A thin-plate bending equation of second-order accuracy

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A thin-plate bending equation of second-order accuracy. / Tovstik, P.E.; Tovstik, T.P.

In: Doklady Physics, No. 8, 2014, p. 389-392.

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Tovstik, P.E. ; Tovstik, T.P. / A thin-plate bending equation of second-order accuracy. In: Doklady Physics. 2014 ; No. 8. pp. 389-392.

BibTeX

@article{3a771d9fa8f04765a522b68d952df428,

title = "A thin-plate bending equation of second-order accuracy",

abstract = "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.",

author = "P.E. Tovstik and T.P. Tovstik",

year = "2014",

doi = "10.1134/S1028335814080126",

language = "English",

pages = "389--392",

journal = "Doklady Physics",

issn = "1028-3358",

publisher = "МАИК {"}Наука/Интерпериодика{"}",

number = "8",

}

RIS

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