Role Of Internal Friction In Dynamic Analysis Of Structures: Russian Translations Series 81 (russian Translation ; No 80)

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. 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 Improvement in the methods of analysis of structures, machines, aircrafts and ships is one of the most important problems in engineering today. The computational aspects of this problem are being tackled successfully due to developments in computer science. However, for an adequate description of the physical properties of structures, especially those made of newer, non- traditional materials, it is essential to further study their behaviour under different load and kinematic conditions and to develop appropriate physical models that provide a comprehensive and correct description of the actual state of deformation. The objective of this book is to adopt a unified approach for describing the large number of models of internal friction and to offer recommendations regarding the methods of taking it into account at the time of dynamic analysis. It is also intended to provide a comprehensive analysis of the various models, accompanied by detailed solutions of specific problems, which could serve as examples for dynamic analysis of real structures taking into account the effect of internal friction.