Theory of Oscillations: Structural Mathematical Modeling in Problems of Dynamics of Technical Objects

Description

This book develops and substantiates methods for structural mathematical modeling in the context of protecting machines and equipment from vibration effects. It analyzes problems concerning the dynamic interactions of elements in mechanical oscillatory systems, constructing suitable mathematical models, estimating their dynamic properties, and adapting structural mathematical models to the equivalent forms. In turn, it develops a methodological basis for identifying the lever linkages and taking into account the peculiarities of their influence on the dynamic properties of systems. Given its scope, the book offers a valuable resource for specialists in the fields of dynamics and strength of machines, vibration protection systems for equipment, and maintenance of the dynamic quality of vibrating machines, as well as students in related degree programs. Front Matter ....Pages i-xx Some Problems of Applied Theory of Vibrations (Sergey Viktorovich Eliseev, Andrey Vladimirovich Eliseev)....Pages 1-34 Features of Representation of Mechanical Circuits Based on Equipment of the Theory of Circuits and Automatic Control Theory (Sergey Viktorovich Eliseev, Andrey Vladimirovich Eliseev)....Pages 35-75 Some Issues of the Methodology of the Approaches of the Structural Modeling in the Dynamics of Mechanical Oscillatory Systems (Sergey Viktorovich Eliseev, Andrey Vladimirovich Eliseev)....Pages 77-119 Construction of Mathematical Models of Mechanical Vibrational Systems: Additional Couplings and Equivalent Transformations (Sergey Viktorovich Eliseev, Andrey Vladimirovich Eliseev)....Pages 121-206 Joints in the Dynamics of Mechanical Oscillatory Systems (Sergey Viktorovich Eliseev, Andrey Vladimirovich Eliseev)....Pages 207-267 Reduced Characteristics in Assessing Properties of Mechanical Oscillatory Systems: Generalized Approaches in the Construction of Mathematical Models (Sergey Viktorovich Eliseev, Andrey Vladimirovich Eliseev)....Pages 269-381 Lever Linkages in Mechanical Oscillatory Systems (Sergey Viktorovich Eliseev, Andrey Vladimirovich Eliseev)....Pages 383-432 Some Applications of the Methods Structural Mathematical Modeling (Sergey Viktorovich Eliseev, Andrey Vladimirovich Eliseev)....Pages 433-521