Inverse mass matrix via the method of localized lagrange multipliers
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61388998%3A_____%2F18%3A00486539" target="_blank" >RIV/61388998:_____/18:00486539 - isvavai.cz</a>
Result on the web
<a href="https://onlinelibrary.wiley.com/doi/10.1002/nme.5613" target="_blank" >https://onlinelibrary.wiley.com/doi/10.1002/nme.5613</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/nme.5613" target="_blank" >10.1002/nme.5613</a>
Alternative languages
Result language
angličtina
Original language name
Inverse mass matrix via the method of localized lagrange multipliers
Original language description
An efficient method for generating the mass matrix inverse of structural dynamic problems is presented, which can be tailored to improve the accuracy of target frequency ranges and/or wave contents. The present method bypasses the use of biorthogonal construction of a kernel inverse mass matrix that requires special procedures for boundary conditions and free edges or surfaces and constructs the free-free inverse mass matrix using the standard FEM procedure. The various boundary conditions are realized by the the method of localized Lagrange multipliers. In particular, the present paper constructs the kernel inverse matrix by using the standard FEM elemental mass matrices. It is shown that the accuracy of the present inverse mass matrix is almost identical to that of a conventional consistent mass matrix or a combination of lumped and consistent mass matrices. Numerical experiments with the proposed inverse mass matrix are conducted to validate its effectiveness when applied to vibration analysis of bars, beams, and plain stress problems.
Czech name
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Czech description
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Classification
Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
20302 - Applied mechanics
Result continuities
Project
Result was created during the realization of more than one project. More information in the Projects tab.
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
International Journal for Numerical Methods in Engineering
ISSN
0029-5981
e-ISSN
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Volume of the periodical
113
Issue of the periodical within the volume
2
Country of publishing house
GB - UNITED KINGDOM
Number of pages
19
Pages from-to
277-295
UT code for WoS article
000418270100005
EID of the result in the Scopus database
2-s2.0-85038433681