Convergence of Dual Infinity Series

Kód výsledku v 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>

Výsledek na webu

<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>

Jazyk výsledku

angličtina

Název v původním jazyce

Convergence of Dual Infinity Series

Popis výsledku v původním jazyce

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.

Název v anglickém jazyce

Convergence of Dual Infinity Series

Popis výsledku anglicky

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.

Druh

D - Stať ve sborníku

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2021

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

Perspectives in Dynamical Systems II: Mathematical and Numerical Approaches

ISBN

978-3-030-77309-0

ISSN

2194-1009

e-ISSN

2194-1017

Počet stran výsledku

12

Strana od-do

25-36

Název nakladatele

Springer

Místo vydání

Cham

Místo konání akce

Lodz

Datum konání akce

2. 12. 2019

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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