(a) Figure Q6 show a Two degree of freedom vibration system with mass m; and m2...
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(a) Figure Q6 show a Two degree of freedom vibration system with mass m; and m2 and spring stiffness k, and k2. If mass m, and m2 are known, without calculation explain clearly how to find the value of spring stiffness ki and k2. (b) Refer to Figure Q6 determine the following. i. Derive the equations of motion and frequency equation for the given system as shown in Figure Q6. Determine the eigenvalues (natural frequencies) and eigenvectors (mode shapes ratio) of the system in term of variables kand m. ii. iii. If the system with mass and spring stiffness, m,=5 kg, m2=2 kg, k;=5 kN/m and k2=10 kN/m, calculate the natural frequencies and the amplitude ratio in principle modes. [20 marks] ki mi m2 X2 Free undamped vibration system with two masses Figure Q6/Rajah S6 (a) Figure Q6 show a Two degree of freedom vibration system with mass m; and m2 and spring stiffness k, and k2. If mass m, and m2 are known, without calculation explain clearly how to find the value of spring stiffness ki and k2. (b) Refer to Figure Q6 determine the following. i. Derive the equations of motion and frequency equation for the given system as shown in Figure Q6. Determine the eigenvalues (natural frequencies) and eigenvectors (mode shapes ratio) of the system in term of variables kand m. ii. iii. If the system with mass and spring stiffness, m,=5 kg, m2=2 kg, k;=5 kN/m and k2=10 kN/m, calculate the natural frequencies and the amplitude ratio in principle modes. [20 marks] ki mi m2 X2 Free undamped vibration system with two masses Figure Q6/Rajah S6
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Related Book For
Physics
ISBN: 978-0077339685
2nd edition
Authors: Alan Giambattista, Betty Richardson, Robert Richardson
Posted Date:
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