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

被引：9

作者：

Mamandi, Ahmad ^{[1
]}

Mohsenzadeh, Ruhollah ^{[2
]}

Kargarnovin, Mohammad H. ^{[3
]}

机构：

[1] Department of Mechanical Engineering, Parand Branch, Islamic Azad University, Tehran

[2] Department OfMechanical AndAerospace Engineering, Science and Research Branch, Islamic Azad University, Tehran

[3] Department of Mechanical Engineering, Sharif University of Technology, Tehran

来源：

Journal of Theoretical and Applied Mechanics (Poland) | 2015年 / 53卷 / 01期

关键词：

Accelerated/decelerated motion; Moving load; Nonlinear dynamic; Plate;

D O I：

10.15632/jtam-pl.53.1.151

中图分类号：

学科分类号：

摘要：

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.

引用

页码：151 / 166

页数：15

共 26 条

[1]

Amabili M., Nonlinear vibrations of rectangular plates with different boundary conditions: Theory and experiments, Computers and Structures, 82, pp. 2587-2605, (2004)

[2]

Eftekhari S.A., Jafari A.A., Vibration of an initially stressed rectangular plate due to an accelerated traveling mass, Scientia Iranica, 19, 5, pp. 1195-1213, (2012)

[3]

Esan I., A new finite element for transverse vibration of rectangular thin plates under a moving mass, Finite Elements in Analysis and Design, 66, pp. 26-35, (2013)

[4]

Fryba L., Vibration of Solids and Structures under Moving Loads, London Thomas Telford Publishing, (1999)

[5]

Gbadeyan J.A., Dada M.S., Dynamic response of a mindlin elastic rectangular plate under a distributed moving mass, International Journal of Mechanical Science, 48, pp. 323-340, (2006)

[6]

Ghafoori E., Sghari M.A., Dynamic analysis of laminated composite plates traversed by a moving mass based on a first-order theory, Composite Structures, 92, pp. 1865-1876, (2010)

[7]

Ghafoori E., Kargarnovin M.H., Ghahremani A.R., Dynamic responses of rectangular plate under motion of an oscillator using a semi-Analytical method, Journal of Vibration and Control, 17, 9, pp. 1310-1324, (2010)

[8]

Huang M.H., Thambiratnam D.P., Deflection response of plate on winkler foundation to moving accelerated loads, Engineering Structures, 23, pp. 1134-1141, (2001)

[9]

Law S.S., Bu J.Q., Zhu Z.Q., Chan S.L., Moving load identification on a simply supported orthotropic plate, International Journal of Mechanical Science, 49, pp. 1262-1275, (2007)

[10]

Leissa A.W., Vibration of Plates, (1969)

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