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임형빈,정진태,Im, Hyung-Bin,Chung, Jin-Tai 대한기계학회 2002 大韓機械學會論文集A Vol.26 No.11
Dynamic stability of a rotary oscillating cantilever beam is presented in this study. Using the stretch deformation instead of the conventional axial deformation, three linear partial differential equations are derived from Hamilton's principle and transformed into dimensionless forms. Stability diagrams of the first order approximate solutions are obtained by using the multiple scale perturbation method. The stability diagrams show that relatively large unstable regions exist near the combination of the first chordwise bending natural frequency and the first stretch natural frequency. This result is verified by using the generalized -$\alpha$ method.
임형빈(Hyungbin Im),정진태(Jintai Chung) 대한기계학회 2009 대한기계학회 춘추학술대회 Vol.2009 No.11
In this study, the vibration of an electric motor is analyzed when mechanical and electromagnetic interaction is considered. After obtaining the kinetic, potential and magnetic energies for the motor, the equations of motion are derived by using Lagrange’s equation. These equations are nonlinear equations in which the displacement of motor center and the current of coil are coupled to each other. By applying the Newmark time integration method to the equations, the dynamic responses for the displacement and current are computed. It is found that the mechanical responses are influenced by the electromagnetic properties. In particular, it is shown that the variation of air-gap due to vibration induces the inductance of the motor coil.