A machine tool with mass m = 1000 kg and mass moment of inertia JO = 300 kg/m² rests on elastic supports, as shown in the figure. If the stiffnesses of the supports are given by k1 = 4000 N/mm and k2 = 3000 N/mm, and the supports are located at 11 = 0.4 m and 12 = 0.7 m, determine the natural frequencies and modal forms of the machine -tool Fell m, Jo ·12. rell

A machine tool with mass m = 1000 kg and mass moment of inertia JO = 300 kg/m² rests on elastic supports, as shown in the figure. If the stiffnesses of the supports are given by k1 = 4000 N/mm and k2 = 3000 N/mm, and the supports are located at 11 = 0.4 m and 12 = 0.7 m, determine the natural frequencies and modal forms of the machine -tool Fell m, Jo ·12. rell

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

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Concept explainers

Torsion

In mechanical engineering, torque, torsion, and twisting moment are three of the most important concepts which have different meanings. Torque is the consequence of a moment of a force that produces an angular acceleration in a body or induces rotational kinetic energy in a body. For instance, in an automobile, the power transmission shaft is a body that is always under rotation due to the external torque acting on it, this torque is created by the engine.

Question

A machine tool with mass m = 1000 kg and mass moment of inertia JO = 300 kg/m² rests on
elastic supports, as shown in the figure. If the stiffnesses of the supports are given by k1 =
4000 N/mm and k2 = 3000 N/mm, and the supports are located at 11 = 0.4 m and 12 = 0.7 m,
determine the natural frequencies and modal forms of the machine -tool
88k₁
41
m, Jo
12
8k₂

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