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A Problem about Two degree of Freedom Systems
It is a problem about Two degree of Freedom Systems. It describes the derivation of equations of motion for a double pendulum and the calculations of natural frequencies and natural modes.
Subject:
Mechanical and Materials Engineering
Topic:
Mechanical Vibrations
Posting ID:
116394
OTA ID:
105643
Multi degree of Freedom Systems.
A Problem about Multi degree of Freedom Systems. See attached file for full problem description.
Subject:
Mechanical and Materials Engineering
Topic:
Mechanical Vibrations
Posting ID:
116898
OTA ID:
105643
Solve only the second part. The machine shown in the figure is rigidly anchored on a rigid concrete block and the mass of both is 3000 kg. The block has height h = 1 m and square horizontal section with a = 1.2 m and is supported at the corners by 12 springs of stiffness k = 2000 N/m.
Subject:
Mechanical and Materials Engineering
Topic:
Mechanical Vibrations
Posting ID:
158739
OTA ID:
105035
The machine shown in the figure is rigidly anchored on a rigid concrete block and the mass of both is 3000 kg. The block has height h = 1 m and square horizontal section with a = 1.2 m and is supported at the corners by 12 springs of stiffness k = 2000 N/m. i) Derive the equations of motion of the system using both Newton’s law of motion and Lagrange’s equations methods. ii) Find the natural frequencies and mode shapes of the system using both hand calculations and Matlab. iii) A 200-kg mass falls on the middle of one edge of the block and stayed in contact with it. Neglecting the change in the mass, determine the resulting motion. iv) If the block is isolated by layers of elast... click for more
Subject:
Mechanical and Materials Engineering
Topic:
Mechanical Vibrations
Posting ID:
158945
OTA ID:
105035
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