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Unformatted text preview: MEM 423: Mechanics of Vibrations Home work #4 ( due 07/22/08) Problem 1 Determine the (minimum) number of degrees of freedom (DOF) for the rocker system shown. The rod AB is rigid with mass m r , and moment of inertia J r about the pivot P. There are three translational springs, and one rotational spring. The top and bottom masses are rigidly attached to the rod. The masses roll on frictionless wheels. Set up the DOFs and show how the four motions can be determined from these. You dont have to generate a model. A B P k c Problem 2: Write a program to set up the mass ( M ), stiffness ( K ), and the input influence ( B ) matrices for the system given below. The (matrix) equations of motion are to be represented as [ ] [ ] 1 2 1 2 ; , T T q q f q q q f f f + = = = &amp;&amp; L L M K B The left and right black bars are fixed supports. You dont need numerical values to set up the program....
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This note was uploaded on 01/23/2009 for the course MEM 423 taught by Professor Yousuff during the Summer '07 term at Drexel.
- Summer '07