report
Thin-Walled Structures 48 (2010) 879–887
Contents lists available at ScienceDirect
Thin-Walled Structures journal homepage: www.elsevier.com/locate/tws
Analytical solution to flexural responses of annular sector thin-plates
Kyungsik Kim a, Chai H. Yoo b,n a b
Department of Civil and Environmental Engineering, Cheongju University, Cheongju, Chungbuk, 360-764, Republic of Korea
Department of Civil Engineering, Auburn University, Auburn, AL 36849-5337, USA
a r t i c l e in fo
abstract
Article history:
Received 11 February 2010
Accepted 11 May 2010
Available online 12 June 2010
A novel analytical solution is presented for the flexural response of annular sector thin-plates. An exact solution has been developed in the series form including trigonometric and exponential functions in the polar coordinate system for annular sector plates subjected to uniform loading. The salient feature of the solution development includes the derivation of a closed-form solution for the fourth-order partial differential equation governing plate deflections in the polar coordinate system.
The series solution developed in this study is not only very stable but also exhibits rapid convergence. To demonstrate the convergence and accuracy of the present method, several examples with various sector angles are selected and analyzed. Deflections and moments of example sector plates by the proposed solution are compared with those obtained by other analytical studies and then verified by numerical values evaluated by a commercial finite element analysis program, ABAQUS.
Excellent agreements have been found between the results from the proposed analytical closed-form solution and numerical runs, thereby confirming the superior nature of the proposed method over other classical analytical techniques.
& 2010 Elsevier Ltd. All rights reserved.
Keywords:
Annular sector plate
Elastic deflection
Analytical solution
A closed-form solution
Finite element
Contents lists available at ScienceDirect
Thin-Walled Structures journal homepage: www.elsevier.com/locate/tws
Analytical solution to flexural responses of annular sector thin-plates
Kyungsik Kim a, Chai H. Yoo b,n a b
Department of Civil and Environmental Engineering, Cheongju University, Cheongju, Chungbuk, 360-764, Republic of Korea
Department of Civil Engineering, Auburn University, Auburn, AL 36849-5337, USA
a r t i c l e in fo
abstract
Article history:
Received 11 February 2010
Accepted 11 May 2010
Available online 12 June 2010
A novel analytical solution is presented for the flexural response of annular sector thin-plates. An exact solution has been developed in the series form including trigonometric and exponential functions in the polar coordinate system for annular sector plates subjected to uniform loading. The salient feature of the solution development includes the derivation of a closed-form solution for the fourth-order partial differential equation governing plate deflections in the polar coordinate system.
The series solution developed in this study is not only very stable but also exhibits rapid convergence. To demonstrate the convergence and accuracy of the present method, several examples with various sector angles are selected and analyzed. Deflections and moments of example sector plates by the proposed solution are compared with those obtained by other analytical studies and then verified by numerical values evaluated by a commercial finite element analysis program, ABAQUS.
Excellent agreements have been found between the results from the proposed analytical closed-form solution and numerical runs, thereby confirming the superior nature of the proposed method over other classical analytical techniques.
& 2010 Elsevier Ltd. All rights reserved.
Keywords:
Annular sector plate
Elastic deflection
Analytical solution
A closed-form solution
Finite element
References: 2007;45(2007):983–90. Structures 2001;79(2001):2335–48.