EG-260 @Avril Slone 1 of 1 EG -260 Dynamics I - Example Sheet5Multi degree of freedom systems 1. Write down the equations of motions for the torsional system of two circular plates with moments of inertia I1and I2, and torsional stiffness k1and k2. Use variables θ1and θ2to describe the angular rotation of the two plates at any point in time. Determine the normal modes when I1= I2= Iand k1= k2= k2. Two equal masses are attached to a light string with tension T. Assuming Tremains unchanged when the masses are displaced normal to the string, calculate normal mode frequencies of vibration. 3. Determine the natural frequencies and mode shapes of the system shown. 4. A two storey car park can be modelled as shown. Assuming
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