A vibrating system is modelled as a three degree freedom system. The mass and mass- normalized...

   

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A vibrating system is modelled as a three degree freedom system. The mass and mass- normalized stiffness matrices of the vibration problem are given as: i. 007 M 4 0 1 0 Lu 0 ii. 3 111. K- The initial condition is x₁(0)1m. All other initial displacements and velocities are zero. .0 -1 Given that the characteristic equation of the vibration problem is 2²-52²+62-1=0 Calculate the natural frequency 01, 002, 03 of the system. MECH3203(5) - Vibration and Noise Use natural frequencies to find the normalized mode shapes. The total response of the three-degree-freedom system. [3 marks] [6 marks] [6 marks] A vibrating system is modelled as a three degree freedom system. The mass and mass- normalized stiffness matrices of the vibration problem are given as: i. 007 M 4 0 1 0 Lu 0 ii. 3 111. K- The initial condition is x₁(0)1m. All other initial displacements and velocities are zero. .0 -1 Given that the characteristic equation of the vibration problem is 2²-52²+62-1=0 Calculate the natural frequency 01, 002, 03 of the system. MECH3203(5) - Vibration and Noise Use natural frequencies to find the normalized mode shapes. The total response of the three-degree-freedom system. [3 marks] [6 marks] [6 marks]