● TITLE: Contribution to numerical computation of lateral vibration of beams
● AUTHORS: Porat, I. (1934-2012)
● SOURCE: Journal of Sound and Vibration, v. 74, n. 2, pp. 175-85 (22 Jan. 1981)
● LANGUAGE: English.
● ABSTRACT: Two improved methods were developed for numerical computation of natural frequencies of lateral vibration of a non-uniform beam under different boundary conditions. The first method is a transfer matrix (Holzer) method which is a simplification of the conventional Myklestad method, and more accurate by one order of magnitude. The second method is a difference equation method, which is useful when there are complicated boundary conditions; in some cases it too is more accurate (again by one order of magnitude) than its conventional counterpart. Unlike their conventional counterparts, which lack specific regularities with regard to convergence and accuracy, the proposed new methods converge as the relevant numbers of elements squared, and are insensitive to boundary conditions.



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