Equation of motion of a 2 DOF system is given below: Mä + Kr = F where the mass matrix is defined as: 10 M 0 20 and the stiffness matrix is defined as: 3000 -1000 K = -1000 5000 This system is excited by a frequency squared harmonic force. This frequency squared harmonic force is defined as: 10w x cos(wit) F = 20w x cos(wat) | where w = 10rad/s and wa = 20rad/s Calculate the steady-state response of the system.

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Free undamped vibrations

Whenever an object/system displaces in either side of its equilibrium position with the help of an external/internal means, then the object/system moves regularly or randomly on both sides of its equilibrium position. This motion is called vibration. Generally, there are three types of vibration: longitudinal vibration, transverse vibration, and torsional vibration.