Analysis of singularized motion equations of latticed vibroimpact 2D systems in renouncing Newton’s hypothesis

Resumo

Mathematical models of a 2D latticed structure colliding with a fixed catcher are considered. Consideration of these models is relevant in connection with the development of scientific bases for the design and calculation of machines and structures. The system is analyzed by time–frequency analysis and singularization methods. The calculation techniques of resonant modes are presented and the defining relations are derived.