caa a22 4500 39757259X CHVBK 20180308164845.0 cr unu---uuuuu 161202e199605 xx s 000 0 eng 10.1093/qjmam/49.2.163 doi (NATIONALLICENCE)oxford-10.1093/qjmam/49.2.163 CAO JINGJUN Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, California 94305-4040, USA COMPUTER-EXTENDED PERTURBATION SOLUTION FOR THE LARGE DEFLECTION OF A CIRCULAR PLATE. PART I: UNIFORM LOADING WITH CLAMPED EDGE [Elektronische Daten] [JINGJUN CAO] The idea of extending a regular perturbation series to high order by computer was borrowed from physicists by fluid mechanicians. Here it is applied for the first time to solid mechanics. Von Kármán's nonlinear plate equations are solved for uniform loading of a circular plate by expanding in powers of the maximum deflection to 110 terms. Analysis of the load-deflection series shows that convergence is limited by a non-physical square-root singularity. Mapping it away to infinity extends the range of convergence to infinity, and it is then possible to extract the asymptotic solution for extreme deflection, which agrees with the membrane solution © Oxford University Press Articles nationallicence The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/2(1996-05), 163-178 0033-5614 49:2<163 1996 49 qjmamj https://doi.org/10.1093/qjmam/49.2.163 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1093/qjmam/49.2.163 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- CAO JINGJUN Division of Applied Mechanics, Department of Mechanical Engineering, Stanford University, California 94305-4040, USA NATIONALLICENCE 773 0- The Quarterly Journal of Mechanics and Applied Mathematics Oxford University Press 49/2(1996-05), 163-178 0033-5614 49:2<163 1996 49 qjmamj Metadata rights reserved CC BY-NC-4.0 http://creativecommons.org/licenses/by-nc/4.0 nationallicence SWISSBIB 39757259X BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-oxford