A study published some years ago [1] investigated how linear damping affected the eigenvalues of proportionally damped systems, and the results were presented graphically. The necessary conditions for the system to be overdamped or underdamped were given with the help of simple formulae. After a brief summary of the previous work, these methods are applied to a uniform oscillator. With the aid of this simple system, it has been observed that students can comprehend the various types of proportional damping better, and be able to visualize them more easily.
MuravyovA. and HuttonS. G., ‘A geometrical interpretation of damping for discrete classicaly damped systems’, International Journal of Mechanical Sciences, 40(1) (1998), 83–86.
2.
MeirovitchL., Elements of Vibration Analysis (McGraw-Hill, New York, 1975).
3.
GürgözeM. and ÖzerA., ‘On the slightly damped uniform n-mass oscillator’, Computers and Structures, 59 (1996), 797–803.
