Analytical Modeling of Low-Velocity Variable Angular Impact on Rectangular Plates

This study is associated with the effects of low-velocity impacts on a rectangular plate at different angles. Low-velocity impacts affecting the enduring strength of the material are very alarming for the designers. In this work, an analytical approach of impact loading on isotropic rectangular plates at different angles is developed. Kirchhoff's plate theory is used to model the simply supported isotropic rectangular plate. The nonlinear response is determined using the impulsive loading, and the impact response is controlled by wave propagation. Spherical indenter is sculpted using the Hertz contact law, which is modified by adding a finite coefficient of friction mu that arises among the surfaces in contact. The equation obtained to compute the system response, depends on the inelasticity parameter lambda. Lambda is a function of impact velocity and constraints describing the impactor and the plate. Indentation versus forces for different angles is plotted, and at specific force, the presence of mu demonstrates a major role in determining the indentation. Indentation variation with impact angle highlights the effects of dynamic friction coefficient. The analytical results are compared with the experimental and simulation data, and a close agreement is found among them. [GRAPHICS] .