The elastic rod
Fuente:
Redalyc
Guardado en:
| Autor principal: | |
|---|---|
| Formato: | Artículo científico |
| Lenguaje: | en |
| Publicado: |
Sociedad Mexicana de Física A.C.
2007
|
| Materias: | |
| Acceso en línea: | |
| Etiquetas: |
Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
|
| _version_ | 1876465912749490176 |
|---|---|
| author | M.E. Pacheco Q. |
| author_facet | M.E. Pacheco Q. |
| contents | The elastic rod M.E. Pacheco Q. E. Piña Física, Astronomía y Matemáticas Elastic rod iterated drawing Jacobian functions The form of an elastic rod in equilibrium subject to a buckling by the action of two opposite forces at its ends is explicitly calculated and drawn. The full expression for the radius of curvature in the equation of the beam is considered. It is known that the differential equation describing the form of the rod, written in terms of the arc length and the angle that forms the tangent line to the curve with the horizontal axis of coordinates, is exactly the same one finds in describing the dynamics of great amplitude oscillations of a simple pendulum. This equation is solved exactly in terms of Jacobi's elliptic functions. The solutions are drawn by using in iterated form the addition formulas of those functions. Useful relations among the physical constants of the system and the geometric parameters of the rod are also obtained. 2007 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57028298008 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.53 |
| format | Artículo científico |
| id | redalyc_57028298008 |
| institution | Redalyc |
| language | en |
| publishDate | 2007 |
| publisher | Sociedad Mexicana de Física A.C. |
| spellingShingle | The elastic rod M.E. Pacheco Q. Física, Astronomía y Matemáticas Elastic rod iterated drawing Jacobian functions The elastic rod M.E. Pacheco Q. E. Piña Física, Astronomía y Matemáticas Elastic rod iterated drawing Jacobian functions The form of an elastic rod in equilibrium subject to a buckling by the action of two opposite forces at its ends is explicitly calculated and drawn. The full expression for the radius of curvature in the equation of the beam is considered. It is known that the differential equation describing the form of the rod, written in terms of the arc length and the angle that forms the tangent line to the curve with the horizontal axis of coordinates, is exactly the same one finds in describing the dynamics of great amplitude oscillations of a simple pendulum. This equation is solved exactly in terms of Jacobi's elliptic functions. The solutions are drawn by using in iterated form the addition formulas of those functions. Useful relations among the physical constants of the system and the geometric parameters of the rod are also obtained. 2007 artículo científico 0035-001X https://www.redalyc.org/articulo.oa?id=57028298008 en http://www.redalyc.org/revista.oa?id=570 Revista Mexicana de Física application/pdf Sociedad Mexicana de Física A.C. Revista Mexicana de Física (México) Num.2 Vol.53 |
| title | The elastic rod |
| topic | Física, Astronomía y Matemáticas Elastic rod iterated drawing Jacobian functions |
| url | https://www.redalyc.org/articulo.oa?id=57028298008 |