{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T15:27:40Z","timestamp":1787239660729,"version":"build-2736575974"},"reference-count":11,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"4","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM Rev."],"published-print":{"date-parts":[[1993,12]]},"abstract":"<jats:p>Steady-state nonlinear differential equations governing the stem curve of a wind-loaded palm are derived and solved numerically. Comparisons are made between the computed results and data from photographs of a palm stem during an episode of Santa Ana winds. Three approximate solutions are also developed. Two of the solutions are based on linearization of the governing equations\u2014the first being expressible in terms of Airy functions and integrals. The third solution preserves the nonlinear terms in the problem and involves Jacobian elliptic functions and integrals.<\/jats:p>","DOI":"10.1137\/1035135","type":"journal-article","created":{"date-parts":[[2005,3,7]],"date-time":"2005-03-07T02:32:15Z","timestamp":1110162735000},"page":"567-579","source":"Crossref","is-referenced-by-count":7,"title":["On the Stem Curve of a Tall Palm in a Strong Wind"],"prefix":"10.1137","volume":"35","author":[{"given":"Donald F.","family":"Winter","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"351","published-online":{"date-parts":[[2006,7,12]]},"reference":[{"key":"R1","first-page":"65","author":"Greenhill A. G.","year":"1881","journal-title":"Cambridge Philos. Soc. Proc."},{"key":"R2","volume-title":"Theory of elastic stability","author":"Timoshenko S. P.","year":"1961"},{"key":"R3","volume-title":"A Treatise on the Mathematical Theory of Elasticity","author":"Love A. E. H.","year":"1927"},{"key":"R4","first-page":"433","volume":"16","author":"Keller Joseph B.","year":"1966","journal-title":"J. Math. Mech."},{"key":"R5","doi-asserted-by":"crossref","DOI":"10.1093\/oso\/9780198545729.001.0001","volume-title":"The Structural Biology of Palms","author":"Tomlinson P. B.","year":"1990"},{"key":"R6","doi-asserted-by":"publisher","DOI":"10.1086\/337626"},{"key":"R7","unstructured":"USDA wood handbook: wood as an engineering material,  1974, Forest Products Lab., Forest Service, Agric. Handbook, 74"},{"key":"R8","volume-title":"Applied Fluid Dynamics Handbook","author":"Blevins R. D.","year":"1984"},{"key":"R9","volume-title":"Handbook of mathematical functions with formulas, graphs, and mathematical tables","author":"Abramowitz Milton","year":"1964"},{"key":"R10","volume-title":"Table of integrals, series, and products","author":"Gradshteyn I. S.","year":"1980"},{"key":"R11","volume-title":"An Atlas of Functions","author":"Spanier J.","year":"1987"}],"container-title":["SIAM Review"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/1035135","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,20]],"date-time":"2026-08-20T14:44:14Z","timestamp":1787237054000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/1035135"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,12]]},"references-count":11,"journal-issue":{"issue":"4","published-print":{"date-parts":[[1993,12]]}},"alternative-id":["10.1137\/1035135"],"URL":"https:\/\/doi.org\/10.1137\/1035135","relation":{},"ISSN":["0036-1445","1095-7200"],"issn-type":[{"value":"0036-1445","type":"print"},{"value":"1095-7200","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,12]]}}}