Longitudinal Vibration of Temperature Dependent Bar with Variable Cross-Section

Year 2018, Volume: 21 Issue: 4, 813 - 819, 01.12.2018

Ersin Demir

https://doi.org/10.2339/politeknik.426643

Abstract

Vibration behavior of a bar with
variable cross-section, which its material properties vary with temperature, is
investigated in this study. In the analysis, not only theoretical solution but
also numerical solution is performed for validation. The numerical analysis is
overcome by SolidWorks program based on finite element method. Four types of
effects on the bar are investigated. These are effects of temperature
variation, geometric ratio, slenderness ratio and mode numbers variation. The
temperature is increased from 22 °C
to 250 °C.
The geometric ratio is varied from 0 to -1/L at intervals of 0.25/L. The
slenderness ratio is varied from 1/10 to 1/20 by increasing the length of bar
from 200 mm to 400 mm. As for the mode numbers, the first three mode shapes are
examined in the analysis. The boundary condition of the bar is taken as
clamped-free. According to the results, the natural frequency decreases with
increasing the temperature. The natural frequency also decreases with
decreasing the slenderness ratio. But, it increases with decreasing the
geometric ratio and also increases with increasing the mode number. When the
theoretical and numerical results are examined, it is seen that the results are
in harmony.

Keywords

Bar, temperature, vibration, variable cross-section

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