Abstract
A rotating disc and cylinder, as shown in Fig. 11.1, are often used as vane wheel and rotating axle of a propeller in many branches of engineering. When disc and cylinder rotate at an angular speed ω about their central axis, the stress and displacement caused by the centrifugal force are axisymmetric, i.e., σ r , σ θ and radial displacement u r are related to radius r only. The rotating disc is in the generalized plane stress state, and rotating cylinder is in the generalized plane strain state.
This is a preview of subscription content, log in via an institution.
Buying options
Tax calculation will be finalised at checkout
Purchases are for personal use only
Learn about institutional subscriptionsPreview
Unable to display preview. Download preview PDF.
References
Berman I, Pai DH (1972) A theory of anisotropic steady state creep. Int. J. Mech. Sci., 14(11):755–763
Chakrabarty J (1987) Theory of plasticity. McGraw-Hill, New York
Gamer U (1983) Tresca’s yield condition and the rotating disk. J. Appl. Mech., 50:676–678
Gamer U (1984) Elastic-plastic deformation of the rotating solid disk. Ingenieur-Archiv; 54:345–354
Güven U (1992) Elastic-plastic stresses in a rotating annular disk of variable thickness and variable density. Int. J. Mech. Sci., 34(2):133–138
Güven U (1994) The fully plastic rotating solid disk of variable thickness. J. Appl. Math. Mech. (ZAMM), 74(1):61–65
Heyman J (1958) Plastic design of rotating discs. Proc. Inst. Mech. Engng., 172:531–538
Hu TC, Schield RT (1961) Minimum volume of disc. J. Appl. Math. Phys. (ZAMP) 12(5):414–421
Huang WB, Zeng GP (1989) Solving some plastic problems by using the Twin shear stress criterion, Acta Mechanica Sinica, 21(2):249–256 (English abstract)
Lenard L, Haddow JB (1972) Plastic collapse speeds for rotating cylinders. Int J. Mech. Sci., 14:285–292
Li YM (1988) Elasto-plastic limit analysis with a new yield criterion (twin-shear yield criterion), J. of Mech. Strength, 10(3):70–74 (in Chinese)
Ma GW, Hao H, Miyamoto Y (2001) Limit angular velocity of circular disc using unified yield criterion. Int. J. Mech. Sci., 43:1137–1153
Ma GW, Yu MH, Iwasaki S, Miyamoto Y, Deto H (1995) Unified elasto-plastic solution to rotating disc and cylinder. Journal of Structural Engineering, JSCE, 41A:79–85
Save MA, Massonnet CE (1972) Plastic analysis and design of plates, shells and disks, North-Holland Publ. Co., Amsterdam
Save MA, Massonnet CE, Saxce G de (1997) Plastic limit analysis of plates, shells and disks. Elsevier, Amsterdam
Timoshenko SP, Goodier JN (1951) Theory of elasticity. McGraw-Hill, New York
Yu MH (1992) A New System of Strength Theory. Xi’an Jiaotong University Press, Xi’an, China (in Chinese)
Yu MH (2004) Unified strength theory and its application, Springer, Berlin
Yu MH, He LN (1991) A new model and theory on yield and failure of materials under the complex stress state. In: Mechanical Behavior of Materials-6, Pergamon Press Oxford, 641–645
Yu MH, He LN, Song LY (1985) Twin shear stress theory and its generalization, Scientia Sinica (Science in China), English ed. Series A 28(11):1174–1183; Chinese ed., Series A, 28(12):1113–1120
Rights and permissions
Copyright information
© 2009 Zhejiang University Press, Hangzhou and Springer-Verlag GmbH Berlin
About this chapter
Cite this chapter
(2009). Limit Angular Speed of Rotating Disc and Cylinder. In: Structural Plasticity. Advanced Topics in Science and Technology in China. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88152-0_11
Download citation
DOI: https://doi.org/10.1007/978-3-540-88152-0_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88151-3
Online ISBN: 978-3-540-88152-0
eBook Packages: EngineeringEngineering (R0)