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The reaction forces at the mass then give the

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Unformatted text preview: SYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–288 VM128 Results Comparison Target ANSYS Ratio Fcr, lb subspace 38.553 38.714[1] 1.004 Fcr, lb Block-Lanczos 38.553 38.712[1] 1.004 1. Fcr = Load Factor (1st mode). ANSYS Verification Manual . ANSYS Release 9.0 . 002114 . © SAS IP, Inc. 1–289 VM129: Numerical Differentiation and Integration Overview Reference: Any Basic Calculus Book Analysis Type(s): First and Second Derivatives and Integrals Using APDL Element Type(s): None Input Listing: vm129.dat Test Case Given a sine wave f(t) = A sin ωt, find the maximum value of the first and second derivatives. For the same sine wave, find the values of the two integrals: I1 = 36 ∫ f ( t )dt and 0 I2 = 36 ∫ ∫ f ( t )dt dt 0 Figure 129.1 Numerical Differentiation and Integration Definitions: A = 1.2732 ω = frequency = π/72 rad/sec Analysis Assumptions and Modeling Notes Arrays for one cycle of 145 data points (one data point per second) are generated, starting from a value of 0 up to 144 (representing time, t, in...
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