Stability analysis of nonlinear autonomous systems - General theory and application to flutter

1975 ◽  
Author(s):  
L. SMITH ◽  
L. MORINO
Keyword(s):  
Stability Analysis ◽  
General Theory ◽  
Autonomous Systems

Impulsive Parametric Excitation: Theory

1972 ◽  
Vol 39 (2) ◽  
pp. 551-558 ◽  
Author(s):  
C. S. Hsu
Keyword(s):  
Stability Analysis ◽  
General Theory ◽  
Parametric Excitation ◽  
Periodic Systems ◽  
Stability Criteria ◽  
Dirac Delta ◽  
Special Cases ◽  
Delta Functions ◽  
Analytic Stability ◽  
The Stability

Given in this paper is the development of a theory for dynamical systems subjected to periodic impulsive parametric excitations. By periodic impulsive parametric excitation we mean those excitations representable by periodic coefficients which consist of sequences of Dirac delta functions. It turns out that for this class of periodic systems the stability analysis can be carried out in a remarkably simple and general manner without approximation. In the paper, after giving the general theory, many special cases are examined. In many instances simple and closed-form analytic stability criteria can be easily established.

Stability Analysis of Nonlinear Differential Autonomous Systems with Applications to Flutter

AIAA Journal ◽  
1976 ◽  
Vol 14 (3) ◽  
pp. 333-341 ◽  
Author(s):  
Linda L. Smith ◽  
Luigi Morino
Keyword(s):  
Stability Analysis ◽  
Autonomous Systems

On the Stability Analysis of Imperfect Spherical Shells

1970 ◽  
Vol 37 (3) ◽  
pp. 629-634 ◽  
Author(s):  
A. Kalnins ◽  
V. Biricikoglu
Keyword(s):  
Stability Analysis ◽  
General Theory ◽  
Spherical Shell ◽  
Nonlinear Theory ◽  
Geometric Parameters ◽  
Postbuckling Behavior ◽  
Spherical Shells ◽  
The Stability ◽  
Asymptotic Character

A procedure is given for the analysis of axisymmetrically imperfect spherical shells which is not limited by the magnitude of the imperfections. The geometric parameters of the imperfect shell are expressed in terms of those of the perfect shell and known imperfection distribution, and the imperfect shell is solved directly by means of a nonlinear theory. As an application of the proposed procedure, the critical pressures for an axisymmetrically imperfect complete spherical shell are calculated. The results are compared with those predicted by Koiter’s general theory of initial postbuckling behavior, and their asymptotic character is verified.

Extreme self-sacrifice beyond fusion: Moral expansiveness and the special case of allyship

2018 ◽  
Vol 41 ◽  
Author(s):  
Daniel Crimston ◽  
Matthew J. Hornsey
Keyword(s):  
General Theory ◽  
Biological Markers ◽  
Natural Environment ◽  
Relevant Dimension ◽  
Special Case

AbstractAs a general theory of extreme self-sacrifice, Whitehouse's article misses one relevant dimension: people's willingness to fight and die in support of entities not bound by biological markers or ancestral kinship (allyship). We discuss research on moral expansiveness, which highlights individuals’ capacity to self-sacrifice for targets that lie outside traditional in-group markers, including racial out-groups, animals, and the natural environment.

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