)

Analytical Solutions of Linearly Elastic Impact of Beams

  • Received Date: 02 Jul 1998
  • Publish Date: 30 Jun 1998
  • According to the elastic impact problems of structures are considered as initial value problems of the integrated impact structural systems,and the analytical solutions of a particle and a rod impacting laterally with a simply-supported beam are given. The dynamical responses of the above-mentioned two impact problems are investigated by numerical analysis. The convergence of the impact loads is analyzed in detail. And the effects of elastic contact deflections on convergence and impact responses are discussed,in which the elastic contact deflection is considered to be a spring.

     

  • 1. Timoshenko S.Vibration problems in engineering. 2nd ed. New York:D Van Nostrand Company, Inc,1937.392~398 2. Goldsmith W.Impact. London:Edward Arnold,1960.379 3. Mittal R K, Khalili M R. Analysis of impact of a moving body on an orthotropic elastic plate. AIAA J,1994,32:580~586 4. 邢誉峰,诸德超.用模态法识别结构弹性撞击载荷的可行性. 力学学报,1995,27(5):560~566 5. Bangash M Y H. Impact and explosion analysis and design. Great Britain:The Cambridge University,1993.804 6. 诸德超,邢誉峰. 点弹性碰撞问题之解析解.力学学报,1996,28(1):99~103 7. Zhong Z-H, Mackerie J. Contact-impact problems:a review with bibliography. Appl Mech Rew.1994,47:55~76 8. Pallock G D, Noor A K. Sensitivity analysis of the contact/impact responses of composite structures. Computers and Structures, 1996,61:251~269
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