Chapter 8 for Dynamics, Noise and Vibration module (code UFMEAW-20-3) at UWE Bristol.
Chapter 8 is entitled Forced Oscillation: Fourier Analysis. This chapter talks about how Fourier transforms can be used to represent non-periodic functions. This video covers the derivation of the convolution integral (also known as Duhamel Integral) and goes through an example showing its use.
Dynamics, Noise & Vibration - Ch. 8 - Convolution Integral
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UWElecturevibrationdynamicsmechanical engineeringengineeringautomotive engineeringaerospace engineeringvibrationssingle degree of freedomoscillationdampingundampedsimple harmonic motiondamped oscillationforced oscillationforcePeriodic Functionfourier seriesFourier Series (Concepts/Theories)Fourier Analysis (Concepts/Theories)Fourier Transform (Idea)Mathconvolutiondelta functionDirac Delta Function (Namesake)duhamel integral