Bending of a clamped elliptical plate under the combined action of uniform lateral load and in-plane force

Theoretical and Applied Mechanics Japan

Volumn 53, Issue , 2004, Pages 37-47

  Sato, Kenzo ^a  

^a AKITA UNIVERSITY   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

IN-PLANE FORCE; MATHIEU FUNCTIONS; SMALL-DEFLECTION THEORY; UNIFORM LATERAL LOADS;

APPROXIMATION THEORY; ASPECT RATIO; BENDING (DEFORMATION); BENDING MOMENTS; BOUNDARY CONDITIONS; COMPRESSIVE STRENGTH; DIFFERENTIAL EQUATIONS; NUMERICAL ANALYSIS; STRUCTURAL LOADS;

PLATES (STRUCTURAL COMPONENTS);

EID: 21344456746     PISSN: 13480693     EISSN: None     Source Type: Conference Proceeding    
DOI: None     Document Type: Article

References (14)

1. Timoshenko, S.P. and Woinowsky-Krieger, S., Theory of Plates and Shells, 2nd ed. (McGraw-Hill Book Co., 1959), pp.311, 378-395.
2. Love, A.E.H., Mathematical Theory of Elasticity, 4th ed. (Dover 1944), p.486.
3. Basuli, S., Bending of Elliptical Plates under Simultaneous Action of Lateral Load and Force in the Middle Plane of the Plate. Bull. Calcutta Math. Soc. 54 (1962), pp.203-209.
4. Saito, A., Kimura, S. and Shimazaki, T., Bending of Elliptic Plates under a Concentrated Load. Bull. of JSME 2-6 (1959), pp.299-305.
5. Ng, S.F., Finite Deflection of Elliptical Plates on Elastic Foundations. AIAA J. 8-7 (1970), pp.1363-1365.
6. Datta, S., Large Deflections of Elliptic Plates Exhibiting Rectilinear Orthotropy and Placed on Elastic Foundation. Trans. ASME, J. Appl. Mech. 43 (1976), pp.690-692.
7. Mansfield, E.H., Analysis of Unbalanced Multi-layered Elliptical Plates under Linearly varying Pressure. Int. J. Mech. Sci. 32-5 (1990), pp.417-422.
8. Vasilenko, A.T., Bending of an Anisotropic Elliptical Plate on an Elastic Foundation. Int. Appl. Mech. 38-3 (1996), pp.351-355.
9. Laura, P.A.A. and Rossit, C.A., Thermal Bending of Thin, Anisotropic, Clamped Elliptic Plates. Ocean Eng. 29 (1999), pp.485-488.
10. Sato, K., Vibration and Buckling of a Clamped Elliptical Plate on Elastic Foundation and under Uniform Inplane Force. Theor. and Appl. Mech. 51 (2001), pp.49-62.
11. Shibaoka, Y., On the Buckling of an Elliptical Plate with Clamped Edge I. J. Phys. Soc. Japan. 11-10 (1956), pp.1088-1091.
12. Shibaoka, Y., On the Buckling of an Elliptical Plate with Clamped Edge II. J. Phys. Soc. Japan. 12-5 (1957), pp.529-532.
13. McLachlan, N.W., Theory and Application of Mathieu Function (Dover 1964).
14. McLachlan, N.W., Bessel Functions for Engineers, 2nd ed. (Oxford University Press 1955).