Dynamic Mechanical Analysis by Transverse Flexion

The process of calibrating the apparatus consists in finding the parameters m, S, and So that allow the solution of these equations. Without a test sample, one has 

From these equations and taking into account that co = Inf, expressions are obtained for the parameters m, and S. 

The constant K, on which the calculation of E and E depends, is a function of the geometric dimensions of the sample. For a rectangular cross-sectional sample of width b and thickness d clamped at its extremities, K is given by 

Substituting the value of I given in Eq. (7.48a) into the equation for the maximum deformation, Eq. (7.48) immediately follows, and consequently Eq. (7.47) is justified. 

It should be pointed out that p a in order to avoid exponential solutions that increase with time. The inverse Laplace transform of x( ) can be achieved by decomposing x(5) into simple functions 

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