Dynamic analysis of an inclined Timoshenko beam traveled by successive moving masses/forces with inclusion of geometric nonlinearities

Mamandi, Ahmad; Kargarnovin, M. H.

doi:10.1007/s00707-010-0400-z

Cited by 27 publications

(21 citation statements)

References 26 publications

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“…Here, parameters c and q appearing in Eqs. (34) and (35) are assumed to be zero. In order to study the vibrational behaviors of the new model, normalization of the governing equations will be helpful.…”

Section: Free Vibrationmentioning

confidence: 99%

“…(39)-(41). The equilibrium equations (34) and (44) accompanied by the boundary conditions mentioned in Eq. (69) form a nonlinear boundary value problem for the hinged-hinged beam that is solved in this work by employing a finite-difference method with implementing a collocation formula for presenting the numerical results.…”

Section: Case Studymentioning

confidence: 99%

“…From another aspect, the more complicated Timoshenko beam model in which the shearing deformation is taken into account results in more accurate results than the Euler-Bernoulli beam model. As a consequence, many researchers have provided formulation and results based on the Timoshenko model [26,[31][32][33][34][35][36].…”

Section: Introductionmentioning

confidence: 99%

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A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory

et al. 2012

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The geometrically nonlinear governing differential equations of motion and the corresponding boundary conditions are derived for the mechanical analysis of Timoshenko microbeams with large deflections, based on the strain gradient theory. The variational approach is employed to achieve the formulation. Hinged-hinged beams are considered as an important practical case, and their nonlinear static and free-vibration behaviors are investigated based on the derived formulation.

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Section: Free Vibrationmentioning

confidence: 99%

Section: Case Studymentioning

confidence: 99%

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A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory

et al. 2012

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“…Wang and Chou in [5] analyzed the problem of a mass moving on a beam and studied the influence of the beam's nonlinearity and mass on the response of the structure. Also Mamandi and Kargarnovin [6] analyzed the behaviour of an isotropic prismatic Timoshenko beam loaded with a moving mass. In [7] Simsek presented an analysis of the nonlinear behaviour of the Timoshenko beam under a moving harmonic load.…”

Section: Introductionmentioning

confidence: 99%

Nonlinear analysis of nonprismatic Timoshenko beam for different geometric nonlinearity models

Ruta

Szybiński

2015

International Journal of Mechanical Sciences

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“…The extensive studies of nonlinear dynamical characteristics of thin or thick beams under moving masses/forces were investigated in several works (Mamandi et al, 2010a(Mamandi et al, ,b, 2013Mamandi and Kargarnovin, 2011a,b, 2013, 2014. A procedure incorporating the finite strip method together with a spring system was developed and applied to treat the response of rectangular plate structures resting on an elastic foundation due to moving accelerated loads by Huang and Thambiratnam (2001).…”

Section: Introductionmentioning

confidence: 99%

Nonlinear dynamic analysis of a rectangular plate subjected to accelerated/decelerated moving load

Mamandi

Mohsenzadeh

Kargarnovin

2015

jtam

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In this paper, nonlinear dynamical behavior of a rectangular plate traveled by a moving mass as well as an equivalent concentrated force with non-constant velocity is studied. The nonlinear governing coupled partial differential equations (PDEs) of motion are derived by energy method using Hamilton's principle based on the large deflection theory in conjuncture with the von-Karman strain-displacement relations. Then Galerkin's method is used to transform the equations of motion into a set of three coupled nonlinear ordinary differential equations (ODEs) which then is solved in a semi-analytical way to get the dynamical response of the plate. Also, by using the Finite Element Method (FEM) with ANSYS software, the obtained results in nonlinear form are verified by FEM results. Then, a parametric study is conducted by changing the size of moving mass/force and the velocity of the traveling mass/force with a constant acceleration/deceleration, and the outcome nonlinear results are compared to the results from linear solution.

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Dynamic analysis of an inclined Timoshenko beam traveled by successive moving masses/forces with inclusion of geometric nonlinearities

Cited by 27 publications

References 26 publications

A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory

A size-dependent nonlinear Timoshenko microbeam model based on the strain gradient theory

Nonlinear analysis of nonprismatic Timoshenko beam for different geometric nonlinearity models

Nonlinear dynamic analysis of a rectangular plate subjected to accelerated/decelerated moving load

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