Abstract: In order to compare the influence of weight function on computational precision,the quartic spline function and exponential function were chosen as the weight function.Two interpolation functions were used as field functions and Meshless dynamic equations were built.The penalty method was utilized to enforce essential boundary conditions and frequency and modal vector were computed.Two Meshless results of free vibration of beam and their different radius were compared with analytical results.The numerical example of beam structrue validated the method are reliable.

Key words: structural mechanics, free vibration, weight function, structure dynamics, computional precision