Geodesic
Numerical model of a pine in a wind
Applications of Mathematics, Tome 44 (1999) no. 6, pp. 459-468.

Voir la notice de l'article provenant de la source Czech Digital Mathematics Library

Steady-state nonlinear differential equations govering the stem curve of a wind-loaded pine are derived and solved numerically. Comparison is made between the results computed and the data from photographs of a pine stem during strong wind. The pine breaking is solved at the end.
DOI : 10.1023/A:1022224921654
Classification : 65C20, 65D07, 65L05, 74F10, 74K10, 74S30
Keywords: Elasticity; nonlinear differential equations; cubic spline 
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Korbelář, Jan; Janovská, Drahoslava. Numerical model of a pine in a wind. Applications of Mathematics, Tome 44 (1999) no. 6, pp. 459-468. doi : 10.1023/A:1022224921654. http://geodesic.mathdoc.fr/articles/10.1023/A:1022224921654/

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