Low velocity impact of transversely isotropic beams and plates
The dynamic structural contact problem of a rigid, smooth cylindrical striker impacting an elastically supported transversely isotropic beam and plate are solved. The solutions are obtained as a superposition of a static layer solution derived through the use of integral transforms with an elementary beam or plate theory solution that incorporates the dynamic effects. The problems are formulated in such a manner as to require the solution of a Volterra integral equation for each time step. Numerical results are presented for fixed and simply supported beams and plates. Three materials are used to study the effects of anisotropy: magnesium, which is nearly isotropic; cadmium, which is moderately anisotropic; and graphite/epoxy, which is highly anisotropic.
elastically supported transversely isotropic beam
superposition of a static layer solution
scientific article; zbMATH DE number 4003705