Yanchevsky I. Ill-posed problems of the dynamics of construction's elements under impulse loadings

The work is devoted to creation of effective methods of solving of inverse problems and problems of controlling of the dynamic theory of elasticity in case of rod and shell construction's elements. Object of research is identification of loads, which influence these elements. Construction of solutions are based on mathematical models of specified mechanical systems, theories of integral Laplas' transformation, Volterra integral equations and ill-posed problems of mathematical physics. As result methods of finding steady solutions of put ill-posed problems with use of modern mathematical modeling are constructed; effective algorithms and appropriate softwares are created. Created mathematical means on identification of impulse loads and also effective methods of controlling deformable state of rod and shell elements make scientific novelty of work' results. Results of the work are adapted for direct implementation in practice, first of all in mechanical engineering and construction.