This calculator will determine the shock response to a dropped weight. The spring and damper are
mass-less and, therefore, the results are valid for both the case of 1) the spring/damper attached to
the bottom of the weight and dropped onto a hard surface and 2) the rigid weight dropped onto the
spring/damper. This version is limited to one vertical degree of freedom.
The input includes the weight, drop height, spring constant, viscous damping value, gravitational
constant and initial velocity if not zero.
The calculations include un-damped natural frequency of the weight on the spring, critical damping
value, damping ratio, time to initial impact, maximum upward (-) direction acceleration, maximum
downward (+) acceleration and maximum deflection after impact.
Several response cycles are charted. The charted response is limited to the pre-coded number of
time steps which is dependent on the drop height and natural time period. A caution note is activated
if the limit is exceeded. The results are still valid with the caution but the time response will have fewer
than the normally charted number of response cycles.
The calculation does not require that the weight adheres to the spring/damper at impact and beyond
and therefore can "bounce."
Any consistent set of dimensional units can be used that is consistent with Hz and seconds.
For no damping the the maximum displacement will match the theoretical value to within 1% where