inc new york ny 1978 p 336 explicit dynamics with

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Unformatted text preview: OMBI165) Input Listing: vme1.dat Test Case The one-DOF system consists of a spring, K, and mass, M. The load is a step function with a rise time, as shown. The peak displacement of M from the finite element solution is compared to an analytical result. Figure E1.1 Response of Spring-Mass System Problem Sketch Material Properties M = 1kg K = 100 N/m Geometric Properties Spring L.C. = 1m Loading Applied force, f(t), to the mass in the form shown in Figure E1.1: “Response of SpringMass System Problem Sketch”, with t1=1 second, and Fo = 3 N. Analysis Assumptions and Modeling Notes The magnitude and rise time of the force input were chosen arbitrarily. As outlined in W. T. Thomson, Vibration Theory and Applications, for the system in Figure E1.1: “Response of Spring-Mass System Problem Sketch”, with the force input shown, the peak response is given by: 1 x peak = (Fo / K ) 1 + ωn t1 2 (1 − cos (ωn t1 ) ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 3–2 VME1 where ωn is the system undamped natural frequency in...
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This note was uploaded on 12/09/2010 for the course DEPARTMENT E301 taught by Professor Kulasinghe during the Spring '09 term at University of Peradeniya.

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