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Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]:
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Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, 2009, Issue 2(19), Pages 78–89
DOI: https://doi.org/10.14498/vsgtu690 (Mi vsgtu690) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Mechanics of Solids

Dynamic problem for inhomogeneous cantilever made of unstable material under the influence of combined bending compression

Yu. È. Senitsky

Dept. of Resistance of Materials and Construction Mechanics, Samara State University of Architecture and Civil Engineering, Samara
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DOI: https://doi.org/10.14498/vsgtu690
Abstract: New analytical solution of initial-boundary value problem for inhomogeneous elastic prismatic cantilever loaded by combined bending compression is developed. Modulus of volume elasticity of the material is arbitrary time function. General method of final integral transformation is used, in which transformant is a phase integral. In a special case the influence of unexpectedly applied pressure in the considered law is analyzed and the changes of modulus of volume elasticity are shown.
Keywords: inhomogeneous cantilever, elastic modulus, function of time, dynamic loading, finite integral transformations method, beam operator, phase integrals, spectral decomposition.
Original article submitted 08/VII/2009
revision submitted – 13/VIII/2009
Bibliographic databases:
Document Type: Article
UDC: 539.3+517.956
MSC: 74S05
Language: Russian
Citation: Yu. È. Senitsky, “Dynamic problem for inhomogeneous cantilever made of unstable material under the influence of combined bending compression”, Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.], 2(19) (2009), 78–89
Citation in format AMSBIB
\Bibitem{Sen09}
\by Yu.~\`E.~Senitsky
\paper Dynamic problem for inhomogeneous cantilever made of unstable material under the influence of combined bending compression
\jour Vestn. Samar. Gos. Tekhn. Univ., Ser. Fiz.-Mat. Nauki [J. Samara State Tech. Univ., Ser. Phys. Math. Sci.]
\yr 2009
\vol 2(19)
\pages 78--89
\mathnet{http://mi.mathnet.ru/vsgtu690}
\crossref{https://doi.org/10.14498/vsgtu690}
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Вестник Самарского государственного технического университета. Серия: Физико-математические науки
     
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