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2018
A cantilever loaded at its free end is used to introduce the subject of dynamic stability, including non-conservative axial external force such as the case presented at the end of Chap. 8. The essential difference between divergence instability with zero eigenfrequency and flutter instability, i.e., vibration with increasing amplitude is discussed. The
Wiggers, Sine Leergaard, Pedersen, Pauli
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A cantilever loaded at its free end is used to introduce the subject of dynamic stability, including non-conservative axial external force such as the case presented at the end of Chap. 8. The essential difference between divergence instability with zero eigenfrequency and flutter instability, i.e., vibration with increasing amplitude is discussed. The
Wiggers, Sine Leergaard, Pedersen, Pauli
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On the dynamic shakedown stability
Meccanica, 1980Starting from a Benvenuto's sufficient stability Criterion, in the elastic-plastic range, on the load paths which will systematically exclude elastic returns in the actual state, and adopting a suitable incremental formulation of the Ceradini's theorem on the dynamic shakedown, the dynamic shakedown stability property may be proven, if the comparison ...
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Dynamic stability of the scapula
Manual Therapy, 1997SUMMARY. The ability to position and control movements of the scapula is essential for optimal upper limb function. The inability to achieve this stable base frequently accompanies the development of shoulder and upper limb pain and pathology. Unlike other joints the bony, capsular and ligamentous constraints are minimal at the scapulothoracic 'joint ...
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2020
Stability is an important property of all systems, whether natural or engineered. The stability of a finite-dimensional system is determined entirely by the eigenvalues of the matrix A, but for infinite-dimensional systems is more complicated. Various definitions are possible.
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Stability is an important property of all systems, whether natural or engineered. The stability of a finite-dimensional system is determined entirely by the eigenvalues of the matrix A, but for infinite-dimensional systems is more complicated. Various definitions are possible.
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Journal of Applied Mechanics, 1983
It is shown how stability theory of dynamic systems, emerging from various beginnings strewn over the realm of mechanics, developed into a unified, comprehensive theory for dynamic systems with a finite number of degrees of freedom. It is then demonstrated, how such theory could be adapted over the last five decades to the specific nature of stability ...
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It is shown how stability theory of dynamic systems, emerging from various beginnings strewn over the realm of mechanics, developed into a unified, comprehensive theory for dynamic systems with a finite number of degrees of freedom. It is then demonstrated, how such theory could be adapted over the last five decades to the specific nature of stability ...
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2018
In this chapter we shortly review the well known principles and definitions of stability and dynamics of systems.
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In this chapter we shortly review the well known principles and definitions of stability and dynamics of systems.
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Partial stability and stabilization of dynamical systems
Ukrainian Mathematical Journal, 1995For the system \(\dot{x}=f(t,u)\), with \( x\in D\subset {\mathbb{R}}^{n},\;u\in U\subset {\mathbb{R}}^{m},\;t\in T=[0,\infty),\;f(0,0)=0\), and \(u\) is a vector of control, the notions of local partial controllability, local conditional controllability, partial stability and partial asymptotic stability, with respect to the components \(x_{\alpha }\)
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2006
Publisher Summary The term dynamic stability encompasses many classes of problems and many different physical phenomena; in some instances, the term is used for two distinctly different responses for the same configuration subject to the same dynamic loads. The class of problems falling in the category of parametric excitation, or parametric resonance,
George J. Simitses, Dewey H. Hodges
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Publisher Summary The term dynamic stability encompasses many classes of problems and many different physical phenomena; in some instances, the term is used for two distinctly different responses for the same configuration subject to the same dynamic loads. The class of problems falling in the category of parametric excitation, or parametric resonance,
George J. Simitses, Dewey H. Hodges
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Journal of Physics A: Mathematical and Theoretical, 2008
States are considered as dynamically stable if they are invariant under a time automorphism and depend smoothly on a perturbation of the dynamics. We study the consequences for finite systems and compare it with the consequences in infinite systems. With an appropriate definition of smoothness it is shown that states that are dynamically stable are ...
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States are considered as dynamically stable if they are invariant under a time automorphism and depend smoothly on a perturbation of the dynamics. We study the consequences for finite systems and compare it with the consequences in infinite systems. With an appropriate definition of smoothness it is shown that states that are dynamically stable are ...
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Dynamics of Seagrass Stability and Change
2006To the casual observer, seagrass meadows often appear to be uniform landscapes with limited structure. Belying this appearance, seagrass meadows contain considerable structure and dynamics (cf. den Hartog, 1971). Seagrass meadows, at any one time, consist of a nested structure of clones, possibly fragmented into different ramets, each supporting a ...
Duarte, C. M. +3 more
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