2026-09-21T17:39:01Z https://www.ideals.illinois.edu/oai-pmh

oai:www.ideals.illinois.edu:2142/20434 2023-07-10 col_2142_5131 col_2142_10761 com_2142_5130 com_2142_10755 com_2142_234

Made available in DSpace on 2011-05-07T12:39:06Z (GMT). No. of bitstreams: 2 license.txt: 4922 bytes, checksum: 910b249b4beec47e7ab768910c8f966f (MD5) 9702522.pdf: 4285876 bytes, checksum: dd85057283df0e1fc7235fa09e837f06 (MD5) Previous issue date: 1996 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by Howard Ding (hding2@illinois.edu) on 2011-05-07T14:43:52Z Item is restricted indefinitely. Vaidya, Pravin M. Gaur, Rajeeva 2011-05-07T12:39:06Z 2011-05-07T12:39:06Z 10000-01-01 1996 Circular membranes and circular plates are used in several types of equipments. For the better design of these equipments an accurate computation of the stresses and the displacements in circular membranes and circular plates are very important. Since larger loads on membranes (plates) leads to stresses as nonlinear functions of displacements, little is known about the existence and the uniqueness of the solution even for the case where a circular membrane (plate) is subjected to axisymmetric transverse loads and axisymmetric boundary conditions. Membranes are a limiting case of the plates where the bending stiffness of the plate goes to zero. In this thesis, a variational formulation is obtained for the problem of moderately large deflections in circular membranes subjected to axisymmetric transverse loads and axisymmetric boundary conditions. For this variational formulation, unique stresses and displacements are shown to exist under quite general loading conditions. And, the variational formulation is cast as a constrained convex optimization problem. Furthermore, an algorithm for computing the stresses and a procedure for obtaining the displacements from the stresses is given. Unique stresses and displacements are also shown to exist for the problem of moderately large deflections in circular plates subjected to axisymmetric transverse loads and axisymmetric boundary conditions. And, an algorithm for computing the stresses and the corresponding displacements from the stresses is given. Restriction data tranferred 2014-07-01T11:19:14-05:00 Original Data Group with Access UIUC Users [automated] Release Date: none Reason: ETDs are only available to UIUC Users without author permission ETDs are only available to UIUC Users without author permission U of I Only 9780591086881 AAI9702522 (UMI)AAI9702522 http://hdl.handle.net/2142/20434 eng Copyright 1996 Gaur, Rajeeva Applied Mechanics Engineering, Civil Engineering, Mechanical A convex optimization approach for moderately large deflection problems in circular membranes and circular paths text Computer Science Computer Science University of Illinois at Urbana-Champaign Dissertation Ph.D.