Abstract
The Karush–Kuhn–Tucker optimality conditions in minimum weight design of elastic rotating disks with variable thickness and density
Highlights
IntroductionAreas of research and studies due to their vast utilization in industry such as gears, turbine rotors, flywheels, shrink fits etc
Rotating discs are historically, areas of research and studies due to their vast utilization in industry such as gears, turbine rotors, flywheels, shrink fits etc
Semi-analytical solutions for the elastic stress distribution in rotating annular disks with uniform and variable thicknesses and densities are obtained under plane stress assumption by authors in previous works
Summary
Areas of research and studies due to their vast utilization in industry such as gears, turbine rotors, flywheels, shrink fits etc. The analytical solutions of rotating solid disks with constant thickness were discussed for elastic-perfectly plastic (Gamer, 1983) and for linearly hardening materials (Gamer, 1984; Gamer, 1985). Güven extended these works to annular disks of variable thickness and variable density (Güven, 1992) and to fully plastic variable thickness solid disks with constant thickness in the central portion (Güven, 1994). Adomian's decomposition and homotopy perturbation methods have been used by Hojjati and Jafari for the solution of elastic (Hojjati & Jafari, 2008) and elastic-strain hardening (Hojjati & Jafari, 2009) non- uniform thickness and density rotating annular disks. Malkov and Salganskaya (Malkov et al, 1976) used numerical methods for optimization of rotating disks, but did not consider nonlinearity of constraints in the
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