NASA Technical Reports Server (NASA) · 44 citations · 41 references
Open access
EngineeringMechanical EngineeringDynamical SystemsStructural DynamicsVibrationContinuous SystemsControl TheoryEquilibrium AnalysisNonlinear MechanicsStabilityStability TheoryDiscrete Nonlinear SystemsDissipative DynamicsDissipative MechanismsDissipative ProcessesLyapunov StabilityLyapunov Stability TheoryStability Of Continuous SystemsSystem Stability
A monograph on problems of stability of equilibrium of mechanical systems with follower forces is presented. Concepts of stability and criteria of stability are reviewed briefly, together with means of analytical specification of follower forces. Nondissipative systems with two degrees of freedom are discussed, and destabilizing effects due to various types of dissipative forces both in discrete and continuous systems, are treated. The analyses are accompanied by some quantative experiments and observations on demonstrational laboratory models.
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Methods of Theoretical Physics
Philip Μ. Morse, Herman Feshbach, E. L. Hill · American Journal of Physics · 1954 · 13.3K citations
Some Extensions of Liapunov's Second Method
J. P. LaSalle · IRE Transactions on Circuit Theory · 1960 · 886 citations