Free vibration of cantilevered arbitrary triangular Mindlin plates

International Journal of Mechanical Sciences - Tập 38 - Trang 431-442 - 1996
W. Karunasena1, S. Kitipornchai1, F.G.A. Al-Bermani1
1Department of Civil Engineering, The University of Queensland, Brisbane, Queensland 4072, Australia

Tài liệu tham khảo

Andersen, 1954, Vibration of triangular cantilever plates by the Ritz method, J. Appl. Mech., 21, 365, 10.1115/1.4010935 Cox, 1955, Fundamental frequencies of clamped triangular plates, J. Acoustical Soc. Amer., 27, 266, 10.1121/1.1907511 Christensen, 1963, Vibration of a 45° right angle triangular cantilever plate by a gridwork method, AIAA J., 1, 1790, 10.2514/3.1926 Bucco, 1979, Vibration analysis of plates of arbitrary shape—a new approach, J. Sound Vibr., 67, 253, 10.1016/0022-460X(79)90488-7 Kuttler, 1981, Upper and lower bounds for frequencies of trapezoidal and triangular plates, J. Sound Vibr., 78, 585, 10.1016/S0022-460X(81)80127-7 Mirza, 1983, Vibration of triangular plates, AIAA J., 21, 1472, 10.2514/3.60149 Gorman, 1983, A highly accurate analytical solution for free vibration analysis of simply supported right triangular plates, J. Sound Vibr., 89, 107, 10.1016/0022-460X(83)90914-8 Gorman, 1986, Free vibration analysis of right triangular plates with combinations of clamped-simply supported boundary conditions, J. Sound Vibr., 106, 419, 10.1016/0022-460X(86)90189-6 Gorman, 1987, A modified superposition method for free vibration analysis of right triangular plates, J. Sound Vibr., 112, 173, 10.1016/S0022-460X(87)80101-3 Gorman, 1989, Accurate free vibration analysis of right triangular plates with one free edge, J. Sound Vibr., 131, 115, 10.1016/0022-460X(89)90827-4 Utjes, 1985, Transverse vibrations of right triangular plates having the hypotenuse free, J. Sound Vibr., 102, 445, 10.1016/S0022-460X(85)80156-5 Bhat, 1987, Flexural vibration of polygonal plates using characteristic orthogonal polynomials in two variables, J. Sound Vibr., 114, 65, 10.1016/S0022-460X(87)80234-1 Gustafson, 1953, An experimental study of natural vibrations of cantilevered triangular plates, J. Aeronaut. Sci., 20, 331, 10.2514/8.2635 Kumaraswamy, 1956, Experimental study of vibration of cantilevered isosceles triangular plates, J. Sci. Ind. Res. (India), 15B, 54 Leissa, 1969 Leissa, 1977, Recent research in plate vibrations: classical theory, The Shock and Vibration Digest, 9, 13, 10.1177/058310247700901005 Leissa, 1981, Plate vibration research: 1976–1980: classical theory, The Shock and Vibration Digest, 13, 11, 10.1177/058310248101300905 Leissa, 1987, Recent research in plate vibrations: 1981–1985: Part 1, classical theory, The Shock and Vibration Digest, 19, 11, 10.1177/058310248701900204 Kim, 1990, The free flexural vibration of right triangular isotropic and orthotropic plates, J. Sound Vibr., 141, 291, 10.1016/0022-460X(90)90841-M Lam, 1990, Free vibration analysis of isotropic and orthotropic triangular plates, Int. J. Mech. Sci., 32, 455, 10.1016/0020-7403(90)90172-F Kim, 1992, The free flexural vibration of isotropic and orthotropic general triangular shaped plates, J. Sound Vibr., 152, 383, 10.1016/0022-460X(92)90477-F Singh, 1992, Transverse vibration of triangular plates using characteristic orthogonal polynomials in two variables, Int. J. Mech. Sci., 34, 947, 10.1016/0020-7403(92)90064-N McGee, 1992, Vibrations of cantilevered skewed trapezoidal and triangular plates with corner stress singularities, Int. J. Mech. Sci., 34, 63, 10.1016/0020-7403(92)90054-K Reissner, 1945, The effect of transverse shear deformation on the bending of elastic plates, J. Appl. Mech., 12, 69, 10.1115/1.4009435 Mindlin, 1951, Influence of rotary inertia and shear in flexural motion of isotropic elastic plates, J. Appl. Mech., 18, 31, 10.1115/1.4010217 Kitipornchai, 1993, Free vibration of isosceles triangular Mindlin plates, Int. J. Mech. Sci., 35, 89, 10.1016/0020-7403(93)90068-6 McGee, 1992, Natural vibrations of shear deformable cantilevered skewed trapezoidal and triangular thick plates, Computers and Structures, 45, 1033, 10.1016/0045-7949(92)90060-D Garbow, 1977, 24