Journal ArticleDOI
Comparison of analytical and experimental results for free vibration of non-uniform composite beams
Larry A. Taber,D.C. Viano +1 more
TLDR
In this paper, a transfer matrix technique for Timoshenko beams of varying cross-sections was used to calculate the frequency and mode shape of the non-uniform beam represented by a series of uniform segments.About:
This article is published in Journal of Sound and Vibration.The article was published on 1982-07-22. It has received 15 citations till now. The article focuses on the topics: Timoshenko beam theory & Beam (structure).read more
Citations
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Journal ArticleDOI
Free and forced vibrations of non-uniform composite beams
TL;DR: In this paper, the effects of shear deformation, rotary inertia, non-uniformity of the cross-section, and angle of fibre orientation on dynamic behavior are investigated.
Journal ArticleDOI
Simple formulas for the natural frequencies of non-uniform cables and beams
TL;DR: In this paper, the authors used the asymptotic development method to obtain approximate analytical expressions for the natural frequencies of non-uniform cables and beams, by manipulating the first-order terms, they obtained the mechanical properties (mass, stiffness, etc.) of the equivalent uniform cables and beam having the same (up to the first order) frequencies of the nonuniform one.
Journal ArticleDOI
Nonlinear vibrations of non-uniform beams by the MTS asymptotic expansion method
TL;DR: In this paper, the frequency response curves of a non-uniform beam undergoing nonlinear oscillations are mined analytically by the multiple time scale method, which provides approximate, but accurate results.
Journal ArticleDOI
The performance and design of ultrasonic vibration system for flexural mode.
TL;DR: The matrix method for analyzing flexural vibration system is outlined and a design method is given for flexural transducer and vibration system.
Journal ArticleDOI
Axial-bending coupled vibration analysis of an axially-loaded stepped multi-layered beam with arbitrary boundary conditions
Zhen Ni,Hongxing Hua +1 more
TL;DR: In this paper, an analytical method for solving both the free and forced vibration of an axially loaded stepped laminated beam with general layers and arbitrary boundary conditions based on the first-order shear deformation theory (FSDT) is presented.
References
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ReportDOI
Timoshenko's shear coefficient for flexural vibrations of beams
TL;DR: In this article, a formula for the shear coefficient was obtained by calculating the frequency (from the free-vibration equations of Timoshenko) at which an infinite beam vibrates without transverse deflections and by equating this with the frequency calculated from the 3D equations of small vibrations of an elastic body.
Journal ArticleDOI
Vibration Frequencies of Tapered Bars and Circular Plates
Journal ArticleDOI
Generalized Hypergeometric Function Solutions on the Transverse Vibration of a Class of Nonuniform Beams
TL;DR: In this paper, the cross-sectional area and the area moment of inertia vary along the beam according to any two arbitrary powers of the longitudinal coordinate, and the numerical results for many different tapered cantilever beams are presented.
Related Papers (5)
Coupled bending and torsional vibrations of non-uniform thin-walled beams by the transfer differential transform method and experiments
Vibration analysis of edge-cracked beams using a line-spring model
Takashi Yokoyama,M.-C. Chen +1 more