caa a22 4500 445361115 CHVBK 20180317142915.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s11071-010-9791-6 doi (NATIONALLICENCE)springer-10.1007/s11071-010-9791-6 Oscillations of abeam with atime-varying mass [Elektronische Daten] [A. Abramyan, S. Vakulenko] This paper analyzes dynamical behavior of a simply supported Euler-Bernoulli beam with a time-varying mass on its surface. Though the system under consideration is linear, it exhibits dynamics similar to a nonlinear system behavior including internal resonances. The asymptotical solutions for the beam displacement has been found by combining the classical Galerkin method with the averaging method for equations in Banach spaces. The resonance conditions have been derived. It has been proposed a method for finding a number of possible resonances.Effect of the beam parameters on its dynamical behavior is investigated as well. Springer Science+Business Media B.V., 2010 Time-varying mass nationallicence Beam nationallicence Internal resonances nationallicence Abramyan A. Institute of Problems in Mechanical Engineering, Russian Academy of Sciences, V.O., Bol'shoy pr., 61, 199178, St. Petersburg, Russia aut Vakulenko S. Institute of Problems in Mechanical Engineering, Russian Academy of Sciences, V.O., Bol'shoy pr., 61, 199178, St. Petersburg, Russia aut Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 135-147 0924-090X 63:1-2<135 2011 63 11071 https://doi.org/10.1007/s11071-010-9791-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11071-010-9791-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Abramyan A. Institute of Problems in Mechanical Engineering, Russian Academy of Sciences, V.O., Bol'shoy pr., 61, 199178, St. Petersburg, Russia aut NATIONALLICENCE 700 1- Vakulenko S. Institute of Problems in Mechanical Engineering, Russian Academy of Sciences, V.O., Bol'shoy pr., 61, 199178, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Nonlinear Dynamics Springer Netherlands 63/1-2(2011-01-01), 135-147 0924-090X 63:1-2<135 2011 63 11071 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer