Czasopismo
2012
|
Vol. 11, nr 4
|
11-17
Tytuł artykułu
Autorzy
Wybrane pełne teksty z tego czasopisma
Warianty tytułu
Języki publikacji
Abstrakty
In this paper the Lagrange multiplier formalism has been used to find a solution of free vibration problem of a cantilever tapered beam. The beam has been circumscribed according to the Timoshenko theory. The sample numerical calculations for the cantilever tapered beam have been carried out and compared with experimental results to illustrate the correctness of the present method.
Rocznik
Tom
Strony
11-17
Opis fizyczny
Bibliogr. 14 poz., rys., tab.
Twórcy
autor
- Institute of Mechanics and Machine Design Foundations Czestochowa University of Technology, Czestochowa, Poland, cekus@imipkm.pcz.pl
Bibliografia
- [1] Firouz-Abadi R.D., Haddadpour H., Novinzadeh A.B., An asymptotic solution to transverse free vibrations of variable-section beams, Journal of Sound and Vibration 2007, 304, 530-540.
- [2] Hsu J.H., Lai H.Y., Chen C.K., Free vibration of non-uniform Euler-Bernoulli beams with general elastically end constraints using Adomian modified decomposition method, Journal of Sound and Vibration 2008, 318, 965-981.
- [3] Yagci B., Filiz S., Romero L.L., Ozdoganlar O.B., A spectral-Tchebychev technique for solving linear and nonlinear beam equations, Journal of Sound and Vibration 2009, 321, 375-404.
- [4] Cleghorn W.L., Tabarrok B., Finite element formulation of a tapered Timoshenko beam for free lateral vibration analysis, Journal of Sound and Vibration 1992, 152, 461-470.
- [5] Eisenberger M., Dynamic stiffness matrix for variable cross-section Timoshenko beams, Communications in Numerical Methods in Engineering 1995, 11, 507-513.
- [6] Tong X., Tabarrok B., Vibration analysis of Timoshenko beams with non-homogeneity and varying cross-section, Journal of Sound and Vibrations 1995, 186(5), 821-835.
- [7] Liao M., Zhong H., Nonlinear vibration analysis of tapered Timoshenko beams, Chaos, Solitons and Fractals 2008, 36, 1267-1272.
- [8] Attarnejad R., Semnani S.J., Shahba A., Basic displacement functions for free vibration analysis of non-prismatic Timoshenko beams, Finite Elements is Analysis and Design 2010, 46, 916-929.
- [9] Timoshenko S.P., On the correction for shear of the differential equation for transverse vibrations of prismatic bars, Philosophical Magazine 1921, 6(41), 744-746.
- [10] Timoshenko S.P., On the transverse vibrations of bars of uniform cross section, Philosophical Magazine 1922, 6(43), 379-384.
- [11] Posiadała B., Free vibrations of uniform Timoshenko beams with attachments, Journal of Sound and Vibrations 1997, 204(2), 359-369.
- [12] Posiadała B., Modelling and analysis of continuous-discrete mechanical systems, Application of the Lagrange multiplier formalism, Seria Monografie nr 136, Wydawnictwo Politechniki Częstochowskiej, Częstochowa 2007 (in Polish).
- [13] Cekus D., Use of Lagrange multiplier formalism to solve of transverse vibrations problem of stepped beams according to Timoshenko theory, Scientific Research of the Institute of Mathematics and Computer Science 2011, 2(10), 49-56.
- [14] Cowper G.R., The shear coefficient in Timoshenko’s beam theory, Journal of Applied Mechanics 1966, 33(2), 335-340.
Typ dokumentu
Bibliografia
Identyfikatory
Identyfikator YADDA
bwmeta1.element.baztech-article-BPC6-0026-0002