×

Buckling of thick skew plates. (English) Zbl 0772.73042

Based on the principle of stationary total potential energy and the recently developed pb-2 Rayleigh-Ritz method as a solution procedure, buckling solutions for skew plates of various aspect ratios, skew angles and boundary conditions are determined.

MSC:

74G60 Bifurcation and buckling
74K20 Plates
74S30 Other numerical methods in solid mechanics (MSC2010)
74P10 Optimization of other properties in solid mechanics
Full Text: DOI

References:

[1] Salvadori, Proc. ASCE 75 pp 1441– (1949)
[2] ’The buckling of uniformly compressed parallelogram plates having all edges clamped’, Report. SM 172, Aeronautical Research Laboratories, Melbourne, Australia, 1951.
[3] Wittrick, Aeronaut. Quart. 4 pp 151– (1953) · doi:10.1017/S0001925900000846
[4] Wang, J. Eng. Mech. ASCE 118 pp 651– (1992)
[5] Hermann, J. Eng. Mech. Div. ASCE 127 pp 458– (1962)
[6] Srinivas, AIAA J. 7 pp 1645– (1969)
[7] Srinivas, Int. J. Solids Struct. 6 pp 1463– (1970)
[8] Rao, Comp. Struct. 5 pp 257– (1975)
[9] Numerical Methods and Software for Dynamic Analysis of Plates and Shells, Pineridge Press, Swansea, 1982.
[10] Dumir, J. Appl. Mech. 52 pp 725– (1985)
[11] Roufacil, J. Sound Vib. 85 pp 263– (1982)
[12] Ziegler, Ing. Archiv 53 pp 61– (1982)
[13] Kanaka Raju, Comput. Struct. 22 pp 307– (1986)
[14] Senthilnathan, AIAA J. 25 pp 1268– (1987)
[15] Wang, Int. J. Solids Struct. 30 pp 1– (1993)
[16] Mindlin, J. Appl. Mech. 18 pp 1031– (1951)
[17] and , ’pb-2 Rayleigh-Ritz method for general plate analysis’, Eng. Struct., 14 (in press).
[18] Reissner, J. Appl. Mech. ASME 12 pp 69– (1945)
[19] Static and Dynamics Analyses of Plates and Shells. Springer, Berlin, 1989. · doi:10.1007/978-1-4471-1669-1
[20] Mizusawa, Eng. Struct. 12 pp 285– (1990)
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.