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Dynamic stability of sandwich rod and of rotor in bipolar electric drive motor with damping

Morzuch W.

Mechanics and Mechanical Engineering

2010

Vol. 14, nr 2

317-324

The work presents an analysis buckling of a sandwich bar and rotor in bipolar electric drive motor with damping. In order to determine the stability of the transverse motion, equation of its transverse vibration were formulated. From the equations of motion, differential equations interrelating the dynamic deflection with space and time were derived. Eventually. homogeneous, partial, differential equations have been obtained and solved by the Fourier's method. Then an ordinary differential equation (Hill's equation) describing the vibration have been solved. An analysis of the solution became the basis for determining the regions of bar and rotor motion instability. Finally, the critical damping coefficient values at which parametric resonance occurs have been determined.

Dynamic stability of sandwich bar compressed by periodically variable force

Morzuch W.

Vibrations in Physical Systems

2008

Vol. 23

271--276

The work presents an analysis of dynamic buckling of a sandwich bar compressed by a periodically variable force. In order to determine the stability of the bar transverse motion, equations of its transverse vibration were formulated. From the equations of motion, differential equations interrelating of the bar dynamic deflection with space and time were derived. The partial differential equations were solved using the method of separation of variables (Fourier’s method). Then an ordinary differential equation (Hill’s equation) describing the bar vibration was solved. An analysis of the solution became the basis for determining the regions of sandwich bar motion instability. Finally, the critical damping coefficient values at which parametric resonance occurs have been calculated.