|
|
|
|
nonlinear transversely vibrating beams by the homotopy perturbation method with an auxiliary term
|
|
|
|
|
|
|
|
نویسنده
|
sedighi hamid m. ,daneshmand farhang
|
|
منبع
|
journal of applied and computational mechanics - 2015 - دوره : 1 - شماره : 1 - صفحه:1 -9
|
|
چکیده
|
This paper presents the high order frequency-amplitude relationship for nonlinear transversely vibrating beams with odd and even nonlinearities, using homotopy perturbation method with an auxiliary term (hpmat). the governing equations of vibrating buckled beam, beam carrying an intermediate lumped mass, and quintic nonlinear beam are investigated to exhibit the reliability and ability of the proposed asymptotic approach. it is demonstrated that two terms in series expansions are sufficient to obtain a highly accurate periodic solutions. the integrity of the analytical solutions is verified by numerical results.
|
|
کلیدواژه
|
homotopy perturbation method with an auxiliary term ,non-linear vibrating beams ,frequency-amplitude relationship
|
|
آدرس
|
shahid chamran university, faculty of engineering, mechanical engineering department, ایران, mcgill university, department of bioresource engineering, department of mechanical engineering, canada. shiraz university, school of mechanical engineering, ایران
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|