Abstract:An accurate mathematical model for vibrating wire sensors is introduced. The model can be used in the condition that the original frequency varies with temperature drifting and needs no any correction to compensate this drifting. Meanwhile,it is indicated that the model is similar to the linear one,and the variable difference will be estimated precisely just by setting the initial value to zero. Based on the two basic characters mentioned above,intelligent instruments adopting this model can show the measured parameters in digital forms,and help to process the measured data quickly and precisely. As a conclusion,a difficult problem which has been pensented for a long time in vibrating wire instruments field is then solved. In the end,some practical applications of this model are provided with initial frequency either measurable or immeasurable.