On the one-dimensional wave propagation in inhomogeneous elastic layer

• Autorzy: Wesołowski Z.
• Języki publikacji: EN

Abstrakty

EN

The standard approach to the wave propagation in an inhomogeneous elastic layer leads to the displacement in a form of a product of a function of space and a harmonic function of time. This product represents the standing, and not the running wave. The part depending on the space variable is governed by the linear ordinary second order differential equation. In order to calculate the propagation speed in the present paper the inhomogeneous material is separated by a plane into two parts. Between the two inhomogeneous parts the virtual homogeneous elastic extra layer is added. The elasticity modulus and the mass density of the extra layer have the same values as the inhomogeneous material on the separation plane. In further calculations the extra layer is assumed to be infinitesimally thin. The virtual layer allows to decompose the motion into two waves: a wave running to the right and a wave running to the left. Energy conservation equation is derived.

Słowa kluczowe

EN

wave propagation; inhomogeneous region; virtual homogeneous layer; energy flux

• Wydawca: Polska Akademia Nauk, Wydział IV Nauk Technicznych
• Czasopismo: Bulletin of the Polish Academy of Sciences. Technical Sciences
• Rocznik: 2007
• Tom: Vol. 55, nr 4
• Strony: 397--403
• Opis fizyczny: Bibliogr. 3 poz., rys.

Twórcy

autor

Wesołowski Z.

• Center for Laser Technology of Metals, Technical University of Kielce, 7 Tysiąclecia Państwa Polskiego Ave., 25-314 Kielce, Poland,

Bibliografia

• [1] Z. Wesolowski, "Wave reflection on a continuous transition zone between two homogeneous materials", Acta Mechanica 105,119-131 (1994).
• [2] S. Kaliski, Vibrations and Waves, vol. III, PWN, Warszawa, 1986, (in Polish).
• [3] E. Kamke, Differentialgleichungen, Akademische Verlagsgesellschaft, Leipzig, 1943.