In this paper the influence of different boundary conditions on geometrically nonlinear response of laminated composite plates is analyzed. Mathematical model, based on layer-wise displacement field of Reddy [1], is formulated using the von Karman, small strain large deflection theory. The principle if virtual displacements (PVD) is used to obtain the weak form of the problem. The weak form is discretized utilizing isoparametric finite element approximation. The originally coded MATLAB program is used to investigate the influence of different boundary conditions on geometrically nonlinear response of laminate composite plates. The accuracy of the numerical model is verified by comparison with the available results from the literature.
U ovom radu analiziran je uticaj različitih graničnih uslova na geometrijski nelinearan odgovor laminatnih kompozitnih ploča. Matematički model, zasnovan na slojevitom polju pomeranja koje je predložio Reddy [1], formulisan je koristeći von Karman'ovu teoriju velikih pomeranja i malih deformacija. Princip virtulanih pomeranja je primenjen za dobijanje slabe forme problema. Slaba forma je diskretizovana koristeći izoparametarsku aproksimaciju konačnim elementom. Originalan MATLAB računski program je korišćen za analizu uticaja različitih graničnih uslova na nelinearna odgovor laminatnih kompozitnih ploča. Tačnost numeričkog modela je potvrđena poređenjem sa rešenjima iz literature. .
Keywords:
geometrical nonlinearity / boundary conditions / composite plates / finite element / geometrijska nelinearnost / granični uslovi / kompozitna ploča / konačni element
Source:
Journal of Applied Engineering Science, 2012, 10, 1, 31-36
Publisher:
Institut za istraživanja i projektovanja u privredi, Beograd
TY - JOUR
AU - Ćetković, Marina
AU - Vuksanović, Đorđe
AU - Knežević, Miloš
AU - Samardzioska, Todorka
AU - Cvetkovska, Meri
PY - 2012
UR - https://grafar.grf.bg.ac.rs/handle/123456789/422
AB - In this paper the influence of different boundary conditions on geometrically nonlinear response of laminated composite plates is analyzed. Mathematical model, based on layer-wise displacement field of Reddy [1], is formulated using the von Karman, small strain large deflection theory. The principle if virtual displacements (PVD) is used to obtain the weak form of the problem. The weak form is discretized utilizing isoparametric finite element approximation. The originally coded MATLAB program is used to investigate the influence of different boundary conditions on geometrically nonlinear response of laminate composite plates. The accuracy of the numerical model is verified by comparison with the available results from the literature.
AB - U ovom radu analiziran je uticaj različitih graničnih uslova na geometrijski nelinearan odgovor laminatnih kompozitnih ploča. Matematički model, zasnovan na slojevitom polju pomeranja koje je predložio Reddy [1], formulisan je koristeći von Karman'ovu teoriju velikih pomeranja i malih deformacija. Princip virtulanih pomeranja je primenjen za dobijanje slabe forme problema. Slaba forma je diskretizovana koristeći izoparametarsku aproksimaciju konačnim elementom. Originalan MATLAB računski program je korišćen za analizu uticaja različitih graničnih uslova na nelinearna odgovor laminatnih kompozitnih ploča. Tačnost numeričkog modela je potvrđena poređenjem sa rešenjima iz literature. .
PB - Institut za istraživanja i projektovanja u privredi, Beograd
T2 - Journal of Applied Engineering Science
T1 - Influence of boundary conditions on nonlinear response of laminated composite plates
T1 - Uticaj graničnih uslova na nelinearan odgovor laminatnih kompozitnih ploča
EP - 36
IS - 1
SP - 31
VL - 10
DO - 10.5937/jaes10-1662
ER -
@article{
author = "Ćetković, Marina and Vuksanović, Đorđe and Knežević, Miloš and Samardzioska, Todorka and Cvetkovska, Meri",
year = "2012",
abstract = "In this paper the influence of different boundary conditions on geometrically nonlinear response of laminated composite plates is analyzed. Mathematical model, based on layer-wise displacement field of Reddy [1], is formulated using the von Karman, small strain large deflection theory. The principle if virtual displacements (PVD) is used to obtain the weak form of the problem. The weak form is discretized utilizing isoparametric finite element approximation. The originally coded MATLAB program is used to investigate the influence of different boundary conditions on geometrically nonlinear response of laminate composite plates. The accuracy of the numerical model is verified by comparison with the available results from the literature., U ovom radu analiziran je uticaj različitih graničnih uslova na geometrijski nelinearan odgovor laminatnih kompozitnih ploča. Matematički model, zasnovan na slojevitom polju pomeranja koje je predložio Reddy [1], formulisan je koristeći von Karman'ovu teoriju velikih pomeranja i malih deformacija. Princip virtulanih pomeranja je primenjen za dobijanje slabe forme problema. Slaba forma je diskretizovana koristeći izoparametarsku aproksimaciju konačnim elementom. Originalan MATLAB računski program je korišćen za analizu uticaja različitih graničnih uslova na nelinearna odgovor laminatnih kompozitnih ploča. Tačnost numeričkog modela je potvrđena poređenjem sa rešenjima iz literature. .",
publisher = "Institut za istraživanja i projektovanja u privredi, Beograd",
journal = "Journal of Applied Engineering Science",
title = "Influence of boundary conditions on nonlinear response of laminated composite plates, Uticaj graničnih uslova na nelinearan odgovor laminatnih kompozitnih ploča",
pages = "36-31",
number = "1",
volume = "10",
doi = "10.5937/jaes10-1662"
}
Ćetković, M., Vuksanović, Đ., Knežević, M., Samardzioska, T.,& Cvetkovska, M.. (2012). Influence of boundary conditions on nonlinear response of laminated composite plates. in Journal of Applied Engineering Science
Institut za istraživanja i projektovanja u privredi, Beograd., 10(1), 31-36.
https://doi.org/10.5937/jaes10-1662
Ćetković M, Vuksanović Đ, Knežević M, Samardzioska T, Cvetkovska M. Influence of boundary conditions on nonlinear response of laminated composite plates. in Journal of Applied Engineering Science. 2012;10(1):31-36.
doi:10.5937/jaes10-1662 .
Ćetković, Marina, Vuksanović, Đorđe, Knežević, Miloš, Samardzioska, Todorka, Cvetkovska, Meri, "Influence of boundary conditions on nonlinear response of laminated composite plates" in Journal of Applied Engineering Science, 10, no. 1 (2012):31-36,
https://doi.org/10.5937/jaes10-1662 . .
