Mathematical Modeling of Tape Media Deformation in Static State

Abstract

When estimating the jamproof mechanisms of magnetic recording it is important to know the distribution of magnetic tape deformations across its width. Elastic deformations of the tape across its width and length directly influence the temporary scale of information display if these elastic lengthening of the tape may be compared according to its value with the dimensions of magnetized zones on the paths of the magnetic tape. To estimate the tape length increase, the theoretical investigations of the elastic magnetic tape strain are conducted under the effect of load distributed at its ends. Theoretically the problem is investigated by solving the equation of elasticity theory for plain deformed state. When solving the problem in an analytic way by means of Fourier method, a system of ordinary differential equations is obtained that is solved by constant variation method or by means of Duhamel integral.