A main winch system of a rotary drilling rig includes a main action loop, a pilot control loop, and a feedback control loop. The main action loop includes an engine, a hydraulic pump, a main control valve, a balance valve, a main winch motor, and an oil tank. The pilot control loop includes a pilot handle, a solenoid valve I, a pressure relay, and the main control valve in the main action loop. The feedback control loop includes a solenoid valve II and the hydraulic pump and the main control valve in the main action loop. In response to a lifting action of the pilot handle for the main winch, under the control of a button, the solenoid valve II is energized continuously, and the solenoid valve I is energized and de-energized according to a given rule.

A hydraulic system includes a pressure-driven actuator operable to provide a mechanical output in response to a pressure input, a single hydraulic circuit communicating with the pressure-driven actuator, a vibratory actuator in the single hydraulic circuit and operable to generate a first component of the mechanical output at a first frequency, and a hydraulic supply apparatus separate from the vibratory actuator, in the single hydraulic circuit, and operable to generate a second component of the mechanical output at a second frequency less than the first frequency.

A mechanical system has a component, which is movable under friction. An oscillating micromotion (dither) is impressed upon the component, which, if necessary, is added to a non-oscillating base motion of the component. It is provided that the micromotion (without the base motion that is additional, if necessary) is faster within a period of the oscillation in the one direction and is of shorter duration than in the opposite direction (asymmetrical dither).