- #1

SeaMist

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Hi

I was doing an exercise of calculating the "natural frequency" of a 3-mass system. The problem is like:

A shaft has three inertia on it of 6, 4 and 10 kgm2, respectively viewed from left to right. The shaft connecting the first two is 2.6 m long with a stiffness of 12 x 106 Nm/radians and the shaft connecting the last two masses has the length of 2 m and a stiffness of 10 x 106 Nm/radians. The system is supported in bearings at both ends. Ignore the inertia of the shafts and find;

a. The natural vibration frequencies of the system;

b. Locations of the nodes by using a graphical method;

I have calculated the natural frequency of the system and the nodal position alright, but I have difficulty conceptualising/ understanding the "Physical Meaning" of the graphs that I have obtained.

I would alsp appreciate if some one can help me understanding the physical meaning of the graphs attached, and also any interpretation of the graphs.

Thanks

SeaMist

I was doing an exercise of calculating the "natural frequency" of a 3-mass system. The problem is like:

A shaft has three inertia on it of 6, 4 and 10 kgm2, respectively viewed from left to right. The shaft connecting the first two is 2.6 m long with a stiffness of 12 x 106 Nm/radians and the shaft connecting the last two masses has the length of 2 m and a stiffness of 10 x 106 Nm/radians. The system is supported in bearings at both ends. Ignore the inertia of the shafts and find;

a. The natural vibration frequencies of the system;

b. Locations of the nodes by using a graphical method;

I have calculated the natural frequency of the system and the nodal position alright, but I have difficulty conceptualising/ understanding the "Physical Meaning" of the graphs that I have obtained.

I would alsp appreciate if some one can help me understanding the physical meaning of the graphs attached, and also any interpretation of the graphs.

Thanks

SeaMist