Measuring the Young Modulus of Metal by Dynamic Suspension Method The Young Modulus is an important physical parameter of engineering materials. It stands for the resistive ability of the material against elastic deformation.Nowadays the"dynamic suspension method"is often applied in engineering technology.Its basic method is:hang a sample (rod)with homogeneous cross section area below two sensors (one for exciting the vibration and another for detecting the vibration).Force it to vibrate freely under the condition that the two end are free.Measure the natural fundamental frequency and measure the Young modulus of the sample according to its parameters such as geometric size,density and so forth. Purpose: 1.Measuring the Young modulus of metal materials by dynamic suspension method 2.Studying the method to determine the resonance frequency at the sample nodes Requirement: 1.Calculate the resonance frequency at the node by epitaxial method. 2.Measure the Young modulus of metal materials at room temperature. Principle: According to the equation of transverse vibration of a rod: oy-0 0r2 (1) Solve the equation by method of separation of variables.For the round shaped rod,we get: E=1.6067尺 (2) In above two equations,E is the Young modulus,I is the length of the rod,d is the diameter of the rod,S is the area of the rod cross section,p is the density of rod,m is the mass,f is the natural frequency of the transverse vibration of the rod,J is the polar moment.Measuring the Young Modulus of Metal by Dynamic Suspension Method The Young Modulus is an important physical parameter of engineering materials. It stands for the resistive ability of the material against elastic deformation. Nowadays the “dynamic suspension method” is often applied in engineering technology. Its basic method is: hang a sample (rod) with homogeneous cross section area below two sensors (one for exciting the vibration and another for detecting the vibration). Force it to vibrate freely under the condition that the two end are free. Measure the natural fundamental frequency and measure the Young modulus of the sample according to its parameters such as geometric size, density and so forth. Purpose: 1. Measuring the Young modulus of metal materials by dynamic suspension method 2. Studying the method to determine the resonance frequency at the sample nodes Requirement: 1. Calculate the resonance frequency at the node by epitaxial method. 2. Measure the Young modulus of metal materials at room temperature. Principle: According to the equation of transverse vibration of a rod: 0 4 4 2 2 2 =           +   x y S EJ t y  (1) Solve the equation by method of separation of variables. For the round shaped rod, we get: 2 4 3 1.6067 f d l m E = (2) In above two equations, E is the Young modulus, l is the length of the rod, d is the diameter of the rod, S is the area of the rod cross section, p is the density of rod, m is the mass, f is the natural frequency of the transverse vibration of the rod, J is the polar moment