Curvature-Displacement Resonance Transform Method on Clamped Orthotropic Plate under Concentrated Loading

International Journal of Civil Engineering

© 2019 by SSRG - IJCE Journal

Volume 6 Issue 2

Year of Publication : 2019

Authors : T.C. Nwofor and Nkanunye C. Ozuru-Douglas

10.14445/23488352/IJCE-V6I2P105

How to Cite?

T.C. Nwofor and Nkanunye C. Ozuru-Douglas, "Curvature-Displacement Resonance Transform Method on Clamped Orthotropic Plate under Concentrated Loading," SSRG International Journal of Civil Engineering, vol. 6,  no. 2, pp. 23-28, 2019. Crossref, https://doi.org/10.14445/23488352/IJCE-V6I2P105

Abstract:

This paper presents a unique solution to a clamped orthotropic rectangular plate's exact bending solution under concentrated loading. This new approach, which is the curvature-displacement resonance method, has become an effective tool in solving the plate problem, has gained so much attention lately. The problem of point load on the clamped orthotropic plate was successfully solved by this method. The deflection equation and results were separated into two categories under the sub-heading, the deflection at a point directly under the load application and the deflection at any point on the plate when the point load is stationed at the center of the plate. This method's accuracy was tested by comparing the results to values obtained via a previous researcher's finite integral transform method.

Keywords:

Curvature-displacement method, exact bending solution, clamped orthotropic plate, concentrated loading.

References:

[1] Timoshenko S., Woinowsky-Krieger S.Theory of plates and shells, Auckland, McGraw- Hill Book Company. (1959).
[2] Navier, C. L. M. H. Science Bulletin Philomarthique Society, Paris. (1923).
[3] Khalili, M.R., Malekzadeh, K, and Mittal, R.K. A new approach to static and dynamic analysis of compositeplates with different boundary conditions. Composite Structures, 69(8), (2005),149–155.
[4] Fu, B.L. Applications of the reciprocal theorem to solving the equations of the deflection surface of the rectangular plates with various edge conditions. Applied Mathematical Mechanics, 3,(1982), 353–364.
[5] Taylor, R. L. and Govindjee, S. Solution of clamped rectangular plate problems. Technical report: UCB/SEMM, University of California, Berkley, USA,.(2002).
[6] Yang, Z. and Qian, X. Analysis Bending Solutions of Clamped Rectangular Thick Plate. Mathematics Problems in Engineering, School of Civil and Hydraulics Engineering, Dalian University of Technology, Dalian,.(2017).
[7] Rui, L., Bin, T. and Yang, Z. Analytical bending solutions of free orthotropic rectangular thin plates under arbitrary loading. State Key Laboratory of Structural Analysis for Industrial Equipment, Department of Engineering Mechanics, Dalian University of Technology, Dalian,.(2013).
[8] Osadebe, N. N. and Aginam, C. H. Bending and analysis of Isotropic rectangular plate with all edges clamped: variational symbolic solution. Journal of Emerging Trends in Engineering and Applied Sciences., 2,(2011), 846-852.
[9] Nwofor, T.C. and Osere G. Bending solutions of fully clamped orthotropic rectangular thin plate using finite integral transform method. International Journal of Structural Mechanics and Finite Elements, 4(2),(2018),12-21.
[10] Nwofor, T.C. and Etafo, I. Analysis of fixed offshore platform deck using acceleration-deflection resonance method. International Journal of Structural Mechanics and Finite Elements, 4(1),(2018),28-35.
[11] Nwofor, T.C. and Nnoaham, B.C. Analysis of bridge deck for abnormal load using the acceleration-displacement ratio for a balcony function. SSRG International Journal of Civil Engineering, 5(3), (2018) ,35-41.
[12] Imrak, C. E. and Gerdemili, I. An exact solution for the deflection of a clamped rectangular plate under uniform load. J. Applied Mathematical Science, 1(43), (2007), 2129-2137.
[13] Schade, H. A.. Design Curves for cross stiffened plating under uniform bending load. Trans, SNAME, 49. (1942).
[14] Bidgoli, A., M., Daneshmehr, A., R., and Kolahchi, R.. Analytical bending solution of fully clamped orthotropic rectangular plates resting on elastic foundation by finite integral transform method. Journal of Applied and Computational Mechanics, 1(2), (2015), 52-58.