Abstract
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—the 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.
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