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Book Cover
E-book
Author Ingerle, Kurt

Title Non-Conservative Systems : New Static and Dynamic Stability Criteria
Published Milton : Chapman and Hall/CRC, 2018

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Description 1 online resource (145 pages)
Contents Cover; Half Title; Title Page; Copyright Page; Table of Contents; Acknowledgements; History; Introduction; List of Figures; List of Tables; 1: Static stability of massless non-conservative systems; 1.1 â#x80;#x9C;Extra Energy Stabilityâ#x80;#x9D; criterion (Eex, min <0, linear analysis); 1.2 Non-conservative systems without non-trivial states of equilibrium; 1.2.1 Zieglerâ#x80;#x99;s column, â#x80;#x9C;extra energy methodâ#x80;#x9D; (Eex = 0); 1.2.2 Zieglerâ#x80;#x99;s column (Eex, min = 0); 1.2.3 Zieglerâ#x80;#x99;s column, â#x80;#x9C;energy methodâ#x80;#x9D; (Ep = Es)
1.2.4 Approximate analysis of a non-conservative system and calculation of a conservative system1.2.5 The tangentially loaded triple-hinged column; 1.2.6 Massless Beckâ#x80;#x99;s column; 1.2.7 Uniformly distributed tangential loaded columns; 1.3 Non-conservative systems with non-trivial states of equilibrium; 1.3.1 The tangentially loaded double-hinged column supported by a spring at the tip; 1.3.2 Zieglerâ#x80;#x99;s column resting on an elastic foundation; 1.3.3 The sub- and hyper-tangentially loaded doublehinged column; 1.4 Non-conservative columns with constant stiffness
1.4.1 The multi-spring-hinged method1.4.2 Table of critical loads; 2: Dynamic stability of non-conservative systems; 2.1 Different moving behavior of conservative and non-conservative systems; 2.2 Three Domain Stability (non-linear analysis); 2.3 Three Domain Stability applied on Zieglerâ#x80;#x99;s column; 2.3.1 Model; 2.3.2 Static domain; 2.3.3 Vibration and flutter domain; 2.3.4 Sudden transition from vibration to flutter; 2.3.5 Impact of mass distribution, inertia, damping and disturbance on flutter stability; 2.3.6 Comparison of the moving pattern of undamped and damped systems
2.4 Three domain stability (example: Beckâ#x80;#x99;s column)2.4.1 Computational model; 2.4.2 Static stability of Beckâ#x80;#x99;s massless system; 2.4.3 Beckâ#x80;#x99;s undamped column with mass, analyzed with linear dynamics; 2.4.4 Beckâ#x80;#x99;s undamped column with mass, analyzed with non-linear dynamics; 2.4.5 Influence of mass distribution on motion pattern; 2.4.6 Influence of damping; 2.4.7 Influence of large disturbance; 2.5 Three domain stability (Example: Leipholzâ#x80;#x99;s column); 2.5.1 Computational model; 2.5.2 Static stability; 2.5.3 Undamped column, pulsating moving; 2.5.4 Damped column
2.6 Important statements3: Static and dynamic stability criteria for conservative and non-conservative elastic stability systems; 3.1 General; 3.2 Static stability of massless conservative systems (Euler -- and Energy stability); 3.3 Static stability of massless non-conservative systems (Extra Energy Stability); 3.4 Dynamic stability of conservative systems (Lyapunov Stability); 3.5 Dynamic stability of non-conservative systems (Three Domain Stability); 4: Experiments; 5: Computational model for the static stability of multi-spring-hinged columns (linear analysis); 5.1 General
Notes 5.2 Energy performed by the spring hinges
Print version record
Subject Structural dynamics.
Force and energy.
Mechanics, Analytic.
energy.
Force and energy
Mechanics, Analytic
Structural dynamics
Form Electronic book
ISBN 9781351394444
1351394444