Chinese Journal of Theoretical and Applied Mechani ›› 2012, Vol. 44 ›› Issue (6): 1071-1074.DOI: 10.6052/0459-1879-12-023

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SOME QUALITATIVE PROPERTIES OF MODESOF DISCRETE SYSTEM OF BEAM WITH OVERHANG

Wang Qishen1, Zhang Lihua1, Wang Dajun2   

  1. 1. Department of Physics, Anqing Teachers College, Anqing 246011, China;
    2. State Key Laboratory for Turbulence and Complex Systems and Department of Mechanics and Engineering Science,Peking University, Beijing 100871, China
  • Received:2012-01-17 Revised:2012-05-03 Online:2012-11-23 Published:2012-11-28
  • Supported by:

    The project was supported by the National Natural Science Foundation of China (10772001).

Abstract:

Base on the basic oscillating properties of the frequencies and the displacement modes in the discrete system of the beam with overhang, it is proved that the stiffness matrices of conjugated system of a two-span beam with one cantilever is to be sign-oscillated. Then, the sign interchanges number of the flexural moment modes of a beam with one cantilever are determined. Furthermore, some qualitative propertiesof its displacement modes, rotation modes, moment modes and shearing force mode are given. The basic oscillating properties about two-span and three-span continuous beams having middle pinned are obtained practically in this paper as well.

Key words:

beam with overhang|conjugated system|flexural moment modes|rotation modes and shearing force modes|qualitative properties

CLC Number: