טכניון מכון טכנולוגי לישראל
הטכניון מכון טכנולוגי לישראל - בית הספר ללימודי מוסמכים  
M.Sc Thesis
M.Sc StudentMeimukhin Danila
SubjectResponse Regimes of Essentially Non Linear Oscillatory
Systems under Impact Periods Forcing
DepartmentDepartment of Mechanical Engineering
Supervisor Professor Oleg Gendelman
Full Thesis textFull thesis text - English Version


Abstract

This thesis consists of two parts. The first part is devoted to systems with one DOF. We investigate the response regimes of integrable inherently nonlinear damped oscillator in the conditions of periodic impact loading. Integrability is achieved by special choice of the coefficients of the model. Stable and unstable response regimes corresponding to single - period responses are solved analytically. Numeric simulations are undertaken in order to verify the extent to which the single - period solutions describe the global dynamics of the system. For some regions in the parameters space and for some initial conditions the later it true; for other regions, co-existence of different response regimes for different initial conditions is solved and investigated. In the second part of the thesis we investigate systems with two DOF. Influence of initial conditions on modes of oscillation is researched. Averaging technique is used and exploration in different time scales is made for building slow manifold. Optimization for nonlinear absorber is made using slow manifold. Numerical simulations are completed in order to check the analytic model and compare it to linear system.