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.
A Novel Technique in the Solution of Axisymmetric Large Deflection Analysis of a Circular Plate
Contributed by the Applied Mechanics Division of THE AMERICAN SOCIETY OF MECHANICAL ENGINEERS for publication in the ASME JOURNAL OF APPLIED MECHANICS. Manuscript received by the ASME Applied Mechanics Division, Nov. 1, 2000; final revision, Mar. 13, 2001. Associate Editor: A. K. Mal.
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Ramachandra, L. S., and Roy , D. (March 13, 2001). "A Novel Technique in the Solution of Axisymmetric Large Deflection Analysis of a Circular Plate ." ASME. J. Appl. Mech. September 2001; 68(5): 814–816. https://doi.org/10.1115/1.1379039
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