| Title:
|
Numerical model of a pine in a wind (English) |
| Author:
|
Korbelář, Jan |
| Author:
|
Janovská, Drahoslava |
| Language:
|
English |
| Journal:
|
Applications of Mathematics |
| ISSN:
|
0862-7940 (print) |
| ISSN:
|
1572-9109 (online) |
| Volume:
|
44 |
| Issue:
|
6 |
| Year:
|
1999 |
| Pages:
|
459-468 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
Elasticity |
| Keyword:
|
nonlinear differential equations |
| Keyword:
|
cubic spline |
| MSC:
|
65C20 |
| MSC:
|
65D07 |
| MSC:
|
65L05 |
| MSC:
|
74F10 |
| MSC:
|
74K10 |
| MSC:
|
74S30 |
| idZBL:
|
Zbl 1060.74668 |
| idMR:
|
MR1727982 |
| DOI:
|
10.1023/A:1022224921654 |
| . |
| Date available:
|
2009-09-22T18:01:56Z |
| Last updated:
|
2020-07-02 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/134421 |
| . |
| Reference:
|
[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 |
| Reference:
|
[2] E. Hájek, P. Reif, F. Valenta: Elasticity and Strengh of Materials I. (In Czech: Pružnost a pevnost I.).SNTL, Praha, 1988. |
| Reference:
|
[3] I. Vicena, J. Pařez, J. Konopka: Forest protection against windfallen trees (In Czech: Ochrana lesa proti polomům).SZN, Praha, 1979. |
| Reference:
|
[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. |
| . |
