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Applied Calculus of Variations for Engineers, 2nd Edition
book

Applied Calculus of Variations for Engineers, 2nd Edition

by Louis Komzsik
June 2014
Intermediate to advanced content levelIntermediate to advanced
233 pages
5h 42m
English
CRC Press
Content preview from Applied Calculus of Variations for Engineers, 2nd Edition
Analytic mechanics 167
FIGURE 11.2 Vibration of elastic membrane
11.2.2 Non-zero boundary conditions
So far we restricted ourselves to trivial boundary conditions for the sake of
clarity. In engineering practice, however, non-zero boundary conditions are
very often imposed. These, also called enforced motion, boundary conditions
are the subject of our focus here.
Let us consider the membrane with a flexible boundary allowing some or
all of the boundary points to attain non-zero displacement from the plane.
Let the arc length differential of a section of the boundary in equilibrium be
denoted by ds. The reactive force on the section due to displacement
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Publisher Resources

ISBN: 9781482253597