An iron-less single side permanent magnetic linear motor structure is presented

and two-dimensional analytical formulae for its magnet field are deduced to design the types of magnet arrays

thickness of permanent magnet

and duty ratio of magnet arrays

etc. With the certain design parameters

a conventional array comes into use instead of a piecewise Halbach arrays

and the machining and assemblage of the motor are greatly simplified. The calculation results are in accordance with that of ANSYS. The analytical formulae can be used in design of a cored linear motor by modifying boundary conditions. A linear motor driven bench with single degree of freedom is realized

where the travel reaches to 27 mm

mass of the moving parts 1.4 kg

and maximum acceleration 11.5 m/s

2

.