Role of Internal Friction in Dynamic Analysis of Structures

Cover
Half Title
Title Page
Copyright Page
Preface
Table of Contents
Introduction
Chapter 1: General Properties of Dissipative Dynamics Systems
	1.1 Internal Friction in a Rigid Body
	1.2 Characteristics of Dynamic Systems
	1.3 Vibrations of Damping Systems with a Single Degree of Freedom
	1.4 Internal Friction Parameters and Methods for Their Measurement
	1.5 Experiments for Measuring Internal Friction
	1.6 Principle of Frequency Independence of Internal Friction
Chapter 2: Analysis of Structures with Visco-Elastic Resistance
	2.1 Classical Models of Visco-Elastic Resistance
	2.2 Vibrations of Systems with Single Degree of Freedom
	2.3 Vibrations of Discrete Systems
	2.4 Conditions for Uncoupling Equations of Motion In Normal Co-Ordinates
	2.5 Vibrations of Systems with Distributed Parameters
Chapter 3: Elementary Models for Frequency-Independent Internal Friction
	3.1 Corrected Modifications of the Voight Model
	3.2 Modified Complex Stiffness
	3.3 Sorokin’s Complex Stiffness
	3.4 Reznikov’s Complex Stiffness
Chapter 4: Frequency-Dependent and Frequency-Independent Models with Visco-Elastic Resistance
	4.1 Visco-Elastic Analogs of Linear Internal Friction Models
	4.2 Equations of Motion of Systems with Frequency-Independent Visco-Elastic Resistance
	4.3 Dynamic Analysis of Multiple-Mass Systems with Frequency-Independent Visco-Elastic Resistance
	4.4 Dynamic Analysis of Beams and Bars with Frequency-Independent Visco-Elastic Resistance
Chapter 5: Hereditary Models of Internal Friction
	5.1 Hereditary Models for Frequency-Independent Absolute Damping
	5.2 Models for Frequency-Independent Relative Damping
	5.3 Approximate Solutions of Non-Stationary Problems for Systems with Frequency-Independent Relative Damping
	5.4 Analysis of Frequency Dependence of Internal Friction Described by Different Hereditary Operators
	5.5 Vibrations of Beams with Frequency-Independent Relative Damping
	5.6 Vibrations of Uni-Dimensional Periodic Systems with Frequency-Independent Relative Damping
References