Результаты исследований: Научные публикации в периодических изданиях › статья
A thin-plate bending equation of second-order accuracy. / Tovstik, P.E.; Tovstik, T.P.
в: Doklady Physics, № 8, 2014, стр. 389-392.Результаты исследований: Научные публикации в периодических изданиях › статья
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TY - JOUR
T1 - A thin-plate bending equation of second-order accuracy
AU - Tovstik, P.E.
AU - Tovstik, T.P.
PY - 2014
Y1 - 2014
N2 - A thin-plate bending equation of second-order accuracy is determined. The specification of this equation is related to the Timoshenko-Reisner (TR) hypotheses taking into account the transverse shear. As a result of using the asymptotic integration technique, it was established that the TR hypotheses give only a fraction of terms of the second-order smallness. For a multilayer plate, the modula have a discontinuity on the layer contact planes, it being assumed that the full contact takes place between layers without slip and separation. The equation of bending and vibrations of a plate can be obtained on the basis of the Kirchhoff-Love (KL) hypotheses and is the first asymptotic approximation in the expansion in powers relative to the plate thickness. The specification of this equation is related to the Timoshenko-Reisner (TR) hypotheses taking into account the transverse shear.
AB - A thin-plate bending equation of second-order accuracy is determined. The specification of this equation is related to the Timoshenko-Reisner (TR) hypotheses taking into account the transverse shear. As a result of using the asymptotic integration technique, it was established that the TR hypotheses give only a fraction of terms of the second-order smallness. For a multilayer plate, the modula have a discontinuity on the layer contact planes, it being assumed that the full contact takes place between layers without slip and separation. The equation of bending and vibrations of a plate can be obtained on the basis of the Kirchhoff-Love (KL) hypotheses and is the first asymptotic approximation in the expansion in powers relative to the plate thickness. The specification of this equation is related to the Timoshenko-Reisner (TR) hypotheses taking into account the transverse shear.
U2 - 10.1134/S1028335814080126
DO - 10.1134/S1028335814080126
M3 - Article
SP - 389
EP - 392
JO - Doklady Physics
JF - Doklady Physics
SN - 1028-3358
IS - 8
ER -
ID: 7066558