Journal of Mathematical Sciences

, Volume 90, Issue 1, pp 1896–1898 | Cite as

Low-frequency vibrations of multispan beams of regular structure

  • O. M. Shul’ga


For multispan beams of periodic structure with constant characteristics between supports we obtain closed-form expressions for the monodromy matrix and the characteristic equations for its eigenvalues. In the low-frequency approximation we establish bounds on the first zone of instability of parametric vibrations of a homogeneous multispan beam. Bibliography: 4 titles.


Periodic Structure Periodic System Regular Structure Constant Characteristic Elastic System 
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Literature Cited

  1. 1.
    V. V. Bolotin,Dynamic Stability of Elastic Systems [in Russian], Moscow (1956).Google Scholar
  2. 2.
    V. A. Kisilev,Mechanical Engineering: A Special Course. Dynamics and Stability of Equipment [in Russian], Moscow (1980).Google Scholar
  3. 3.
    A. D. Myshkis,Mathematics for Higher Technical Institutes. Special Courses [in Russian], Moscow (1971).Google Scholar
  4. 4.
    I. M. Babakov,Theory of Vibrations [in Russian], Moscow (1965).Google Scholar

Copyright information

© Plenum Publishing Corporation 1998

Authors and Affiliations

  • O. M. Shul’ga

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