An analytical approach on a mass grounded by linear and nonlinear springs in series

International Journal of Physical Sciences

Mahdi Bayat¹ 

关键词: Variational approach method;    nonlinear oscillation;    analytical method.;   

DOI  :  10.5897/IJPS10.662

学科分类：物理（综合）

来源: Academic Journals

【 摘 要 】

In this paper, He’s variational approach method is used to solve large amplitude freevibration of a mass grounded by linear and nonlinear springs in series. The conservative oscillation system is formulated as a nonlinear ordinary differential equation having linear and nonlinear stiffness components. By doing some simple mathematical operations on this method, we can obtain their natural frequencies. The main objective of present study is to obtain highly accurate analytical solution, which is valid for whole solution domain, for free vibration of a conservative oscillator with inertia and static type cubic nonlinearities. Other numerical results are finally presented and discussed to validate the present analysis.

【 授权许可】

CC BY