Shallow Axi-symmetric Bimetallic Shell as a Switching Element in a Non-Homogenous Temperature Field

Author(s)
Marko Jakomin

Abstract

In this contribution we discuss the stability of thin, axi-symmetric, shallow bimetallic shells in a non-homo- geneous temperature field. The presented model with a mathematical description of the geometry of the system, displacements, stresses and thermoelastic deformations on the shell, is based on the theory of the third order, which takes into account not only the equilibrium of forces on a deformed body but also the non-linear terms of the strain tensor. The equations are based on the large displacements theory. As an example, we pre- sent the results for a bimetallic shell of parabolic shape, which has a temperature point load at the apex. We translated the boundary-value problem with the shooting method into saving the initial-value problem. We calculate the snap-through of the system numerically by the Runge-Kutta fourth order method.

In this contribution we discuss the stability of thin, axi-symmetric, shallow bimetallic shells in a non-homo- geneous temperature field. The presented model with a mathematical description of the geometry of the system, displacements, stresses and thermoelastic deformations on the shell, is based on the theory of the third order, which takes into account not only the equilibrium of forces on a deformed body but also the non-linear terms of the strain tensor. The equations are based on the large displacements theory. As an example, we pre- sent the results for a bimetallic shell of parabolic shape, which has a temperature point load at the apex. We translated the boundary-value problem with the shooting method into saving the initial-value problem. We calculate the snap-through of the system numerically by the Runge-Kutta fourth order method.

Keywords

Bimetallic Shell, Non-Homogenous Temperature Field, Snap-Through of the System, Large Displacement Theory

Bimetallic Shell, Non-Homogenous Temperature Field, Snap-Through of the System, Large Displacement Theory

Cite this paper

M. Jakomin, "Shallow Axi-symmetric Bimetallic Shell as a Switching Element in a Non-Homogenous Temperature Field,"*Engineering*, Vol. 3 No. 2, 2011, pp. 119-129. doi: 10.4236/eng.2011.32015.

M. Jakomin, "Shallow Axi-symmetric Bimetallic Shell as a Switching Element in a Non-Homogenous Temperature Field,"

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