Loading 1 in f 1875 lb x 0 analysis assumptions and

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Unformatted text preview: Displacement vs. Time Display ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–163 VM72: Logarithmic Decrement Overview Reference: W. T. Thomson, Vibration Theory and Applications, 2nd Printing, Prentice-Hall, Inc., Englewood Cliffs, NJ, 1965, pg. 45, ex. 2.3-1. Analysis Type(s): Reduced Transient Dynamic Analysis (ANTYPE = 4) Element Type(s): Combination Elements (COMBIN40) Input Listing: vm72.dat Test Case Determine the damped natural period τd and the ratio R between any two successive amplitudes of the freely vibrating spring-mass-viscous damping system. The system is initially held at rest at the stretched position ∆ and then released. Figure 72.1 Logarithmic Decrement Problem Sketch Material Properties W = 10 lb k = 30 lb/in c = 0.12 lb-sec/in Loading ∆ = 1 in g = 386 in/sec2 Analysis Assumptions and Modeling Notes The node locations are arbitrarily selected. The initial static force is k ∆ = 30 lb and the mass is m = W/g = 0.02590673 sec2/in2 . The int...
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