On Stability of Pin-Jointed Beam Affected by Random Pulsating Load

Author:

Carkovs Jevgeòijs1,Matvejevs Andrejs1

Affiliation:

1. Department of Theory of Probability and Mathematical Statistics, Riga Technical University, Kaïíu iela 1, Riga , LV-1658, LATVIA

Abstract

Abstract This paper deals with stability analysis of pin-jointed beams that are affected to random pulsating load. The stability conditions of a pin-jointed beam are analysed using a mathematical model of the beam characterised by longitudinal force with Poisson characteristics and applying the stochastic modification of the second Lyapunov method.

Publisher

Walter de Gruyter GmbH

Subject

Multidisciplinary

Reference15 articles.

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2. Bogoljubov, N. N., Mitropoliskii, Ju. A., and Samojlenko, A. M. (1976). Methods of Accelerated Convergence in Nonlinear Mechanics. Springer-Verlag, New York. 291 pp.

3. Bolotin, V. V. (1964). Dynamic Stability of Elastic Systems. Holden Day, San Francisco. 451 pp.

4. Carkovs, J. Matvejevs, A. (2015). On stochastic resonance in pipeline, induced by pulsed fluid flow. In: Proceedings of the 14th Conference on Applied Mathematics APLIMAT 2015. Slovak University of Technology in Bratislava, Publishing House of STU, pp. 167-174.

5. Carkovs, J., Stoyanov,J. (2005). Asymptotic methods for stability analysis of Markov dynamical systems with fast variables. In: Kabanov, Yu., Liptser, R. (eds.). From Stochastic Analysis to Mathematical Finance. Festschrift for Professor Albert Shiryaev. Springer-Verlag, Berlin, pp. 93-110.

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