ABSTRACT
The effect of thermal loading on the nonlinear vibrations and deflection of a shallow unsymmetrical heated orthotropic sandwich shell of double curvature with orthotropic core has been discussed in the present chapter. Due to inclusion of the temperature term in the stress-strain relations of each face sheet of the orthotropic shell, the strain energy equation has changed. Now executing Euler’s variational principle to minimise the total potential energy of the orthotropic system, five differential equations are obtained which include the governing equation. From the solution of the governing equation, the deflection of a heated rectangular and square orthotropic sandwich shell of double curvature has been determined at different temperatures for different aspect ratios and shown graphically. For the free vibration of a heated simply supported orthotropic sandwich cylindrical shell, the governing nonlinear differential equation has been solved by the Adomian decomposition method. A comparative study of nonlinear to linear frequency ratio vs. temperature has been made for a square and rectangular orthotropic sandwich shell with an orthotropic core for both immovable and movable edges, and is presented graphically.
