Modelling of Vibrations of Laminated Shells with a Complicated Plan Shape at Impact Loading
Keywords:
laminated shell; complicated shape; impact loading; non-stationary vibrations
Abstract
The paper presents the method for analysis of non-stationary vibrations of laminated non-closed cylindrical shells with a complicated shape in plan view at impact loading. The method is based on expansion of the sought-for functions into trigonometrical series. Dynamical behavior of shells is investigated within the framework of the first order theory accounting to transverse shear strains, compression on width and normal element rotation inertia in each layer. Model of impact interaction is based on the Hertzian contact law. Vibrations of a five-layer shell are considered. The theoretical results are consistent with experimental data.
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References
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Сметанкина Н.В. Нестационарное деформирование, термоупругость и оптимизация многослойных пластин и цилиндрических оболочек. – Харьков: Изд-во «Міськдрук», 2011.– 376 с.
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McShane G.J., Radford D.D., Deshpande V.S., Fleck N.A. The response of clamped sandwich plates with lattice cores subjected to shock loading // Europ. J. Mechanics – A/Solids.– 2006.– v. 25, № 2.– P. 215 – 229.
Malekzadeh K., Khalili M.R., Mittal R.K. Analytical prediction of low-velocity impact response of composite sandwich panels using new TDOF spring–mass–damper model // J. Composite Materials. – 2006.– v. 40, № 18.– P. 1671–1689.
Naidu N.V.S., Sinha P.K. Nonlinear impact behaviour of laminated composite shells in hygrothermal environments // Int. J. Crashworthiness.– 2005.– v. 10, № 4.– P. 389 – 402.
Smetankina N.V., Shupikov A.N., Sotrikhin S.Yu., Yareschenko V.G. A noncanonically shape laminated plate subjected to impact loading: Theory and experiment // Trans. ASME. J. Appl. Mech.– 2008.– v. 75, № 5.– P. 051004-1 – 051004-9.
Smetankina N.V., Shupikov A.N., Sotrikhin S.Yu., Yareschenko V.G. Dynamic response of an elliptic plate to impact loading. Theory and experiment // Int. J. Impact Eng.– 2007.– v. 34, № 2.– P. 264 – 276.
Сметанкина Н.В. Нестационарное деформирование, термоупругость и оптимизация многослойных пластин и цилиндрических оболочек. – Харьков: Изд-во «Міськдрук», 2011.– 376 с.
Динник А.Н. Избранные труды: в 2 т. Т. 1. – К.: Изд-во АН УССР, 1952. – 350 с.
Published
2014-04-28
How to Cite
Сметанкіна, Н. В. (2014). Modelling of Vibrations of Laminated Shells with a Complicated Plan Shape at Impact Loading. Bulletin of V.N. Karazin Kharkiv National University, Series «Mathematical Modeling. Information Technology. Automated Control Systems», 24(1105), 148-155. Retrieved from https://periodicals.karazin.ua/mia/article/view/14258
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