We discuss two techniques useful in the investigation of periodic solutions of broad classes of non-linear non-autonomous
ordinary differential equations, namely the trigonometric collocation and the method based upon periodic successive approximations.
Authors:Evgeniy V. Kulish, Marat M. Abashev, Anna Ivannikova, and Alexey Schenyatsky
Numerical-analytical methods based on variation approach to the tasks of mechanics of deformable solid, liquid, gas, hydro- and thermodynamics, multilinked contact and on analytical decisions of loosely-coupled tasks are presented in this paper. The suggested numerical-analytical method allows investigating on high technological level the high-strength joints with guaranteed interference (pressed, hydropressed, thermal, multilayered, autofrettaged, multi-contact (polyjoints)) at various stages of life cycle, except for recycling. Method allow: to determine mode of deformation, joint loading capacity in view of technology factor influence; to calculate parameters of technological processes with the diverse contact effects proceeding in joints, assembled by various methods.