Erratum and Reformulation: On the Stem Curve of a Tall Palm in a Strong Wind

@article{Winter1996ErratumAR,
  title={Erratum and Reformulation: On the Stem Curve of a Tall Palm in a Strong Wind},
  author={Donald F. Winter},
  journal={SIAM Rev.},
  year={1996},
  volume={38},
  pages={485-486}
}
The remarkable resilience of tall, thin palms to bending in strong winds was investigated in [Winter, {\it SIAM Rev.}, 35 (1993), pp. 567--579]. Agreement between theory and informal data was fortuitous due to errors in the physics of the problem statement, which are identified herein. This note summarizes a reformulation that includes nonuniform mechanical stem properties of palms that distinguish them from dicotyledenous and coniferous trees. The generalization was prompted by comments of… 
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The quest for a unified theory on biomechanical palm risk assessment through theoretical analysis and observation

A simple mathematical model was designed, to simulate the results of critical wind speed predictions for a tall coconut palm by using classic beam theory and Brazier buckling, to enable a better understanding of the wide range of factors that may influence the mechanical behaviour of trees and palms under (wind) loading.

References

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On the Stem Curve of a Tall Palm in a Strong Wind

Steady-state nonlinear differential equations governing the stem curve of a wind-loaded palm are derived and solved numerically and three approximate solutions are developed.

Modelling the Stem Curve of a Palm in a Strong Wind

We point out two corrections to [Winter, SIAM Rev., 35 (1993), pp. 567--579] and indicate the parametric modifications needed to fit the field observations.

The QR decomposition and the singular value decomposition in the symmetrized max-plus algebra

  • B. SchutterB. Moor
  • Computer Science, Mathematics
    1997 European Control Conference (ECC)
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Algorithms from linear algebra are used to prove the existence of max-plus-algebraic analogues of the QR decomposition and the singular value decomposition.

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