Refine your search
Collections
Co-Authors
Year
A B C D E F G H I J K L M N O P Q R S T U V W X Y Z All
Ghomeshi Bozorg, M.
- Stability Analysis of Nonlinear Time Varying System of Beam-moving Mass Considering Friction Interaction
Abstract Views :430 |
PDF Views:0
Authors
Affiliations
1 Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, IR
1 Department of Mechanical Engineering, Isfahan University of Technology, Isfahan, IR
Source
Indian Journal of Science and Technology, Vol 6, No 11 (2013), Pagination: 5459–5468Abstract
In this paper, a new analysis is performed on dynamic behavior of beam-moving mass system, considering all the linear and nonlinear inertia terms of the moving mass as well as the friction between the beam and the mass. The partial deferential governing equation is transferred to a discretized form, using Galerkin method. Then the Homotopy perturbation method is used to solve the nonlinear time varying discretized equation of motion. In addition to the approximate analytic solution of the equation, the border line of stable and unstable regions and the resonance curves in the mass-velocity parametric plane are determined semi-analytically. The numerical simulation is used to verify these new finding from the analysis.Keywords
Beam-moving Mass, Homotopy Perturbation Method, Nonlinear Time Varying SystemFull Text
References
- Yau J D, and Fryba L (2007). Responses of suspended beam due to moving loads and vertical seismic ground excitation, Engineering Structures, vol 29(12), 3255–3262.
- Yau J D (2009). Dynamic response analysis of suspended beams subjected to moving vehicles and multiple support excitations, Journal of Sound and Vibration, vol 325(4–5), 907–922.
- Garinei A, and Risitano G (2008). Vibration of railway bridges for high speed trains under moving loads varying in time, Engineering Structures, vol 30(3), 724–732.
- Ju S H, Lin H T et al. (2009). Dominant frequencies of train-induced vibrations, Journal of Sound and Vibration, vol 319(1–2), 247–259.
- Yang Y B, Wu C M et al. (2001). Dynamic responses of a horizontally curved beam subjected to vertical and horizontal moving loads, Journal of Sound and Vibration, vol 242(3), 519–537.
- Yang Y B, Lin C L et al. (2004). Mechanism of resonance and cancellation for train-induced vibrations on bridges with elastic bearings, Journal of Sound and Vibration, vol 269(1–2), 345–360.
- Yau J D, and Yang Y B (2006). Vertical accelerations of simple beams due to successive loads traveling at resonant speeds, Journal of Sound and Vibration, vol 289(1–2), 210–228.
- Ruzzene M, and Baz A (2006). Dynamic stability of periodic shells with moving loads, Journal of Sound and Vibration, vol 296(4–5), 830–844.
- Verichev S N, and Metrikine A V (2002). Instability of a bogie moving on flexibly supported timoshenko beam, Journal of Sound and Vibration, vol 253(3), 635–668.
- Verichev S N, and Metrikine A V (2003). Instability of vibrations of mass that moves uniformly along a beam on a periodically inhomogeneous foundation, Journal of Sound and Vibration, vol 260(5), 901–925.
- Wang J F, Lin C C et al. (2003). Vibration suppression for high-speed railway bridges using tuned mass dampers, International Journal of Solids and Structures, vol 40(2), 465–491.
- Rao G V (2000). Linear dynamics of an elastic beam under moving loads, Journal of Vibration and Acoustic, vol 122(3), 281–289.
- Wang Y M (2002). The dynamic analysis of a beam-mass system due to the occurrence of two-component parametric response, Journal of Sound and Vibration, vol 258(5), 951–967.
- Zheng D Y, and Fan S C (2002). Instability of vibration of a moving-train-and-rail coupling system, Journal of Sound and Vibration, vol 255(2), 243–259.
- Ahmadian M T, Mojahedi M et al. (2009). Free vibration analysis of a nonlinear beam using homotopy and modified lindstedt-poincare methods, Journal of Solid Mechanics, vol 1, 29–36.
- Pirbodaghi T, Ahmadian M T et al. (2009). On the homotopy analysis method for non-linear vibration of beams, Mechanics Research Communications, vol 36(2), 143–148.
- Ganji S S, Ganji D D et al. (2010). Application of AFF and HPM to the systems of strongly nonlinear oscillation, Current Applied Physics, vol 10(5), 1317–1325.
- Cveticanin L (2009). Application of homotopy-perturbation to non-linear partial differential equations, Chaos, Solitons and Fractals, vol 40(1), 221–228.
- Temimi H, Ansari A R et al. (2011). An approximate solution for the static beam problem and nonlinear integro-differential equations, Computers and Mathematics with Applications, vol 62(8), 3132–3139.
- Wang J, Chen J K et al. (2008). An explicit solution of the large deformation of a cantilever beam under point load at the free tip, Journal of Computational and Applied Mathematics, vol 212(2), 320–330.
- Hoseini S H, Pirbodaghi T et al. (2009). On the large amplitude free vibrations of tapered beams: an analytical approach, Mechanics Research Communications, vol 36(8), 892–897.
- Rafiq A, Malik M Y et al. (2010). Solution of nonlinear pull-in behavior in electrostatic micro-actuators by using
- He’s homotopy perturbation method, Computers and Mathematics with Applications, vol 59(8), 2723–2733.
- Pirbodaghi T, Fesanghary M et al. (2011). Non-linear vibration analysis of laminated composite plates resting on nonlinear elastic foundations, Journal of the Franklin Institute, vol 348(2), 353–368.
- Ozis T, and Yildirim A (2007). A comparative study of He’s homotopy perturbation method for determining frequency-amplitude relation of a nonlinear oscillator with discontinuities, International Journal of Nonlinear Sciences and Numerical Simulation, vol 8(2), 243–248.