2 edition of **stability of elastic equilibrium** found in the catalog.

stability of elastic equilibrium

Warner Tjardus Koiter

- 145 Want to read
- 4 Currently reading

Published
**1970**
by Air Force Flight Dynamics Laboratory
.

Written in English

**Edition Notes**

Statement | a trans. by E. Riks. |

Series | Technical reports -- AFFDL-TR-70-75. |

Contributions | United States. Air Force. Flight Dynamics Laboratory. |

The Physical Object | |
---|---|

Pagination | 306p. |

Number of Pages | 306 |

ID Numbers | |

Open Library | OL19979490M |

Equilibrium equations and static boundary conditions. Stability of Equilibrium of an Elastic Body. Linearized models of the equilibrium stability for elastic bodies. Mechanical interpretation of particular terms in the stability functional — The concept of an equivalent load. Criteria of . Stability is discussed in a context of generalized equilibrium problems, where auxiliary parameters and equations can be included in a continuation setting. Examples show the formulation.

This book gives a unified presentation of the field of stability. Buckling and post-buckling states are studied on the basis of total potential energy of structural systems. Emphasis is placed throughout the text on post-buckling analysis and behaviour. Lyapunov stability is a very mild requirement on equilibrium points. In particular, it does not require that trajectories starting close to the origin tend to the origin asymptotically. Also, stability is deﬁned at a time instant. t. 0. Uniform stability. is a concept which guarantees that the equilibrium point is not losing Size: KB.

is the sum of elastic strains and plastic strains α ij, The plastic strain is assumed to be constant when the inequality sign applies in (), whereas for ψ (σ) = 0 the increment of α ij is determined so as to insure that an inadmissible state of stress will not : J. Christoffersen. Stability of equilibrium in elastic-plastic solids success in the theory of elastic stability [1] the stability of equilibrium or a deformation path under uniaxial tension is analysed for.

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THE STABILITY OF ELASTIC EQUILIBRIUM Paperback – January 1, by Warner Tjardus Koiter (Author) See all formats and editions Hide other formats and editions.

Price New from Used from Paperback "Please retry" $ — $ Author: Warner Tjardus Koiter. Buy A translation of the Stability of elastic equilibrium on FREE SHIPPING on qualified orders A translation of the Stability of elastic equilibrium: Koiter, W.

T: : Books Author: W. T Koiter. This chapter discusses the principal forms of equilibrium stability of elastic equilibrium book and their stability. The chapter reviews the interaction of an elastic body with a field of force by virtue of its mass. If the interaction of the elastic body with a field of force occurs under conservative conditions, then the sum of its elastic and potential energies is a measure of its stability or instability.

The Stability of Elastic Systems presents some of the most important aspects of the stability and the non-linear behavior at finite deformations of several stability of elastic equilibrium book of structural elastic systems, which are important for a more precise understanding of the static performance of such systems.

Description. The Stability of Elastic Systems presents some of the most important aspects of the stability and the non-linear behavior at finite deformations of several types of structural elastic systems, which are important for a more precise understanding of the static performance of such systems.

This book is divided into eight chapters that aim to complete parts of classical, eigenvalue, Book Edition: 1. This book treats stability problems of equilibrium states of elastic rods.

Euler energy and dynamical methods of stability analysis are introduced and stability criteria for each method is developed. Stability analysis is accompanied by a number of classical conservative and non-conservative, two- and three-dimensional problems.

A general theory of elastic stability is presented. In contrast to previous works in the field, the present analysis is augmented by an investigation of the behavior of the buckled structure in the immediate neighborhood of the bifurcation point.

Purchase Stability, Bifurcation and Postcritical Behaviour of Elastic Structures, Volume 39 - 1st Edition. Print Book & E-Book. ISBNBook Edition: 1. Book Description. Theory of Stability of Continuous Elastic Structures presents an applied mathematical treatment of the stability of civil engineering structures.

The book's modern and rigorous approach makes it especially useful as a text in advanced engineering courses and an invaluable reference for engineers. belonging to this value X, for which the equilibrium is at the stability limit and hence neutral as well (cf.

]), is called the buckling or critical load. Consequently at this buckling load there exist, in addition to the fundamental state, neighbouring Infinitesimally deviating states of Size: 9MB. Exploration of principles and applications of stability analysis emphasizes nonelastic stability.

Topics include modern stability problems of fracture and damage, thermodynamic principles of stability in irreversible systems, viscoelastic and viscoplastic buckling, other key areas. Numerous examples; exercise problems. edition.5/5(1). Stability of Structures: Elastic, Inelastic, Fracture and Damage Theories Zdenek P Bazant, Luigi Cedolin A crucial element of structural and continuum mechanics, stability theory has limitless applications in civil, mechanical, aerospace, naval and nuclear engineering.

On the stability of elastic equilibrium. Washington, D.C., National Aeronautics and Space Administration, (OCoLC) Material Type: Government publication, National government publication: Document Type: Book: All Authors / Contributors: W T Koiter.

Existing textbooks of structural stability, except for touching on elastoplastic columns, deal almost exclusively with elastic stability. The modern stability problems of fracture and damage, as well as the thermodynamic principles of stability of irreversible systems, have not File Size: KB.

Elastic Stability of Solids and Structures + 2 The Stability Of Elastic Equilibrium Book Description Publication Date: Aug ISBN -- ISBN Edition: 1 This book deals with the elastic stability of solids and structures.

The stability of elastic structures is a classical problem which forms the primary content of most existing textbooks.

We will devote about half the present treatise to this topic (Part I, Chapters ). This chapter provides an overview of loading devices and stability of equilibrium.

It presents an experiment in which to study equilibrium of an elastic body, elastic body is envisaged to be placed in a conservative loading device, such that the combination forms an isolated system. Extremals of the energy are equilibrium configurations. A general theory of elastic stability is presented.

In contrast to previous works in the field, the present analysis is augmented by an investigation of the behavior of the buckled structure in the immediate neighborhood of the bifurcation point. This investigation explains why some structures, e.g., a flat plate supported along its edges and subjected to thrust in its plane, are capable of Cited by: Table of Contents.

uction brium States in Non-Linear Elasticity bation Techniques ity of an Equilibrium State al States Limit Point ation States brium of Systems With Imperfections nce of Non-Linear Material Behavior on Buckling States Imperfection Sensitivity of Critical Points Design Sensitivity of Bifurcation States.

Stability of an elastic system is the property of the elastic system (an elastic body or a system of interacting elastic bodies) of deviating little from an equilibrium position (motion) for sufficiently small disturbing factors.

The role of the disturbing factors is played by fluctuations in the external force, deviations from the ideal geometrical shape, material defects, etc. Chapter 1 deals with the basic theory of elastic stability. It stresses the equilibrium paths for deformed systems, stable or unstable equilibrium states and bifurcation points as well as limit points and critical loads, including energy criteria for bifurcational stability loss and a corresponding method using homogeneous linearized : Alfutov, Na, Wauer, J.

Examples of Static Equilibrium. A variety of engineering problems can be solved by applying equilibrium conditions for rigid bodies.

In applications, identify all forces that act on a rigid body and note their lever arms in rotation about a chosen rotation axis.Stability of Elastic Column Using the Energy Method The Tretz condition for stability can now be extended to the elastic column subjected to combined bending and compression.

The elastic strain energy stored in the column is aFile Size: KB.