Optimal thickness distribution of stepped nonlinear Gao beam

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989592%3A15310%2F21%3A73610017" target="_blank" >RIV/61989592:15310/21:73610017 - isvavai.cz</a>
Result on the web
<a href="https://www.sciencedirect.com/science/article/pii/S0378475420301671" target="_blank" >https://www.sciencedirect.com/science/article/pii/S0378475420301671</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.matcom.2020.05.008" target="_blank" >10.1016/j.matcom.2020.05.008</a>

Result language
angličtina
Original language name
Optimal thickness distribution of stepped nonlinear Gao beam
Original language description
We present an optimal shape design problem of a transversely and axially loaded nonlinear stepped elastic beam with piecewise constant thickness distribution. The nonlinear beam model proposed by D.Y. Gao in 1996 is considered for modelling the state problem. The objective of the optimization is to find the thickness distribution to maximize the stiffness of the beam subjected to geometrical constraints, namely the preservation of volume is imposed. The stiffness is characterized by the compliance cost functional. The existence of solutions of the optimization problem and convergence properties of discretization using finite element approach is analysed. The theory is illustrated by numerical results.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10102 - Applied mathematics

Project
<a href="/en/project/EF17_049%2F0008408" target="_blank" >EF17_049/0008408: Hydrodynamic design of pumps</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>S - Specificky vyzkum na vysokych skolach

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

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