Dynamic Stability Of Suddenly Loaded Structures
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Dynamic Stability of Suddenly Loaded Structures
Author: George J. Simitses
language: en
Publisher: Springer Science & Business Media
Release Date: 2012-12-06
Dynamic instability or dynamic buckling as applied to structures is a term that has been used to describe many classes of problems and many physical phenomena. It is not surprising, then, that the term finds several uses and interpretations among structural mechanicians. Problems of parametric resonance, follower-force, whirling of rotating shafts, fluid-solid interaction, general response of structures to dynamic loads, and several others are all classified under dynamic instability. Many analytical and experimental studies of such problems can be found in several books as either specialized topics or the main theme. Two such classes, parametric resonance and stability of nonconservative systems under static loads (follower-force problems), form the main theme of two books by V. V. Bolotin, which have been translated from Russian. Moreover, treatment of aero elastic instabilities can be found in several textbooks. Finally, analytical and experimental studies of structural elements and systems subjected to intense loads (of very short duration) are the focus of the recent monograph by Lindberg and Florence. The first chapter attempts to classify the various "dynamic instability" phenomena by taking into consideration the nature of the cause, the character of the response, and the history of the problem. Moreover, the various concepts and methodologies as developed and used by the various investigators for estimating critical conditions for suddenly loaded elastic systems are fully described. Chapter 2 demonstrates the concepts and criteria for dynamic stability through simple mechanical models with one and two degrees of freedom.
Dynamic Stability of Structures
Structural configurations subjected to loads that fall under the category of an ideal impulse are considered. Emphasis is placed on systems that exhibit either limit point instability or an unstable bifurcational branch in the post-buckling region. The purpose of the present work is to investigate the concept of dynamic stability of structural elements subjected to step-loads and develop the related criteria and estimates for finding critical conditions. The step load consists of a suddenly applied load of constant magnitude and finite duration t sub o, and the investigation will include the two extreme cases of t sub o approaches infinity and t sub o approaches 0 (ideal impulse). Moreover, the effect of various parameters (small damping and preloading) on the critical conditions is studied. The developed solution methodology is demonstrated through a geometrically imperfect model and a load eccentricity model of one degree of freedom and a snap-through model of two degrees of freedom. (Author).
Dynamic Stability of Columns under Nonconservative Forces
This book treats dynamic stability of structures under nonconservative forces. it is not a mathematics-based, but rather a dynamics-phenomena-oriented monograph, written with a full experimental background. Starting with fundamentals on stability of columns under nonconservative forces, it then deals with the divergence of Euler’s column under a dead (conservative) loading from a view point of dynamic stability. Three experiments with cantilevered columns under a rocket-based follower force are described to present the verifiability of nonconservative problems of structural stability. Dynamic stability of columns under pulsating forces is discussed through analog experiments, and by analytical and experimental procedures together with related theories. Throughout the volume the authors retain a good balance between theory and experiments on dynamic stability of columns under nonconservative loading, offering a new window to dynamic stability of structures, promoting student- and scientist-friendly experiments.