Dynamic Stability of Structures

Proceedings of an International Conference Held at Northwestern University, Evanston, Illinois, October 18-20, 1965

George Herrmann

• Publisher: Pergamon
• Year: 2014
• Print ISBN: 9781483198217
• eBook ISBN: 9781483223247
• Topic: Technology & Engineering
• Subtopic: Engineering General
• Index: Technology & Engineering

Dynamic Stability of Structures covers the proceedings of an International Conference on Dynamic Stability of Structures, held in Northwestern University, Evanston, Illinois on October 18-20, 1965, jointly sponsored by the Air Force of Scientific Research and Northwestern University. The conference aims to delineate the various categories of dynamic stability phenomena. This book is organized into six sections encompassing 20 chapters that tackle general topics such as mathematical methods of analysis, physical phenomena, design applications in engineering, and reports of field research. The first two sections deal with the fundamentals, principles, and concept of dynamic stability, as well as an introduction to the use of computing machines as an aid in studying the motions of complicated dynamical systems. The succeeding two sections highlight the statistical aspects in the structural stability theory and certain problems of structural dynamic. These sections also look into the dynamic buckling of elastic structures and the buckling of long slender ships due to wave-induced whipping. The last two sections explore the stability and vibration problems of mechanical systems under harmonic excitation and the dynamic buckling under step loading. These sections also include discussions on the nonlinear dynamic response of shell-type structures and of a column under random loading, as well as Italian research in the field. Structural and mechanical engineers will find this book invaluable.

SESSION VI

Outline

Chapter 14: DYNAMIC BUCKLING UNDER STEP LOADING

Chapter 15: SOME STUDIES ON THE NONLINEAR DYNAMIC RESPONSE OF SHELL-TYPE STRUCTURES

Chapter 16: DYNAMIC STABILITY OF A COLUMN UNDER RANDOM LOADING

Chapter 17: INTERACTION OF MECHANICAL AND AEROELASTIC INSTABILITIES OF A CIRCULAR CYLINDRICAL SHELL

Chapter 18: DYNAMIC BUCKLING OF A CIRCULAR RING CONSTRAINED IN A RIGID CIRCULAR SURFACE

Chapter 19: ENERGY CONSIDERATIONS IN THE ANALYSIS OF STABILITY OF NONCONSERVATIVE STRUCTURAL SYSTEMS

Chapter 20: RECENT ITALIAN CONTRIBUTIONS IN THE FIELD OF DYNAMIC STABILITY OF STRUCTURES

DYNAMIC BUCKLING UNDER STEP LOADING

J.M.T. THOMPSON, Department of Civil Engineering, University College, London

Abstract

The “asymmetric” and “unstable-symmetric” points of bifurcation are studied on the basis of a general non-linear theory of elastic stability for a structural system described by n generalized coordinates, a loading parameter and an imperfection parameter, and an astatic buckling load relevant to dynamic buckling under step loading is introduced. This astatic buckling load is defined as that load at which an imperfect system experiences no net change in potential energy as it is displaced from the fundamental state (of the perfect system) to its unstable post-critical equilibrium state, and the variation of this load with the imperfection parameter is examined. For each point of bifurcation this variation is seen to have the same form as that of the static buckling load, and asymptotic expressions are derived relating the astatic, and static buckling loads of a given imperfect system. It is clear that the astatic buckling load will yi...

Table of contents

• Cover image
• Title page
• Table of Contents
• Copyright
• PREFACE
• SESSION I
• SESSION II
• SESSION III
• SESSION IV
• SESSION V
• SESSION VI