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Proceedings Paper

Damping of rod vibrations caused by impact
Author(s): Eduard Roman Oberaigner; Kikuaki Tanaka; Franz Dieter Fischer
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Paper Abstract

Vibration damping through phase transformation is one major area of application of shape memory alloys in smart systems and structures. The authors of this study have shown in earlier publications, how damping of vibrating rods can be accomplished. Phase transformation due to heating/cooling is the tool for vibration damping in the past and present work. Here, an elastic, polycrystalline rod is considered, which is initially at rest, and from the time t equals 0 on dynamically loaded. The loading function (pressure in the dependence on time) is in the simplest cases rectangular or bell-shaped. Special cases exist, which are equivalent to the release waves discussed in earlier papers. Heating/cooling is performed at the fixed end of the -- after the impact -- freely vibrating rod. This causes phase transformation on some parts of the rod according to the stress-temperature diagram. Thus, the governing equations are the heat conduction equation, the stress wave equation, the kinetic law to describe the phase transformation, and finally the constitutive law as well as a condition to ensure maximal damping. An integral equation algorithm is adapted to the impact problem for the numerical simulation. Results are provided for different impact types and heating/cooling histories. These show the decrease of the energy divided by the impact energy depending on time.

Paper Details

Date Published: 4 June 1999
PDF: 12 pages
Proc. SPIE 3667, Smart Structures and Materials 1999: Mathematics and Control in Smart Structures, (4 June 1999); doi: 10.1117/12.350106
Show Author Affiliations
Eduard Roman Oberaigner, Montanuniv. Leoben (Austria)
Kikuaki Tanaka, Tokyo Metropolitan Institute of Technology (Japan)
Franz Dieter Fischer, Montanuniv. Leoben (Austria)


Published in SPIE Proceedings Vol. 3667:
Smart Structures and Materials 1999: Mathematics and Control in Smart Structures
Vasundara V. Varadan, Editor(s)

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