附註:Includes bibliographical references (pages 391-399) and index.
Preface; Contents; Chapter 1 Introduction to Stability Theory; Chapter 2 Bifurcation Analysis of Eigenvalues; Chapter 3 Stability Boundary of General System Dependent on Parameters; Chapter 4 Bifurcation Analysis of Roots and Stability of Characteristic Polynomial Dependent on Parameters; Chapter 5 Vibrations and Stability of Conservative System; Chapter 6 Gyroscopic Stabilization; Chapter 7 Linear Hamiltonian Systems; Chapter 8 Mechanical Effects Associated with Bifurcations and Singularities; Chapter 9 Stability of Periodic Systems Dependent on Parameters.
Chapter 10 Stability Boundary of General Periodic SystemChapter 11 Instability Domains of Oscillatory System with Small Parametric Excitation and Damping; Chapter 12 Stability Domains of Non-Conservative System under Small Parametric Excitation; Concluding Remarks; Bibliography; Index.
摘要:This book deals with fundamental problems, concepts, and methods ofmultiparameter stability theory with applications in mechanics. Itpresents recent achievements and knowledge of bifurcation theory, sensitivity analysis of stability characteristics, general aspects ofnonconservative stability problems, analysis of singularities ofboundaries for the stability domains, stability analysis ofmultiparameter linear periodic systems, and optimization of structuresunder stability constraints.
