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Unformatted text preview: 1.000 Deflection, in 0.56000 0.55301 0.988 Stressmax, psi 20158. 20156. 1.000 ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–161 VM71: Transient Response of a Spring-Mass-Damper System
Reference: W. T. Thomson, Vibration Theory and Applications, 2nd Printing, Prentice-Hall,
Inc., Englewood Cliffs, NJ, 1965, pg. 41, ex. 2.2-1. Analysis Type(s): Reduced Transient Dynamic Analysis (ANTYPE = 4) Element Type(s): Combination Elements (COMBIN40) Input Listing: vm71.dat Test Case
A spring-mass system with viscous damping is displaced by a distance ∆ and released. Determine the displacement
u at time t for four damping ratios:
• ξ = 2.0 • ξ = 1.0 (critical) • ξ = 0.2 • ξ = 0.0 (undamped) Figure 71.1 Spring-mass-damper System Problem Sketch Material Properties
w = 10 lb
k = 30 lb/in
m = w/g = 0.02590673 lb-sec2/in Loading
∆ = 1 in
g = 386 in/sec2 ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–162 VM71 Analysis Assumptions and Modeling Notes
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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.
- Spring '09
- The Land