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ON THE OPTIMAL DESIGN OF A VIBRATING BEAM
FRITHIOF I. NIORDSON
Quarterly of Applied Mathematics
Vol. 23, No. 1 (APRIL, 1965), pp. 47-53
Published by: Brown University
Stable URL: http://www.jstor.org/stable/43635465
Page Count: 7
You can always find the topics here!Topics: Boundary conditions, Eigenvalues, Natural frequencies, Differential equations, Mathematical inequalities, Vibration, Area function, String, Bending, Coordinate systems
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This paper deals with the problem of finding the best possible tapering of a simply supported beam, which for a given volume would have the highest possible value of the natural frequency for the lowest mode of lateral vibrations. The differential equation governing the deflection is given and a procedure to solve this non-linear equation by successive iterations is presented.
Quarterly of Applied Mathematics © 1965 Brown University