Instability of Continuous Systems: Symposium Herrenalb (Germany) September 8–12, 1969

Front Matter....Pages I-XII
Application of Liapunov’s Direct Method to the Stability Problem of Rods Subject to Follower Forces....Pages 1-10
Frequency Domain Criteria for Stability of Systems Modeled by Certain Partial Differential Equations....Pages 11-14
A Note on Imperfection Sensitivity of Thin Plates on a Non-linear Elastic Foundation....Pages 15-18
A Stability Criterion for Non-linear Continua....Pages 19-24
L’Étude de la Stabilité Élastique et des Efforts du II e Ordre par la Méthode des Charges Supplémentaires....Pages 25-31
Contributions to Hydrodynamic (In)stability by Use of the Lemma of Nagumo and Westphal....Pages 32-40
Stability Regions of Cellular Fluid Flow....Pages 41-47
The Stability of Gravity Waves on the Surface of a Flow with Non-uniform Velocity Distribution....Pages 48-54
A Non-linear Investigation of the Stability of Flow between Counter-rotating Cylinders....Pages 55-60
On the Non-linear Stability of Plane Couette Flow....Pages 61-64
Aeroelastic Stability of Plates and Shells: An Innocent’s Guide to the Literature....Pages 65-77
Stability of Structures under Stochastic Disturbances....Pages 78-84
A Theory of Elastic Stability for Perfectly Elastic Materials with Couple-stresses....Pages 85-89
Instability of Bars with Stress-dependent Properties....Pages 90-95
Trace Effects in Stability....Pages 96-111
A Stability Study of Continuous Systems under Parametric Excitation via Liapunov’s Direct Method....Pages 112-118
Probleme nichtlinearer Operatoren bei Untersuchung der Stabilität dünner Platten und Schalen....Pages 119-124
Some Applications of Liapunov Functionals....Pages 125-131
On the Place of Energy Methods in a Global Theory of Hydrodynamic Stability....Pages 132-142
Interfacial Instability between Fluids and Granular Beds....Pages 143-150
Unstable Flows in Two Dimensions: Comparison of Laboratory Experiments with Numerical Simulation....Pages 151-157
On the Effect of Sidewalls in Cellular Convection....Pages 158-161
The Stability of Cellular Branching Solutions of the Navier-Stokes Equations....Pages 162-166
On Equilibrium States and Periodic Vibrations of Thin Nonlinear Elastic Systems....Pages 167-174
On Buckling and Instability of Plastic Structural Models....Pages 175-182
A Contribution to a Linearized Engineering Shell Theory....Pages 183-187
Stability of the Cosserat Surface....Pages 188-193
On the Stability of Periodic Solutions in Fluid Mechanics....Pages 194-203
On General Theorems for Stability....Pages 204-214
An Invariance Principle for Dynamical Systems on Banach Space: Application to the General Problem of Thermoelastic Stability....Pages 215-221
On the Possibility of Subcritical Instabilities....Pages 222-227
Feedback Stabilization of Distributive Systems with Applications to Plasma Stabilization....Pages 228-237
Determinism and Uncertainty in Stability....Pages 238-247
Hölder Stability and Logarithmic Convexity....Pages 248-255
Thermoelastic Stability of a Finitely Deformed Solid under Nonconservative Loads....Pages 256-262
Examples on the Stabilizing and Destabilizing Effects....Pages 263-265
Stability Conditions of Rigid-plastic Solids with Extension to Visco-plasticity....Pages 266-271
On the Dynamical Stability of Fluid Phases....Pages 272-283
Review of the Finite Bandwidth Concept....Pages 284-289
A Class of Unsteady Nonlinear Waves in Parallel Flows....Pages 290-294
Optimal Structural Design in Non-conservative Problems of Elastic Stability....Pages 295-301
Zur Stabilität des schwingenden Tragflügels im Unterschallbereich....Pages 302-310
Finite Amplitude Response of Circular Plates Subject to Dynamic Loading....Pages 311-316
Equilibrium and Stability of Elastic-plastic Bodies....Pages 317-328
Instability under Cycles of Plastic Deformation....Pages 329-333
Coupled Modes of Buckling in Some Continuous Systems....Pages 334-337
Perturbation Patterns in Nonlinear Branching Theory....Pages 338-343
Non-conservative Effects Produced by Thrust of Jet Engine....Pages 344-348
Stability of Viscoelastic Systems Subjected to Nonconservative Forces....Pages 349-360
The Instability of Pipe Poiseuille Flow with Respect to Finite Amplitude Disturbances....Pages 361-367
The Structure of the Damping Disturbances in the Stability of Unbounded Laminar Flows....Pages 368-375
Linear Dynamical Systems in Hilbert Space....Pages 376-378
On the Stability of Constant Profile Waves....Pages 379-384
A Theory of Elasto-plastic Buckling of Structures....Pages 385-391
Buckling and Postbuckling Behavior of Initially Imperfect Orthotropic Cylindrical Shells under Axial Compression and Internal Pressure....Pages 392-398
Instabilität der Ruhelage für ein System mit zwei Freiheitsgraden....Pages 399-406
Substantiation of the Theory of Stability of Cylindrical Shells on the Basis of the Gauss Principle....Pages 407-410
On Structural Instability Due to Strainsoftening....Pages 411-417
Asymptotic Stability of Travelling Waves....Pages 418-422