Geodesic
Dynamic problem for inhomogeneous cantilever made of unstable material under the influence of combined bending compression
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 78-89.

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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
Mots-clés : spectral decomposition. 
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Yu. È. Senitsky. Dynamic problem for inhomogeneous cantilever made of unstable material under the influence of combined bending compression. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 2 (2009), pp. 78-89. http://geodesic.mathdoc.fr/item/VSGTU_2009_2_a8/

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