Simple Solutions for Buckling of Conical Shells Composed of Functionally Graded Materials
محورهای موضوعی : Engineering
A Lavasani
1
(Department of Mechanical Engineering, Islamic Azad University, Arak Branch)
کلید واژه: Buckling, Axial load, Functionally graded material, Conical shells,
چکیده مقاله :
Using Donnell-type shell theory a simple and exact procedure is presented for linear buckling analysis of functionally graded conical shells under axial compressive loads and external pressure. The solution is in the form of a power series in terms of a particularly convenient coordinate system. By analyzing the buckling of a series of conical shells, under various boundary conditions and different material coefficients, the validity of the presented procedure is confirmed.
[1] Siede, P., Calif, L.A., 1956, Axisymetric buckling of circular cones under axial compression, ASME Transactions, Journal of Applied Mechanics 23: 625-628.
[2] Lackman L., Renzien J., 1960, Buckling of circular cones under axial comperession, ASME Transactions, Journal of Applied Mechanics 27: 458-460.
[3] Singer J., 1961, Buckling of circular conical shells under axisymmetrical external pressure, Journal of Mechanical Engineering Science 3: 330-339.
[4] Singer J., 1965, Buckling of circular conical shells under uniform axial compression, AIAA Journal 3: 985-987.
[5] Weigarten V.I., Seide P., 1965, Elastic stability of thin walled cylindrical and conical shells under combined external pressure and axial compression, AIAA Journal 3: 913-920.
[6] Weigarten V.I., Seide P., 1965, Elastic stability of thin walled cylindrical and conical shells under combined external pressure and axial compression, AIAA Journal 3: 1118-1125.
[7] Baruch M., Harari O., Singer J., 1970, Low buckling loads of axially compressed conical shells, ASME Transactions, Journal of Applied Mechanics 37: 384-392.
[8] Tani J., Yamaki Y., 1970, Buckling of truncated conical shells under axial compression, AIAA Journal 8: 568-570.
[9] Singer J., 1966, Buckling of damped conical shells under external pressure, AIAA Journal 4, 328-337.
[10] Baruch M., Singer J., 1965, General instability of stiffened conical shells under hydrostatic pressure, Aeronautics Quarterly 26: 187-204.
[11] Weigarten V.I., Morgan E.J., Seide P., 1965, Elastic stability of thin walled cylindrical and conical shells under axial compression, AIAA Journal 3: 500-505.
[12] Tong Liyong, 1988, Buckling and vibration of conical shells composed of composite materials, Ph.D. Thesis, Beijing University of Aeronautics and astronautics.
[13] Reddy J. N., Praveen G. N., 1998, Nonlinear transient thermoelastic analysis of functionally graded ceramic-metal plates, International Journal of Solids and Structures 35: 4467-4476.
[14] Tong L., Tabarrok B., Wang T.K., 1992, Simple solution for buckling of orthotropic conical shells, International Journal of Solids and Structures 29: 933-946.
