Nonlinear forced vibrations of symmetric systems by group representation theory
Abstract
Group representation theory is used to analyze the forced vibrations of symmetrical nonlinear elastic systems with a finite number of degrees of freedom. The system is characterized by a number of symmetrical operators forming a group. A symmetrical vector base corresponding to a group representation is defined, and lowerorder equations of motion are derived in the symmetrical system of coordinates. The analysis makes possible the evaluation of the exact solution of nonlinear forced vibrations of symmetrical systems when the forcing function is acting along one of the symmetry adapted coordinates.
 Publication:

Journal of Technical Physics
 Pub Date:
 1976
 Bibcode:
 1976JTePh..17..171M
 Keywords:

 Elastic Systems;
 Forced Vibration;
 Group Theory;
 Nonlinear Systems;
 Springs (Elastic);
 Structural Vibration;
 Equations Of Motion;
 IsisA;
 Steady State;
 Vector Spaces;
 Physics (General)