Comparison of Mandelshtam's Conditions with Convergence Conditions for Iterative Procedures in the Analysis of Complex Dynamic Systems by Means of Partial Models

The convergence conditions for iterative procedures in the analysis of dynamic systems with the use of partial models are compared with Mandelshtam's conditions (uncoupling of vibrations of partial models). Both basic iteration procedures are discussed. The conditions for iterative procedures...

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Main Author: T.L. Stańczyk
Format: Article
Language:English
Published: Institute of Fundamental Technological Research 1992-12-01
Series:Engineering Transactions
Online Access:https://et.ippt.pan.pl/index.php/et/article/view/1606
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author T.L. Stańczyk
author_facet T.L. Stańczyk
author_sort T.L. Stańczyk
collection DOAJ
description The convergence conditions for iterative procedures in the analysis of dynamic systems with the use of partial models are compared with Mandelshtam's conditions (uncoupling of vibrations of partial models). Both basic iteration procedures are discussed. The conditions for iterative procedures are found to be much weaker than those formulated by Mandelshtam. A simplified criterion for the selection of the type of procedure a manner in which a system is to be decomposed is presented.
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institution Kabale University
issn 0867-888X
2450-8071
language English
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publisher Institute of Fundamental Technological Research
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spelling doaj-art-a17973f835a64311995fe05d4e46cdcc2025-08-20T03:49:50ZengInstitute of Fundamental Technological ResearchEngineering Transactions0867-888X2450-80711992-12-01404Comparison of Mandelshtam's Conditions with Convergence Conditions for Iterative Procedures in the Analysis of Complex Dynamic Systems by Means of Partial ModelsT.L. Stańczyk The convergence conditions for iterative procedures in the analysis of dynamic systems with the use of partial models are compared with Mandelshtam's conditions (uncoupling of vibrations of partial models). Both basic iteration procedures are discussed. The conditions for iterative procedures are found to be much weaker than those formulated by Mandelshtam. A simplified criterion for the selection of the type of procedure a manner in which a system is to be decomposed is presented. https://et.ippt.pan.pl/index.php/et/article/view/1606
spellingShingle T.L. Stańczyk
Comparison of Mandelshtam's Conditions with Convergence Conditions for Iterative Procedures in the Analysis of Complex Dynamic Systems by Means of Partial Models
Engineering Transactions
title Comparison of Mandelshtam's Conditions with Convergence Conditions for Iterative Procedures in the Analysis of Complex Dynamic Systems by Means of Partial Models
title_full Comparison of Mandelshtam's Conditions with Convergence Conditions for Iterative Procedures in the Analysis of Complex Dynamic Systems by Means of Partial Models
title_fullStr Comparison of Mandelshtam's Conditions with Convergence Conditions for Iterative Procedures in the Analysis of Complex Dynamic Systems by Means of Partial Models
title_full_unstemmed Comparison of Mandelshtam's Conditions with Convergence Conditions for Iterative Procedures in the Analysis of Complex Dynamic Systems by Means of Partial Models
title_short Comparison of Mandelshtam's Conditions with Convergence Conditions for Iterative Procedures in the Analysis of Complex Dynamic Systems by Means of Partial Models
title_sort comparison of mandelshtam s conditions with convergence conditions for iterative procedures in the analysis of complex dynamic systems by means of partial models
url https://et.ippt.pan.pl/index.php/et/article/view/1606
work_keys_str_mv AT tlstanczyk comparisonofmandelshtamsconditionswithconvergenceconditionsforiterativeproceduresintheanalysisofcomplexdynamicsystemsbymeansofpartialmodels