Low-frequency vibrations of multispan beams of regular structure
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.
KeywordsPeriodic Structure Periodic System Regular Structure Constant Characteristic Elastic System
Unable to display preview. Download preview PDF.
- 1.V. V. Bolotin,Dynamic Stability of Elastic Systems [in Russian], Moscow (1956).Google Scholar
- 2.V. A. Kisilev,Mechanical Engineering: A Special Course. Dynamics and Stability of Equipment [in Russian], Moscow (1980).Google Scholar
- 3.A. D. Myshkis,Mathematics for Higher Technical Institutes. Special Courses [in Russian], Moscow (1971).Google Scholar
- 4.I. M. Babakov,Theory of Vibrations [in Russian], Moscow (1965).Google Scholar