An inverse procedure for identification of loads on composite laminates

An inverse procedure is presented to determine the transient line loads on a surface of composite laminate. The procedure recovers the time history as well as the distribution functions of the line loads based on the displacement responses at one receiving point. It is assumed that the time and spatial dependencies of the loading function are separable. The hybrid numerical method is used to obtain two kernel functions, dynamic Green's function as well as the response function of Heaviside step excitation of the composite laminates. The displacement response to a load with an arbitrary force function is expressed in a form of convolution, where the continuous convolution functions are spatially and temporally discretized. The loading functions are recovered by optimizing a set of proposed error (objective) functions. Numerical verifications were performed to identify loads on composite laminate for both concentrated and extended cases. Very good agreements have been obtained in terms of both load distribution and its magnitude, where calculation converged within a small number of iterations.