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Ö. Özdemir, M. Kaya (2006)
Flapwise bending vibration analysis of a rotating tapered cantilever Bernoulli–Euler beam by differential transform methodJournal of Sound and Vibration, 289
Qibo Mao (2012)
Free vibration analysis of elastically connected multiple-beams by using the Adomian modified decomposition methodJournal of Sound and Vibration, 331
M. Rosa, M. Lippiello (2007)
Non-classical boundary conditions and DQM for double-beamsMechanics Research Communications, 34
S. Nourazar, A. Mirzabeigy (2013)
Approximate solution for nonlinear Duffing oscillator with damping effect using the modified differential transform methodScientia Iranica, 20
M. Huang, J. Liu (2013)
Substructural Method for Vibration Analysis of the Elastically Connected Double-Beam SystemAdvances in Structural Engineering, 16
S. Kelly, Shirish Srinivas (2009)
Free vibrations of elastically connected stretched beamsJournal of Sound and Vibration, 326
Kittisak Suddoung, J. Charoensuk, N. Wattanasakulpong (2014)
Vibration response of stepped FGM beams with elastically end constraints using differential transformation methodApplied Acoustics, 77
A. Alibeigloo, R. Madoliat (2009)
Static analysis of cross-ply laminated plates with integrated surface piezoelectric layers using differential quadratureComposite Structures, 88
S. Rajasekaran (2013)
Differential transformation and differential quadrature methods for centrifugally stiffened axially functionally graded tapered beamsInternational Journal of Mechanical Sciences, 74
A. Palmeri, S. Adhikari (2011)
A Galerkin-type state-space approach for transverse vibrations of slender double-beam systems with viscoelastic inner layerJournal of Sound and Vibration, 330
A. Ariaei, S. Ziaei-Rad, M. Ghayour (2011)
Transverse vibration of a multiple-Timoshenko beam system with intermediate elastic connections due to a moving loadArchive of Applied Mechanics, 81
B. Akgöz, Ö. Civalek (2014)
A new trigonometric beam model for buckling of strain gradient microbeamsInternational Journal of Mechanical Sciences, 81
S. Hasheminejad, A. Ghaheri, Shahed Rezaei (2012)
Semi-analytic solutions for the free in-plane vibrations of confocal annular elliptic plates with elastically restrained edgesJournal of Sound and Vibration, 331
A. Sağlamer, M. Balkaya, M. Kaya (2010)
Free transverse vibrations of an elastically connected simply supported twin pipe systemStructural Engineering and Mechanics, 34
V. Fakhari, A. Ohadi, Peyman Yousefian (2011)
Nonlinear free and forced vibration behavior of functionally graded plate with piezoelectric layers in thermal environmentComposite Structures, 93
Li Jun, Hong-xing Hua (2008)
Dynamic stiffness vibration analysis of an elastically connected three-beam systemApplied Acoustics, 69
M. Abu-Hilal (2006)
Dynamic response of a double Euler-Bernoulli beam due to a moving constant loadJournal of Sound and Vibration, 297
O. Demirdag, Y. Yesilce (2011)
Solution of free vibration equation of elastically supported Timoshenko columns with a tip mass by differential transform methodAdv. Eng. Softw., 42
P. Kozić, R. Pavlović, Danilo Karličić (2014)
The flexural vibration and buckling of the elastically connected parallel-beams with a Kerr-type layer in betweenMechanics Research Communications, 56
J. Seelig, W. Hoppmann (1964)
Normal Mode Vibrations of Systems of Elastically Connected Parallel BarsJournal of the Acoustical Society of America, 36
A. Mirzabeigy, F. Bakhtiari-Nejad (2014)
Semi-analytical approach for free vibration analysis of cracked beams resting on two-parameter elastic foundation with elastically restrained endsFrontiers of Mechanical Engineering, 9
K. Bozdoğan, D. Ozturk (2014)
Free Vibration Analysis of the Tube-In-Tube Tall Buildings with the Differential Transform MethodAdvances in Structural Engineering, 17
V. Stojanovic, P. Kozić, G. Janevski (2013)
Exact closed-form solutions for the natural frequencies and stability of elastically connected multiple beam system using Timoshenko and high-order shear deformation theoryJournal of Sound and Vibration, 332
A. Mirzabeigy, A. Yıldırım (2014)
Approximate periodic solution for nonlinear jerk equation as a third-order nonlinear equation via modified differential transform methodEngineering Computations, 31
S. Çatal (2008)
Solution of free vibration equations of beam on elastic soil by using differential transform methodApplied Mathematical Modelling, 32
F. Ebrahimi, E. Salari (2015)
Nonlocal thermo-mechanical vibration analysis of functionally graded nanobeams in thermal environmentActa Astronautica, 113
H. Yalcin, A. Arikoglu, I. Özkol (2009)
Free vibration analysis of circular plates by differential transformation methodAppl. Math. Comput., 212
S. Semnani, R. Attarnejad, Rahmat Firouzjaei (2013)
Free vibration analysis of variable thickness thin plates by two-dimensional differential transform methodActa Mechanica, 224
A. Mirzabeigy, R. Madoliat (2016)
Free vibration analysis of partially connected parallel beams with elastically restrained endsProceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science, 230
Z. Oniszczuk (2000)
Free Transverse Vibrations of Elastically Connected Simply Supported Double-Beam Complex SystemJournal of Sound and Vibration, 232
Ö. Civalek (2014)
Geometrically nonlinear dynamic and static analysis of shallow spherical shell resting on two-parameters elastic foundationsInternational Journal of Pressure Vessels and Piping, 113
M. Shariyat, M. Alipour (2011)
Differential transform vibration and modal stress analyses of circular plates made of two-directional functionally graded materials resting on elastic foundationsArchive of Applied Mechanics, 81
In this study, free transverse vibration of two parallel beams connected together through variable stiffness Winkler-type elastic layer is investigated. Euler–Bernoulli beam hypothesis has been applied and the support is considered to be translational and rotational elastic springs in each ends. Linear and parabolic variation has been considered for connecting layer. The equations of motion have been derived in the form of coupled differential equations with variable coefficients. The differential transform method has been applied to obtain natural frequencies and normalized mode shapes of system. Differential transform method is a semi-analytical approach based on Taylor expansion series which converts differential equations to recursive algebraic equations and does not need domain discretization. The results obtained from differential transform method have been validated with the results reported by well-known references in the case of two parallel beams connected through uniform elastic layer. The effects of variation type and total stiffness of connecting layer, flexural rigidity ratio of beams, and boundary conditions on behavior of system are investigated and discussed in detail.
Advances in Structural Engineering – SAGE
Published: Mar 1, 2017
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