Large amplitude vibrations of clamped-free beams under thermal gradient

Abstract EN

The large amplitude vibrations of an elastic straight beam with clamped - free ends which have been subjected to thermal gradient are studied assuming that the beam is undergoing in extensional motion.

The rotary inertia and shearing effects are neglected.

This is because of their small values.

The governing equations are obtained by using Hamilton's principle.

The thermal effects on the nonlinear period and frequency ratios are shown through plots.

The more effective factor to the nonlinear vibration (large amplitude) is the second moment of area of the beam cross section.