Academic Journal
Euler Strut: A Mechanical Analogy for Dynamics in the Vicinity of a Critical Point
| العنوان: | Euler Strut: A Mechanical Analogy for Dynamics in the Vicinity of a Critical Point |
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| اللغة: | English |
| المؤلفون: | Bobnar, Jaka, Susman, Katarina, Parsegian, V. Adrian |
| المصدر: | European Journal of Physics. Jul 2011 32(4):1007-1018. |
| الاتاحة: | Institute of Physics Publishing. The Public Ledger Building Suite 929, 150 South Independence Mall West, Philadelphia, PA 19106. Tel: 215-627-0880; Fax: 215-627-0879; e-mail: info@ioppubusa.com; Web site: http://www.iop.org/EJ/journal/EJP |
| Peer Reviewed: | Y |
| وصف مادي: | |
| Page Count: | 12 |
| تاريخ النشر: | 2011 |
| نوع الوثيقة: | Journal Articles Reports - Descriptive |
| Descriptors: | Mechanics (Physics), Science Instruction, Scientific Concepts, Science Experiments, Laboratory Experiments, Equations (Mathematics), Motion |
| DOI: | 10.1088/0143-0807/32/4/014 |
| تدمد: | 0143-0807 |
| مستخلص: | An anchored elastic filament (Euler strut) under an external point load applied to its free end is a simple model for a second-order phase transition. In the static case, a load greater than the critical load causes a Euler buckling instability, leading to a change in the filament's shape. The analysis of filament dynamics with an external point load at its end shows that when approaching the critical end-load, the period of such an inverted pendulum diverges in a fashion analogous to a "soft mode" critical slowing down in, for example, a ferroelectric phase transition of displacive type. We thus show that an advanced concept of solid state physics, i.e. "soft mode" dynamics and critical slowing down, observable in a variety of second-order phase transitions, can be actualized in this simple mechanical system. The variable loads attached to a vertical spring allow for an experimental implementation and quantitative measurements as an illustration of this analogy. (Contains 7 footnotes and 4 figures.) |
| Abstractor: | As Provided |
| Number of References: | 22 |
| Entry Date: | 2011 |
| رقم الانضمام: | EJ931785 |
| قاعدة البيانات: | ERIC |
| تدمد: | 0143-0807 |
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| DOI: | 10.1088/0143-0807/32/4/014 |