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Analysis of regular and chaotic dynamics of the Euler-Bernoulli beams using finite difference and finite element methods 被引量:3
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作者 J.Awrejcewicz a.v.krysko +2 位作者 J.Mrozowski O.A.Saltykova M.V.Zhigalov 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2011年第1期36-43,共8页
Chaotic vibrations of flexible non-linear Euler-Bernoulli beams subjected to harmonic load and with various boundary conditions(symmetric and non-symmetric)are studied in this work.Reliability of the obtained result... Chaotic vibrations of flexible non-linear Euler-Bernoulli beams subjected to harmonic load and with various boundary conditions(symmetric and non-symmetric)are studied in this work.Reliability of the obtained results is verified by the finite difference method(FDM)and the finite element method(FEM)with the Bubnov-Galerkin approximation for various boundary conditions and various dynamic regimes(regular and non-regular).The influence of boundary conditions on the Euler-Bernoulli beams dynamics is studied mainly,dynamic behavior vs.control parameters { ωp,q0 } is reported,and scenarios of the system transition into chaos are illustrated. 展开更多
关键词 Euler-Bernoulli beams · Chaos · Finite differ-ence method · Finite element method
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