tailieunhanh - Analytical solutions for bending, buckling and vibration analysis of functionally graded cylindrical panel

The main purpose of this article is to present analytical solutions for bending, buckling and free vibration analysis of cylindrical panel, which are composed of functionally graded materials (FGMs). Equations of motion are derived using Hamilton’s principle. | Vietnam Journal of Science and Technology 55 (5) (2017) 587-597 DOI: ANALYTICAL SOLUTIONS FOR BENDING, BUCKLING AND VIBRATION ANALYSIS OF FUNCTIONALLY GRADED CYLINDRICAL PANEL Duong Thanh Huan1, *, Tran Minh Tu2, Tran Huu Quoc2 1 2 Vietnam National University of Agriculture, Trau Quy, Gia Lam, Ha Noi, Vietnam University of Civil Engineering, 55 Giai Phong Road, Hai Ba Trưng District, Ha Noi, Vietnam * Email: duongthanh49@ Received: 7 November 2016; Accepted for publication: 21 February 2017 ABSTRACT The main purpose of this article is to present analytical solutions for bending, buckling and free vibration analysis of cylindrical panel, which are composed of functionally graded materials (FGMs). Equations of motion are derived using Hamilton’s principle. The first-order shear deformation theory is used for developing Navier’s solutions of simply supported cylindrical panel. Comparison studies are presented to verify the validity of present solution. It is found that the presented results are close to those existing. The effect of volume fraction distributions, panel aspect ratio, and side-to-thickness ratio on the deflections, buckling loads and natural frequencies is also investigated. Keywords: functionally graded cylindrical shell, shear deformation theory, bending, buckling, vibration. 1. INTRODUCTION The concept of FGM was proposed in 1984 by Japanese’s scientists as a new class of materials that can resist high temperature. Since then FGMs are being increasingly used in the aeronautical and aerospace industry as well as in other fields of modern technology. FGMs are microscopically inhomogeneous, that exhibit continuous variation of material properties from one surface to another and thus eliminate the stress concentration generally found in conventional laminated composites. The fact shows that having a good understanding of the structural and dynamic behavior such as the deformation characteristic, natural .