254 mm loading f1 84 n f2 1 n analysis assumptions and

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Unformatted text preview: ep Excitation Overview Reference: W. T. Thomson, Vibration Theory and Applications, 2nd Printing, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1965, pg. 102, article 4.3. Analysis Type(s): Reduced Transient Dynamic Analysis (ANTYPE = 4) Element Type(s): Combination Elements (COMBIN40) Input Listing: vm75.dat Test Case A spring-mass-damping system, initially at rest, is subjected to a step force change F acting on the mass. Determine the maximum deflection umax for the undamped case. Determine the displacement u at time t for two damping ratios: • ξ = 0.0 (undamped) • ξ = 0.5 Figure 75.1 Step Excitation Problem Sketch Material Properties m = 0.5 lb-sec2/in k = 200 lb/in Loading F = 200 lb (see Figure 75.2: “Displacement vs. Time Display”) Analysis Assumptions and Modeling Notes The node locations are arbitrarily selected. The damping coefficient c is calculated as 2ξ sqrt(km) = 0.0 and 10 lb-sec/in for ξ = 0.0 and ξ = 0.5 respectively. A static solution is done at the first load step. The maximum...
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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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