The use of generalized functions in the problem of elastic oscillations of composite rod (Q1314176)

The motion of a multicomponent anthropomorphic model is described by the equation of degenerate transverse oscillations of a one-dimensional system of rods with distributed mass and bending stiffness parameters and with concentrated inclusions into these parameters. The concentrated inclusions can be introduced into the analytic expression for the distributed parameters using impulse functions of the first and higher orders (the delta-function and its derivatives). The solution of the equations is found by the operational method. Some optimization problems for a model of the motion of a sportsman are solved in the framework of the direct problem of mechanics.