University of Florida/Egm6321/F10.TEAM1.WILKS/Mtg23
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EGM6321 - Principles of Engineering Analysis 1, Fall 2009
Mtg 23: Thurs, 15Octt09
HW: Non-homogeneous L2_ODE_VC (cf. K. p28, problem 1.1.ab)
a)
b)
using:
1) Variation of parameters (after knowing
2) Alternative method: P.21-2 and P.21-3
Engineering application: Motivate L2_ODE_VC
Ware equation: Drums=vibrating membrane
Rectangular membrane
Circular membrane (Bessel functions)
Bessel differential equation
Chladni: Experimental method for vibrating modes of plates
Wave eq: (PDE) solution by separation of variables