Nonlinear Dynamics of Rotors due to Large Deformations and Shear Effects

摘要: An analysis of linear and nonlinear dynamics rotors is presented taking into account the shear effects. The nonlinearity arises due to consideration large deformations in bending. rotor system studied composed a rigid disk circular shaft. In order study combined effect rotary inertia effects shaft modeled as Timoshenko beam cross section. A mathematical model developed consisting 4th coupled differential equations motion. Method multiple scales used solve these equations. Linear dynamic behavior numerically for different values slenderness ratio r. Resonant curves are plotted analysis. Due hard spring type. This hardening more visible lower Also response amplitude higher when taken account.