A Novel Technique in the Solution of Axisymmetric Large Deflection Analysis of a Circular Plate

Author:

Ramachandra L. S.1,Roy D.1

Affiliation:

1. Department of Civil Engineering, Indian Institute of Technology, Kharagpur 721 302, India

Abstract

In the present paper a new linearization technique referred to as the locally transversal linearization (LTL) is used for large deflection analyses of axisymmetric circular plates. The LTL procedure, where solution manifolds of linearized equations are made to intersect transversally those of the nonlinear ordinary differential equations, reduces the given set of nonlinear ordinary differential equations to a set of nonlinear algebraic equations in terms of a descretized set of unknown response vectors.

Publisher

ASME International

Subject

Mechanical Engineering,Mechanics of Materials,Condensed Matter Physics

Reference5 articles.

1. Ramachandra, L. S., and Roy, D., 2000, “A New Method for Non-linear Two-Point Boundary Value Problems in Solid Mechanics,” ASME J. Appl. Mech., in press.

2. Timoshenko, S. P., and Woinowsky-Kreiger, S., 1959, Theory of Elastic Plates and Shells, 2nd Ed., McGraw-Hill, New York.

3. Ortega, J. M., and Rheinboldt, W. C., 1970, Iterative Solutions of Non-Linear Equations in Several Variables, Academic Press, San Diego, CA.

4. Way, S. , 1934, “Bending of Circular Plates with Large Deflections,” ASME J. Appl. Mech., 56, pp. 627–636.

5. Federhofer, K., and Egger, H., 1946, “Berechnung der dunnen Kreisplatte mit grosser Ausbiegung,” Sitzungsber. Akad. Wiss. Wien, Math.-Naturwiss. Kl., Abt. 2B, 155, No. 2a, pp. 15–43.

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