I take pleasure submitting for your attention the results of our investigation in seeking exact analytical solutions for nonlinear dynamic systems. Please read these results in our report
These results allow reducing effectively the nonlinear models to linear for which we have solved a wide spectrum of problems before. About some of solved problems - for homogeneous and heterogeneous, finite and infinite ideal and resistant systems, for linear, bended and closed-loop, distributed and lumped systems, with the force affecting on the butt or internal elements, with different inclination of force, for systems having complex-resonance subsystems etc. - you are welcomed to read in our e-journal SELF Transactions
where the paper on nonlinear issues has been published also.
The fact that the obtained solutions are exact and analytical essentially deepens and broadens the scope to analyse complex vibrant systems. This enables to refine the conventional calculations and gives a powerful push for the optimisation of synthesis of nonlinear systems. With the help of new electromechanical analogy DEMA developed by us, these results can be applied for solving the nonlinear problems of electric circuits.
Surely, many Colleagues will see in the presented methodology the way to solve their basic and engineering problems. We happily will assist and/or promote you to achieve progress in your research.
Sergey B Karavashkin
Head Special Laboratory
for Fundamental Elaborations SELF