Abstract
This paper presents a comprehensive investigation of the free vibrations of stepped straight and curved beams with different shapes and different materials. The beams are assumed to be Euler-Bernoulli type, and Finite Element Displacement Method (FEDM) is used as a computational approach. In-plane and out-of-plane vibration analyses are handled with stepped straight and curved beams at different end conditions. Material pairs of the stepped curved beam are considered as (i) steel-steel, (ii) steel-aluminum, (iii) steel-brass and (iv) steel-araldite. Results are given in tabular form and compared with those in literature and computations obtained by Ansys. The effects of beam shape and different material type on the vibration characteristics are also investigated.
Highlights
Dynamics of stepped beams have been commonly investigated by many researchers due to their importance of industrial applications in many engineering areas such as the automotive world or nautical world
Since the stepped beams are used in many structures and engineering applications, their vibration characteristics have been of great interest to researchers
The novelty of this study is to address the vibration characteristics of a curved beam with different materials regarding stepped wise condition
Summary
Dynamics of stepped beams have been commonly investigated by many researchers due to their importance of industrial applications in many engineering areas such as the automotive world or nautical world. Since the stepped beams are used in many structures and engineering applications, their vibration characteristics have been of great interest to researchers. Kisa and Gurel[1] present a novel numerical technique to analyze the free vibration of uniform and stepped cracked beams with a circular cross-section. Mao and Pietrzko[2] investigate free vibration of a stepped EulerBernolli beam consisting of two uniform sections by using the Adomian Decomposition Method (ADM). Mao[3] states that ADM offers an accurate and effective method of free vibration analysis of multiple-stepped beams with arbitrary boundary conditions. Suddoung et al.[4] study on free vibration response of stepped beams made from functionally graded materials. Lin and Ng6 introduce a novel numerical method to the prediction of vibration modes of general stepped beams with arbitrary steps and general elastic supports. The literature. (ii) A stepped curved beam is taken into consideration regarding different boundary conditions and different materials
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