On Normal Modes of Vibrating 1-D Mechanical Systems with Discontinuous Properties

0377984 - ÚT 2013 RIV GB eng J - Článek v odborném periodiku
Fedorchenko, Alexander I. - Stachiv, Ivo - Wang, A. B.
On Normal Modes of Vibrating 1-D Mechanical Systems with Discontinuous Properties.
Mechanics of Advanced Materials and Structures. Roč. 19, č. 4 (2012), s. 265-270. ISSN 1537-6494. E-ISSN 1537-6532
Výzkumný záměr: CEZ:AV0Z20760514
Klíčová slova: dimensionless analysis * fundamental solution * normal modes
Kód oboru RIV: BI - Akustika a kmity
Impakt faktor: 0.701, rok: 2012
http://www.tandfonline.com/doi/abs/10.1080/15376494.2011.642936

A fundamental solution for the problem describing the longitudinal vibration of the rod with viscous damping has been found. A theoretical approach for determination of normal modes of vibrating one-dimensional mechanical systems with 3-stepwise constant properties has been put forward. The transcendental equation has been derived from the solution in the Laplace image space and its roots are natural frequencies. The equation relates thickness of layers and elastic moduli; it makes possible experimental measurement of thin film thickness and elastic moduli. The physical interpretation of the natural frequencies by introducing an “effective” speed of the wave propagation has been proposed.
Trvalý link: http://hdl.handle.net/11104/0209985