Dynamics of a class of repeated systems with non-identical elastic and visco-elastic interconnections - A bond graph approach
type: Item
instance of: scholarly article
title: Dynamics of a class of repeated systems with non-identical elastic and visco-elastic interconnections - A bond graph approach
zbMATH Open document ID: 0569.70004
DOI: 10.1016/0016-0032(85)90002-X
author: B. Samanta
author: Amalendu Mukherjee
published in: Journal of the Franklin Institute
publication date: 1985-01-01T00:00:00Z
review text: Dynamics of a class of repeated systems, termed here ''parallel'' systems, are studied. A parallel system has been defined as one consisting of identical subsystems connected in a topologically identical manner where the parameters of interconnections may not be identical and they need not be restricted to the immediate neighbourhood. The governing equations for such systems are derived in state-space form using bond graph techniques. An algorithm is established to decouple these otherwise coupled system equations so that the overall system dynamics can be studied with the same computational effort necessary in analysing a single subsystem. The procedure is illustrated by a numerical example.
Mathematics Subject Classification ID: 70B15
Mathematics Subject Classification ID: 74H45
Mathematics Subject Classification ID: 70-08
zbMATH DE Number: 3909798
zbMATH Keywords: periodic structures
zbMATH Keywords: crystal lattices
zbMATH Keywords: elastic links
zbMATH Keywords: viscoelastic links
zbMATH Keywords: class of repeated systems
zbMATH Keywords: parallel system
zbMATH Keywords: parameters of interconnections
zbMATH Keywords: state-space form
zbMATH Keywords: bond graph techniques
zbMATH Keywords: algorithm
MaRDI profile type: Publication
cites work: Q5819374
cites work: A general theory of harmonic wave propagation in linear periodic systems with multiple coupling
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full work available at URL: 0016-0032(85)90002-x
OpenAlex ID: W2081908554
description: scientific article; zbMATH DE number 3909798