The effect of temperature variation on the free vibration of a simply supported curved sandwich beam with a flexible core

In this article, the free vibration of a singly curved sandwich beam with a transversely flexible core under various temperature conditions is investigated. The beam is assumed to have a constant width with simply supported end conditions. The core and face sheets are considered to be made of materials with temperature-dependent mechanical properties. In this model, faces of the sandwich beam are treated as thin beams with negligible shear strain and flexural rigidities obeying Bernoulli's assumptions. The analysis is based on the high-order sandwich panel theory. The core is assumed to possess vertical normal and shear stiffness and act as a medium that transfers its inertia load to face sheets. Equations of motion and boundary conditions are derived using Hamilton's principle. The variation of free vibration frequencies and eigenmodes of the beam with temperature variation considering the temperature gradient across the thickness is studied. The effect of geometrical parameters such as the ratios of the length and the thickness to the mean radius of the beam on the vibration response of the beam is investigated. It is found that the free vibration frequency of the beam would decrease when its temperature is increased.