ASE 365 - Test 3 Merged

# ASE 365 - Test 3 Merged - ASE 365Structural Dynamics Dr J K...

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ASE 365—Structural Dynamics Test 3 April 30, 2009 Problem 3 (40%) The system shown below is excited by the exponentially decaying step input F 2 ( t ) = F 0 e - αt u ( t ), which is applied to the second mass. The equations of motion are given by bracketleftbigg 2 m 0 0 m bracketrightbiggbraceleftbigg ¨ x 1 ¨ x 2 bracerightbigg + bracketleftbigg 4 k - 2 k - 2 k 3 k bracketrightbiggbraceleftbigg x 1 x 2 bracerightbigg = braceleftbigg 0 F 0 e - αt u ( t ) bracerightbigg .
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