Title :
A new analytical approach to derive global function form of periodic solutions for impact oscillator
Author :
Imamura, Hitoshi
Author_Institution :
Dept. of Mech. Eng., Ibaraki Univ., Japan
Abstract :
A new analytical method to derive exact global form of all periodic solutions appearing in one degree of freedom forced impact oscillator is proposed. The method proposed here based on pseudo-feedback approach that has been introduced by authors to obtaining general solutions globally for piecewise linear systems. According to this method, the function form of all periodic solutions are globally represented by superposition of stationary periodic solution for linear system and finite number of periodic functions which are constructed by infinite number of responses caused by converted equivalent nonlinearity.
Keywords :
nonlinear functions; oscillators; piecewise linear techniques; finite number; global function form; impact oscillator; periodic functions; periodic solutions; piecewise linear systems; pseudo-feedback approach; Differential equations; Force feedback; Linear systems; Linearity; Mechanical engineering; Mechanical systems; Nonlinear dynamical systems; Nonlinear systems; Oscillators; Piecewise linear techniques;
Conference_Titel :
Circuits and Systems, 2004. MWSCAS '04. The 2004 47th Midwest Symposium on
Print_ISBN :
0-7803-8346-X
DOI :
10.1109/MWSCAS.2004.1354235
