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METHODS FOR DERIVING EQUATIONS OF MOTION AND DETERMINING NATURAL FREQUENCYEnergy Method: energy.pdfLagrange's Equation: Lagrange.pdf

RAYLEIGH METHODRayleigh's Method: Rayleigh.pdf

RAYLEIGHRITZ METHODRayleighRitz Method for Beams and Rods: Ritz.pdf 
MORE EXAMPLESSpringCylinder System excited by a moving floor: cylinder_moving_floor.pdfSemidefinite System Examples: semidefinite.pdf 

Software 
Executable 
Source 
This program calculates the fundamental frequency of a cantilever tapered beam with a circular crosssection. 
tapered_beam_rayleigh.exe 
tapered_beam_rayleigh.cpp 
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