RANDOM VIBRATION OF DUFFING OSCILLATOR WITH A STRONG NONLINEAR CHARACTERISTIC

Abstract

This paper examines the case where component nonlinear Duffing oscillator is treated in the generalcase, for any value of the exponent of odd order. Nonlinear system is approximated by a linear system thatretains the properties of the initially present any error introduced in that small values On the basis ofmathematical calculations corresponding the spectral density are made of the response the graphs for differentvalues of the mass, the elastic constant of the spring, and damping coefficient of nonlinearity factor controlsystem which is introduced in the equation of motion. Mathematical apparatus used to call the Fouriertransform and calculate integrals with Gamma function..

Keywords

• the power spectral density
• response statistics
• random vibration