Role of Internal Friction in Dynamic Analysis of Structures

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Modern methods of dynamic analysis of structures through the application of frequency-independent damping models. Experimental data, justification for the models used in the norms & computer analysis & solutions to design problems. Economical & reliable design subjected to explosive, seismic, wind & other loads.

Author(s): A.I. Tseitlin, A.A. Kusainov
Series: Russian Translations Series, 81
Publisher: CRC Press
Year: 1990

Language: English
Pages: 225
City: Leiden

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