Asymptotics for the eigenelements of vibrating membranes with very heavy thin inclusions

Comptes Rendus - Mecanique

Volumn 330, Issue 11, 2002, Pages 777-782

  Golovaty, Yuri ^a   Gómez, Delfina ^b   Lobo, Miguel ^b   Pérez, Eugenia ^b  

^a IVAN FRANKO NATIONAL UNIVERSITY OF LVIV   (Ukraine)

^b UNIVERSITY OF CANTABRIA   (Spain)

Author keywords

Concentrated masses; Low frequencies; Medium frequencies; Spectral analysis; Vibrations

Indexed keywords

FREQUENCY; MEMBRANE; VIBRATION;

CALCULATION; MATHEMATICAL ANALYSIS; MATHEMATICS; MEMBRANE; REVIEW; VIBRATION;

EID: 0036856202     PISSN: 16310721     EISSN: None     Source Type: Journal    
DOI: 10.1016/S1631-0721(02)01531-0     Document Type: Article

References (6)

1. M. Lobo, E. Pérez, Vibrations of a membrane with many concentrated masses near the boundary, Math. Models Methods Appl. Sci. 5 (5) (1995) 565-585.
2. O.A. Oleinik, A.S. Shamaev, G.A. Yosifian, Mathematical Problems in Elasticity and Homogenization, North-Holland, London, 1992.
3. J. Sanchez-Hubert, E. Sanchez-Palencia, Vibration and Coupling of Continuous Systems. Asymptotic Methods, Springer-Verlag, Heidelberg, 1989.
4. Yu.D. Golovaty, A.S. Lavrenyuk, Asymptotic expansions of local eigenvibrations for plate with density perturbed in neighbourhood of one-dimensional manifold, Mat. Studii 13 (1) (2000) 51-62.
5. H. Tchatat, Perturbations Spectrales Pour des Systèmes Avec Masses Concentrées, Thése 3eme cycle, Université Pierre et Marie Curie, Paris VI, Paris, 1984.
6. Yu.D. Golovaty, D. Gómez, M. Lobo, E. Pérez, Vibrating Membranes with Very Thin Heavy Inclusions Around Curves, in preparation.