论文信息 - On the optimal design of a vibrating beam

On the optimal design of a vibrating beam

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.

Frithiof I. Niordson | F. Niordson

[1] J. Keller,et al. Strongest Columns and Isoperimetric Inequalities for Eigenvalues , 1962 .

[2] Binyamin Schwarz,et al. Some results on the frequencies of nonhomogeneous rods , 1962 .

[3] Binyamin Schwarz. Bounds for the principal frequency of nonuniformly loaded strings , 1962 .

[4] J. Keller. The shape of the strongest column , 1960 .

[5] P. Beesack,et al. Isoperimetric Inequalities for the Nonhomogeneous Clamped Rod and Plate , 1959 .