In view of the shortcomings of complex structure of passive isolation of multi-dimensional vibration.The parallel mechanism which freedom degree and motion direction was consistent with vibration was applied to the principle of passive vibration isolation.It was discussed that the motion of the end piece of serial mechanism is the union of all kinematics pairs and the motion of moving platform of the parallel mechanism is the intersection of motion of branched-chains
so
"union and intersection method" was introduced to synthesis the device of passive isolation of multi-dimensional vibration."Union and intersection method" can also be used to guide the design of some other mechanisms.