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Analysis of the operation of a hollow thick-walled cylinder in the case of a stationary axisymmetric temperature load

Authors

Kalmova Maria

Rubric:Mechanical engineering
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Annotation

The work of a hollow thick-walled cylinder made of anisotropic material is analyzed in the case of a stationary axisymmetric load acting on it. The law of change in the increment of the temperature load in the cylinder is known. The design scheme is represented by a thick-walled cylinder, the end surfaces of which are rigidly fixed in the axial plane, and there are no fasteners in the radial plane, the cylindrical surfaces are stress-free. It is concluded that only radial and circumferential deformations can be taken into account in the calculations, and relative deformations along the height of the cylinder can be neglected.

Keywords

axisymmetric problem
finite integral transformations
stationary action.
thermoelectroelasticity

Authors

Kalmova Maria

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References:

  1. Bardzokas D.I. Mathematical modeling in problems of mechanics of coupled fields. Vol. II: Static and dynamic problems of electroelasticity for composite multi–connected bodies. - M.: Komkniga, 2005. – 376 p.
  2. Kovalenko A.D. Introduction to thermoelasticity. – Kiev: Nauk. Dumka, 1965. - 204 p.
  3. Grinchenko V.T., Ulitko A.F., Shulga N.A. Mechanics of coupled fields in structural elements. – Kiev: Nauk. Dumka, 1989. – 279 p.
  4. Senitsky Yu.E. The method of finite integral transformations – a generalization of the classical decomposition procedure by eigenvector functions // Izv. Saratov University. A new series. Math., mechanics., computer science, – 2011. – № 3(1). – pp. 61-89.
  5. Kalmova M.A. Unsteady mechanics of radial axisymmetric thermoelectroelastic fields in a long piezoceramic cylinder: dis. ... candidate of Technical Sciences: 1.1.8 / Kalmova Maria Alexandrovna. – Samara, 2023. – 142 p.

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