FIELD: dampening mechanical vibrations; suspensions of transport facilities. SUBSTANCE: method consists in filling the closed working reservoir formed by housing and hollow piston with working agent under rated pressure maintained through repeated bypass of working agent via valve units from working reservoir to first closed additional reservoir and from second closed additional reservoir to working reservoir followed by sealing-up these reservoirs relative to one another after bypass operation. Pressure of working agent in first additional reservoir is maintained at lower level as compared with that in working reservoir and at higher level as compared with second additional reservoir. Level of pressure of working agent in additional reservoirs differs from that in working reservoir by two and more times. Pneumatic shock-absorber includes housing and hollow piston forming closed working reservoir for working agent, first and second closed additional reservoirs connected with working reservoir by means of valve units and devices for securing the pneumatic shock-absorber to definite object or system. Valve units may be provided with pressure sensors. First and second additional reservoirs may be mounted on outer end surface of housing or on outer end surface of hollow piston. First additional reservoir may be mounted on outer end surface of housing and second additional reservoir may be mounted on outer end surface of piston and vice versa. First and second additional reservoirs may be changeable and may consist of several parts. Pneumatic shock-absorber may be provided with pressure building source, compressor for example; commutation valve system may be used as valve unit. EFFECT: enhanced efficiency of dampening mechanical vibrations; simplified construction of shock- absorber. 11 cl, 5 dwg
