A numerical comparative study on heat generation pattern for different materials based on eigenfrequencies

Eigenfrequencies also known as natural frequencies, are certain discrete frequencies at which a system tends to vibrate. Natural frequencies are inherent, hence all bodies, whether they are made by man or by nature have their own set of natural frequencies that they tend to vibrate at. For instance, man-made musical instruments like the harp, have their own set of natural frequencies, and when they vibrate at theses frequencies, they give rise to standing waves. In mechanical structures such as building or bridges, eigenfrequencies are of special interest and concern, as they can be used to predict when a structure will fail. In this paper, we will analyse five fundamental eigenfrequency values for five different materials. Each material studied is used to manufacture spur gears for various applications. There is also a trend in variation of temperature of the material with its respective eigenfrequencies. The purpose of this paper is to investigate the variation of temperature with eigenfrequencies for different materials studied as well as report on the most suitable material based on the minimum vibration observed.