Dynamic Analysis of Vibrating Systems with Nonlinearities


YAZDI M. K. , AHMADIAN H., MIRZABEIGY A., YILDIRIM A.

COMMUNICATIONS IN THEORETICAL PHYSICS, cilt.57, ss.183-187, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 57 Konu: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1088/0253-6102/57/2/03
  • Dergi Adı: COMMUNICATIONS IN THEORETICAL PHYSICS
  • Sayfa Sayıları: ss.183-187

Özet

The max-min approach is applied to mathematical models of some nonlinear oscillations. The models are regarding to three different forms that are governed by nonlinear ordinary differential equations. In this context, the strongly nonlinear Duffing oscillator with third, fifth, and seventh powers of the amplitude, the pendulum attached to a rotating rigid frame and the cubic Duffing oscillator with discontinuity are taken into consideration. The obtained results via the approach are compared with ones achieved utilizing other techniques. The results indicate that the approach has a good agreement with other well-known methods. He's max-min approach is a promising technique and can be successfully exerted to a lot of practical engineering and physical problems.