Dampening of oscillatory motion

[thefancybum]

Is there a quantitative relationship between dampening of a mass on a spring and time. I need some help on how to go about finding a mathematical relationship of dampening of a mass on a spring.

thank you

 

[AlephZero]

See http://www.tech.plym.ac.uk/soe/james/my_papers/STRC201_SDOF_JMWB.pdf

Or google for free vibration of SDOF systems (SDOF = single degree of freedom)