Article
MSC:
65C20,
65D07,
65L05,
74F10,
74K10,
74S30 | MR 1727982 | Zbl 1060.74668 | DOI: 10.1023/A:1022224921654
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Keywords:
Elasticity; nonlinear differential equations; cubic spline
Elasticity; nonlinear differential equations; cubic spline
Summary:
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.
References:
[1] D. F. Winter: On the stem of a tall palm in a strong wind. SIAM REWIEW 35 (December 1993), no. 4, 567–579. MR 1247917
[2] E. Hájek, P. Reif, F. Valenta: Elasticity and Strengh of Materials I. (In Czech: Pružnost a pevnost I.). SNTL, Praha, 1988.
[3] I. Vicena, J. Pařez, J. Konopka: Forest protection against windfallen trees (In Czech: Ochrana lesa proti polomům). SZN, Praha, 1979.
[4] I. Vicena: Management of forest demaged by peeling (In Czech: Hospodaření v porostech poškozených loupáním). Lesnická práce, 95 (Praha 1995), no. 5, 14–15.
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