Structural Analysis, Design and Control by the Virtual Distortion Method

ISBN-13: 9780471956563 / Angielski / Twarda / 1995 / 318 str.

Jan Holnicki-Szulc; Jacek T. Gierlinski;Holnicki-Szulc

Opis

Virtual distortions are incompatible deformations imposed on structures like trusses and frames, caused by elements such as nonhomogeneous heating or by local imperfections. The theory of virtual distortions provides an efficient tool which can be used to treat many problems that differ from the physical. The idea of simulating a variety of structural analysis and design methods by superimposing a set of virtual strains is not generally known by researchers in this field.

Spis treści

Analysis of Initial Stresses and Deformations Caused by Virtual Distortions.

Nonlinear Structural Analysis, Truss Structures.

Nonlinear Structural Analysis, General Skeletal Structures and 2D Continuum.

Analysis.

Optimal Structural Design.

Optimal Prestress (Passive Control).

Active Structural Control.

References.

Blurb

This book presents the general concept of the Virtual Distortion Method with the necessary theoretical background and a number of its applications to problems of structural analysis and design. The approach presented allows for the development of efficient computational methods for the numerical analysis of problems where, e.g., local failures, the temperature field or permanent plastic deformations are described by virtual distortions. On the other hand, properly modelled (fictitious) virtual distortions can be used to simulate structural modifications such as material redistribution applicable in the optimal redesign process. Finally, virtual distortions can be used to mimic the behaviour of actuators in active structural control problems: shape, stress or vibration control. A number of numerical algorithms are developed, enabling one to solve various problems of structural analysis, design and control.