|
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
(published under the terms of the Creative Commons Attribution 4.0 International License)
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
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
Linking options:
https://www.mathnet.ru/eng/vsgtu690 https://www.mathnet.ru/eng/vsgtu/v119/p78
|
Statistics & downloads: |
Abstract page: | 508 | Full-text PDF : | 229 | References: | 48 | First page: | 1 |
|