Rayleigh-Ritz Variational Solution Technique
Purpose of Lesson To develop and apply the Rayleigh-Ritz solution technique to demonstrate the need for accurate boundary models in variational methods and to identify the modeling limitations that motivate the use of the finite element method.
The need to satisfy the geometric boundary conditions in variational solutions is formalized in the Rayleigh-Ritz criterion, which states that the strain energy in the approximate solution is less than or equal to the strain energy in the exact solution if the geometric boundary conditions are satisfied. If the geometric boundary conditions are not satisfied, the upper bound given by the Rayleigh-Ritz criterion does not hold.
In the previous lesson, ...
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