Canonical representations of complex vibratory subsystems: Time-domain Dirichlet-to-Neumann maps
type: Item
instance of: scholarly article
title: Canonical representations of complex vibratory subsystems: Time-domain Dirichlet-to-Neumann maps
zbMATH Open document ID: 0995.74024
DOI: 10.1016/S0020-7683(99)00070-0
author: N. Delaunay
published in: International Journal of Solids and Structures
publication date: 2002-10-21T00:00:00Z
review text: Large-scale dynamic simulations can be often simplified by appropriately replacing large portions of the domain by a Dirichlet-to-Neumann (DtN) map. Here the authors consider the problem of representing a linear dynamical subsystem by such a map. The exact DtN map is computed as a model summation, and its properties are studied. The authors derive bounds on the symbol of DtN map in Laplace domain, and then approximate the exact map (in particular, in the high-modal density regime).
reviewed by: Eugeni Syrkin
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 74K99
zbMATH DE Number: 1487014
zbMATH Keywords: fuzzy structure
zbMATH Keywords: vibration
zbMATH Keywords: model reduction
zbMATH Keywords: dynamic reduction
zbMATH Keywords: Dirichlet-to-Neumann map
zbMATH Keywords: linear dynamical subsystem
zbMATH Keywords: Laplace domain
zbMATH Keywords: high-modal density regime
MaRDI profile type: Publication
description: scientific article; zbMATH DE number 1487014