High-Frequency Vibrations of Systems with Concentrated Masses Along Planes

D. Gömez (), M. Lobo () and M. E. Pérez ()
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D. Gömez: Universidad de Cantabria
M. Lobo: Universidad de Cantabria
M. E. Pérez: Universidad de Cantabria

Chapter 15 in Integral Methods in Science and Engineering, Volume 1, 2010, pp 149-159 from Springer

Abstract: Abstract Let Ω be an open bounded domain of ℝ3 with a smooth boundary $$\partial\Omega$$ . Weassume that Ω is divided into two parts Ω+ and Ω- by the plane $$\gamma: \Omega = \Omega_+ \cup \Omega_- \cup \gamma$$ .For simplicity, we assume that the plane { x 3 = 0} cuts Ω and $$\gamma = \Omega \cap \{x_3 = 0\}$$ . Let ε be a small positive parameter that tends to zero. We denote by ωε the ε-neighborhood of γ, i.e., $$\omega_\varepsilon = \Omega \cup \{|x_3|

Keywords: Asymptotic Behavior; Dirichlet Problem; Compact Operator; Constant Independent; Concentrate Masse (search for similar items in EconPapers)
Date: 2010
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DOI: 10.1007/978-0-8176-4899-2_15

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