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) |
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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 |
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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 |
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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 |
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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 |
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Print version record |
Subject |
Structural dynamics.
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Force and energy.
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Mechanics, Analytic.
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energy.
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Force and energy
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Mechanics, Analytic
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Structural dynamics
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Form |
Electronic book
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ISBN |
9781351394444 |
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1351394444 |
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