Method To Determine the Elastic Constants of Polymeric Fibers Reinforced Composite Using Finite Element Vibration Analysis

In this paper, it is proposed a systematic presentation of the known methods for determining the elastic constants of a composite material using the vibration response. For a series of bodies with a simple shape, the value of the eigenfrequencies for different boundary conditions can be calculated with the standard formula (for example for beams, plates, or cylinders). These values depend on the elastic constants of the materials through simple formulas. So, if we know the eigenfrequencies for a certain particular shape of bodies made of a certain material, the elastic constants (or some of them) can be easily determined. The most accurate methods to determine these values of eigenfrequencies are, obviously, experimental methods. However, these methods are generally expensive in terms of time and resources. As a result, especially if we are in the design phase, it is very advantageous if we can determine these values from the calculations. For this, the Finite Element Method (FEM) is used in the paper. Cases are presented in which these values can be calculated with relative ease and therefore the values of the elastic constants can be obtained with less effort.