Calculating nonlinear vibration of eccentrically activated engine foundation on viscoelastic foundation of fractional order

Abstract

ABSTRACT:
The object of the paper is to establish non-linear vibrational differential equation of eccentrically activated engine foundation on
viscoelastic foundation of fractional order. The equation has the following form
mD x t 1 c x c x D x t kx t m e sin t, 0 p 1 2 2       0 1 2   p 2           0  
Based on the theory of fractional derivative and the numerical method of Newmark, the numerical solution of vibrational differential equation is obtained. Then, we can research vibrational properties of eccentrically activated engine foundation on viscoelastic foundation of fractional order.
Through the obtained results, we can realize: vibrational history of model is perfectly conformable to vibrational characteristic of damper.
By investigating the non-linear responses of eccentrically activated engine foundation on viscoelastic foundation of fractional order, complex structures can be designed logically, technical standard assurance.

Keywords: vibration, engine foundation, fractional order, eccentrically