Effect of Natural Frequency in a Low Mass Flexible Vertical Slender Beams

Abstract

In this paper thermal-structural behaviour of an internally heated vertical low mass cantilever beam was analyzed by a mathematical model and finite element analysis. The obtained results are verified with experimental results. The analysis shows that when natural frequency of the beam is in the range of 0.788 to 1.051Hz thermally induced vibrations occur. This indicates that determining natural frequency of the beam is more important than the heating rate. Outside the range of 0.788 to 1.051 Hz, thermally induced vibrations are absent since thermal moment developed due to temperature difference is insufficient to drive the beam.