Free vibrations of simply supported curved sandwich beam with transversely flexible and temperature dependent core

In this paper, the free vibration response of singly curved sandwich beams with a transversely flexible and temperature dependent core is presented. The beam is assumed to have constant width with simply supported end conditions. The core is assumed to be transversely flexible in the radial direction. Both the core and face sheets are made of materials with temperature dependent mechanical properties. The faces of sandwich beam are treated as thin beams with negligible shear strain and flexural rigidities obeying Bernoulli's assumptions. The core is assumed to possess vertical normal and shear stiffness. The analysis is based on the high order sandwich panel theory (HSAPT). In this model the core is considered as a medium that transfers its inertia loads to the face sheets. Linear equations of motion and the boundary conditions are derived with the help of calculus of variation based on Hamilton's principle. The effect of temperature increase in free vibration response of the beam is studied and variations of the eigenmodes and their appropriate frequencies are presented.

Keywords:

Curved sandwich beam , Free vibrations , Thermal degradation , High order sandwich theory