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Non-Stationary Vibrations of Viscoelastic Circular Cylindrical Thick Shell Under the Influence of Temperature

In: Mathematical Modeling, Simulation, Visualization and e-Learning

Author

Listed:
  • F. A. Amirkulova

Abstract

In the represented work, free from hypotheses and preconditions used in known classical and refined theories, the new refined theory of non-stationary vibrations of the circular cylindrical viscoelastic thin and thin walled shells and columns concerning the temperature is developed. The developed method of a deduction of the partial differential vibration equations is based on the 3D problems' exact mathematical formulation of the theory of elasticity and their general solutions in transformations. As the basic unknown functions the displacements of intermediate surface of the shell which can change into median, external or internal surface are accepted. The calculation algorithm of temperature, stress and displacement field by values of the unknown functions is offered, allowing to formulate applied problems on its vibrations. On the basis of the developed approach a number of applied problems are solved and numerical results are received. The thermo-stressed state of the semi-infinite viscoelastic cylindrical thick walled shell excited by kinematic influence at the end face and temperature influence on the shell's surfaces is explored.

Suggested Citation

  • F. A. Amirkulova, 2008. "Non-Stationary Vibrations of Viscoelastic Circular Cylindrical Thick Shell Under the Influence of Temperature," Springer Books, in: Dialla Konaté (ed.), Mathematical Modeling, Simulation, Visualization and e-Learning, pages 271-289, Springer.
    • Handle: RePEc:spr:sprchp:978-3-540-74339-2_17
    DOI: 10.1007/978-3-540-74339-2_17
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