Abstract: The general form of determinate solution problem on the equations of mathematical physics is deduced for a transverse rod vibration. The exact solution of a homogeneous rod vibration frequency as a function of load＇s position and quality is solved. Based on this theory,a kind of dynamic measurement method of Young＇s modulus is presented. The theory is verified by our experiments and the measurement of Young＇s modulus is consistent with one in the traditional bending method.

Key words: resonance frequency, dynamical method, Young＇s modulus