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Control of stress response in a rotating infinite hollow multilayered piezoelectric cylinder

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Abstract

The theoretical study of the control of stress is developed for a rotating infinite hollow multilayered radially polarized piezoelectric cylinder. The exact solution is obtained by means of the state-space method. As an illustrative example, the distribution of the radial and tangential stresses in a rotating hollow internally pressurized five-layered piezoelectric cylinder subjected to different electric potential at the internal and external surfaces are performed. Numerical results show that the distribution of the stress can be controlled by applying appropriate electric potentials at the correct surfaces.

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References

  1. Tang S. (1969). Elastic stresses in rotating anisotropic disks. Int. J. Mech. Sci. 11: 509–517

    Article  Google Scholar 

  2. Murthy D.N.S., Sherbourne A.N. (1970). Elastic stresses in anisotropic disks of variable thickness. Int. J. Mech. Sci. 12: 627–640

    Article  Google Scholar 

  3. Reddy T.Y., Srinath H. (1974). Elastic stresses in a rotating anisotropic annular disk of variable thickness and variable density. Int. J. Mech. Sci. 16: 85–89

    Article  Google Scholar 

  4. Chang C.I. (1974). A closed-form solution for an orthotropic rotating disk. ASME J. Appl. Mech. 41: 1122–1123

    Google Scholar 

  5. Genta G., Gola M. (1981). The stress distribution in orthotropic rotating disks. ASME J. Appl. Mech. 48: 559–562

    Article  MATH  Google Scholar 

  6. Yeh K.Y., Han R.P.S. (1994). Analysis of high-speed rotating disks with variable thickness and inhomogeneity. ASME J. Appl. Mech. 61: 186–191

    Article  MATH  Google Scholar 

  7. El-Naggar A.M., Abd-Alla A.M., Ahned S.M. (1995). On the rotation of a non-homogeneous composite infinite cylinder of orthotropic material. Appl. Math. Comput. 69: 147–157

    Article  MATH  Google Scholar 

  8. Horgan C.O., Chan A.M. (1999). The stress response of functionally graded isotropic linearly elastic rotating disks. J. Elast. 55: 219–230

    Article  MATH  MathSciNet  Google Scholar 

  9. Durodola J.F. (2000). Deformation and stresses in functionally graded rotating disks. Compos. Sci. Technol. 60: 987–995

    Article  Google Scholar 

  10. Chen W.Q., Lee K.Y. (2004). Stresses in rotating cross-ply laminated hollow cylinders with arbitrary thickness. J. Strain Anal. 39: 437–445

    Article  Google Scholar 

  11. Callioglu H. (2004). Stress analysis of an orthotropic rotating disc under thermal loading. J. Reinf. Plast. Comp. 23: 1859–1867

    Article  Google Scholar 

  12. Rao S.S., Sunar M. (1994). Piezoelectricity and its use in disturbance sensing and control of flexible structures: a survey. Appl. Mech. Rev. 47: 113–123

    Article  Google Scholar 

  13. Ishihara M., Noda N. (2004). Control of mechanical deformation of a laminate by piezoelectric actuator taking into account the transverse shear. Arch. Appl. Mech. 74: 16–28

    Article  MATH  Google Scholar 

  14. Galic D., Horgan C.O. (2003). The stress response of radially polarized rotating piezoelectric cylinders. ASME J. Appl. Mech. 70: 426–435

    Article  MATH  Google Scholar 

  15. Adelman N.T., Stavsky Y., Segal E. (1975). Axisymmetric vibration of radially polarized piezoelectric ceramic cylinders. J. Sound Vib. 38: 245–254

    MATH  Google Scholar 

  16. Kharouf N., Heyliger P.R. (1994). Axisymmetric free vibrations of homogeneous and laminated piezoelectric cylinders. J. Sound Vib. 174: 539–561

    Article  MATH  Google Scholar 

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Correspondence to H. M. Wang.

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Wang, H.M., Ding, H.J. Control of stress response in a rotating infinite hollow multilayered piezoelectric cylinder. Arch Appl Mech 77, 11–20 (2007). https://doi.org/10.1007/s00419-006-0074-0

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  • DOI: https://doi.org/10.1007/s00419-006-0074-0

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