Convergence of Dual Infinity Series

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F21%3A00389873" target="_blank" >RIV/68407700:21220/21:00389873 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1007/978-3-030-77310-6_3" target="_blank" >https://doi.org/10.1007/978-3-030-77310-6_3</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-030-77310-6_3" target="_blank" >10.1007/978-3-030-77310-6_3</a>

Result language
angličtina
Original language name
Convergence of Dual Infinity Series
Original language description
The solution of the system of the partial differential motion equations describing the movement of plate element by Fourier’s series is presented in the article. The investigated function is expressed by product of three or four functions of the particular variables. These functions are demanded relation for the calculation of the displacement components, rotation components and stress components. These functions are defined in the form of the dual infinite series. The sum of these functions is necessary to perform by the numerical summarization process—element by element. The convergence of these series has to be proved before, namely in the equations of stresses. The methodology is presented by the calculation of the shear stress for Kirchhoff’s models of thin isotropic and orthotropic plates without corrections. This methodology is valid in general for the solution of motion partial differential equations of plate elements by Fourier’s method.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2021
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches
ISBN
978-3-030-77309-0
ISSN
2194-1009
e-ISSN
2194-1017
Number of pages
12
Pages from-to
25-36
Publisher name
Springer
Place of publication
Cham
Event location
Lodz
Event date
Dec 2, 2019
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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