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Equi-strength design of nonhomogeneous variable thickness high speed rotating disk under steady temperature field

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Abstract

Considering the mutual interaction between the thickness ofthe disk and temperature distribution, and directly using results in [1].[2] and the iteration method stage sied in this paper, we obtain the equi-strength thickness distribution of nonhomogeneous variable thickness high speed rotating disk under axisymmetrieal steady temperature field.

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References

  1. Yeh Kai-yuan and Hsu Chin-yun. General solution on certain problems of elasticity with nonhomogeneity and variable thickness: I. Elastic and plastic stress analyses of high speed rotating dise with nonhomogeneity and variable rhickness under nonhomogeneous steady temperature field.Journal of Lanzhou University (Natural Science), Special Number of Mechanics.1 (1979). 60–74;Acta Mechanica Sinica, Special Number (1981), 78–89; Presented in the15th International Congress of Theoretical and Applied Mechanics (Toronto) (1980).

    Google Scholar 

  2. Yeh Kai-yuan and Liu Ping, Steady heat conduction of a disc with nonhomogeneity and variable thickness,Applied Mathematics and Mechanics (English Edition),5, 5 (1984), 1587–1593.

    Google Scholar 

  3. Relitkii, G. C.,Structures and Strength Calculation of Steam Turbine's Parts. National Dynamic press (1955). (in Russian)

  4. Manson, S.S., The determination of elastic stresses in gas-turbine disks,NACA, TN-1279 (1949).

  5. Holms, G. and R. D. Faldetta, Effect of temperature distribution and elastic properties of materials on gas-turbine-disk stresses,NACA, TN-1334 (1947).

  6. Carslaw, H. S. and J. C. Jaeger,Conduction of Heat in Solids, Oxford, (1959).

  7. Li Ming-hua and Li Xu-chang, Design method for the stress at each point of blade wheel being permissible one at the same time,The Whole China Conference of Elasticity and Plasticity (Dalian) (1963). (in Chinese)

  8. Tu Ching-hua, The elastic and plastic stresses of high speed rotating disks at elevated temperature,Journal of Tsinghua University,6, 5 (1959), 81–96. (in Chinese)

    Google Scholar 

  9. Gurushankar, G. V., Thermal stresses in nonhomogeneous anisotropic rotating disk of varying thickness and density,J.S.A.,10, 3 (1975), 137–142.

    Google Scholar 

  10. Wang Zhu-xi, Guo Dun-ren,Treatise of Special Functions, Science press (1978). (in Chinese)

  11. Takeuchi Yoichiro,Thermal Stress, Science Press (1978). Chinese Translation)

  12. Timoshenko, S. and J. N. Goodier,Theory of Elasticity, People's Educational Publishing House, (1964). (Chinese Translation)

  13. Lee Ti-chang, On the stresses in rotating disc of variable thickness.Journal of Applied Mechanics,19, 3 (1952), 263–267.

    Google Scholar 

  14. Murthy, D. N. S. and A. W. Sherbourne, Elastic stresses in anisotropic disks of varying thickness,Int. J. Mech. Sci.,12, 7 (1970), 627–640.

    Google Scholar 

  15. Gururaja, K. and H., Srinath, Thermal stresses in anisotropic disks,J. Inst. Engrs. (India),53, 4 (1973), 5–10.

    Google Scholar 

  16. Yellareddy, T. and H. Srnath, Elasric stresses in rotating anisotropic annular disk of variable thickness and variable density,Int. J. Mech. Sci.,16, 2 (1974), 85–89.

    Google Scholar 

  17. Thompson, A. S., Stresses in rotating disks at high temperature,Journal of Applied Mechanics,13, 1 (1946), 45–52.

    Google Scholar 

  18. Liu Ping, Equi-strength design of nonhomogeneous variable thickness high speed rotating disk, Thesis of Master Degree of Lanzhou University. (1982). (in Chinese)

  19. The Teaching Faculty of Engine Structure of Beijing Institute of Aeronautics,Strength Calculation of Structure and Machine parts of Aeronautical Turbine engine. National Defence Publishing House (1961). (in Chinese)

  20. Liang Zhi-ming,Strength of Materials, People Educational publishing House (1958), 111–117 (in Chinese)

  21. Wang De-ren,Method for Solving a System of Nonlinear Equations and Optimum Method, People; Educational Publishing House (1979). (in Chinese)

  22. Bhavikatti, S. S., Optimum shape design of rotating disks,Computers and Structures,11, 5 (1980), 397–401.

    Google Scholar 

  23. Seireg, A. and K. S. Surana, Optimum design of rotating disks,J. Eng. Indu., Trans.ASME.92, 1 (1970), 1–10.

    Google Scholar 

  24. Ari-Gur, J. and Stavsky, On rotating polar-orthotropic circular disks.Int. J. Solids Structure,17, (1981), 57–67.

    Google Scholar 

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Authors and Affiliations

  1. Lanzhou University, Lanzhou

    Yeh Kai-yuan & Liu Ping

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  1. Yeh Kai-yuan
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  2. Liu Ping
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Projects Supported by the Science and Technic Fund of the National Education Committee

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Kai-yuan, Y., Ping, L. Equi-strength design of nonhomogeneous variable thickness high speed rotating disk under steady temperature field. Appl Math Mech 7, 825–834 (1986). https://doi.org/10.1007/BF01898124

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  • DOI: https://doi.org/10.1007/BF01898124

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