Jung Woo Lee

TL;DR: In this paper, an exact transfer matrix method was developed to analyze the free vibration characteristics of a functionally graded beam, which can be used to produce the natural frequencies and mode shapes for such problems in which material properties such as the elastic modulus and density are assumed to vary continuously along the height direction of the beam cross-section depending on a power-law form.

TL;DR: In this article, a transfer-matrix method is developed to determine more accurate solutions to the free vibration characteristics of a tapered Bernoulli-Euler beam, in which the height of the cross-section along the length is linearly reduced.

TL;DR: In this article, a transfer matrix expression was used to determine the eigenpairs of a rotating beam with a cross section height that linearly decreases along the length of the beam element.

TL;DR: In this paper, a novel transfer matrix method is developed to determine the exact natural frequencies and mode shapes of free vibrations in a twisted uniform beam, which is possible by applying the distributed mass and transcendental function while using a local coordinate system in the derivation of the transfer matrix.

TL;DR: In this article, the effects of cracks on the natural frequencies of a rotating Bernoulli-Euler beam are investigated using a new numerical method in which these effects can be computed simply using the transfer matrix method.