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A Journal of Russian Academy of Sciences
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A.N. Prokudin and A.A. Burenin, "Design of Equi-Strength Nonhomogeneous Rotating Shafts," Mech. Solids. 59 (7), 3704-3711 (2024)
Year 2024 Volume 59 Number 7 Pages 3704-3711
DOI 10.1134/S0025654424606232
Title Design of Equi-Strength Nonhomogeneous Rotating Shafts
Author(s) A.N. Prokudin (Institute of Machinery and Metallurgy of KHFRC FEB RAS, Komsomolsk-on-Amur, 681005 Russia, prokudin@imim.ru)
A.A. Burenin (Institute of Machinery and Metallurgy of KHFRC FEB RAS, Komsomolsk-on-Amur, 681005 Russia, burenin@iacp.dvo.ru)
Abstract The article is devoted to the design of an equi-strength rotating cylinder under conditions of plane or generalized plane strain. Both solid and hollow cylinders are investigated. The problem statement is based on the equations of the linear theory of elasticity. The lateral surfaces of the cylinder are assumed to be traction-free. It is supposed that Young’s modulus is an unknown function of the radial coordinate, and the other physical and mechanical parameters of the material are constant. The dependencies of Young’s modulus are established, at which the desired stress state is achieved in the cylinder. As such a state, a constant hoop stress, a constant difference between the hoop and radial stress, and a constant linear combination of the hoop and radial stresses are considered.
Keywords equi-strength design, rotating cylinder, elasticity, nonhomogeneous material
Received 07 November 2024Revised 11 November 2024Accepted 12 November 2024
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