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Engineering Analysis – Fall 2009Lecture 2Transform MethodsProperties of the Laplace TransformSlide 5Engineering Analysis – Fall 2009Dan C. MarinescuOffice: HEC 439 BOffice hours: Tu-Th 11:00-12:00Lecture 2 2Lecture 2Last timeSoftware packages for numerical simulation.ModelingAnalytical and Numerical Methods for Model SolvingExample – the bungee jumperToday:More on Analytical and Numerical Methods for Model SolvingLaplace TransformNext TimeOverview of MatlabLecture 2 3 Transform MethodsBasic idea: find a convenient representation of the equations describing a physical phenomena. For example, in signal analysis rather than analyzing a function of time, s(t), study the spectrum of the signal S(f), in other words carry out the analysis in the frequency domain rather than the time domain.Advantage of Fourier (spectral analysis): More intuitive physical representationInstead of correlation (an intensive numerically problem) use multiplication.Lecture 2 4 Properties of the Laplace TransformLinearity ScalingFrequency shiftingTime shiftingFrequency differentiationFrequency integrationDifferentiationIntegrationConvolutionLecture 2


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UCF EGN 3420 - Lecture Notes

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