● 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.
● COMMENT:
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