On the Nonlinear Vibrations of a Particle in the Plane |
Contents
FORMULATION OF THE PROBLEM | 10 |
IV | 13 |
NONSIMILAR NORMAL MODE VIBRATION | 58 |
2 other sections not shown
Common terms and phrases
3BD² asymptotically stable B₁ BD² C₁ CORN CORNELL CORNELL CORNELL CORNELL CORNELL LIBRARY CORNELL LIBRARY CORNELL CORNELL UNIVERSITY CORNELL CORNELL UNIVERSITY LIBRARY D-e plane d₁ D₂ diagram for equation differentiation with respect equation 4-7 equations of motion Equipotential curve Figure Floquet theory identical linear springs identical springs infinite number LIBRARY CORNELL CORNELL LIBRARY CORNELL LIBRARY LIBRARY CORNELL UNIVERSITY LIBRARY UNIVERSITY CORNELL linear differential equation linearized variational equations modal curve 5-11 NIVERSITY LIBRARY CORNELL nonlinear nonsimilar normal mode normal modal curve normal mode vibrations number of transition orbitally stable original length particle periodic function Phase plane physical interest plane restrained problem region of instability region of physical Regions of stability similar normal modes spring constant springs with initial Stability diagram stability of 4-54 transition curves lie transition points transition values unbounded solutions UNIVERSITY UNIVERSITY CORNELL UNIVERSITY UNIVERSITY UNIVERSITY unstable x-mode y₁(x Y₂(x