Optoelectronic measurement of the logarithmic decrement of free damped mechanical vibrations

Abstract

2Y~min ~ mp ~max is calculated for the given limiting motion parameters of the studied mechanism (~max, ~ min, ~mn max) and the desired instantaneous velocity measurement error Y~min.2. The optimal number of the angle converter marking Cma x is found from (6) considering the obtained value of A~o and the given maximum acceleration.3. To realize the first operating mode for which the measuring error is minimal, the reference generator frequency is calculated for ~mn m~x When the first operating mode cannot be implemented, e.g., when the reference generator frequency is limited, it is possible to design a digital rate meter operating in the second mode. With the given motion parameters, the reference generator frequency fo and the optimal number of angle converter markings are then determined from (7) and (8), and the permissible marking error is calculated from the inequality ~nm max > /6A~ofo.