Elementary general treatment of dynamics of rotation, with special application of gyroscopic phenomena. No knowledge of vectors needed. Velocity of a moving curve, acceleration to a point, general equations of motion, gyroscopic horizon, free gyro, motion of discs, the damped gyro, 103 similar topics.

Gyrodynamics and Its Engineering Applications deals with the engineering applications of gyrodynamics in a manner that stresses the physical concepts. Topics covered range from the kinematics of rigid bodies to frames of reference, along with moments and products of inertia. Gyro-verticals and the gyrodynamics of machines are also considered. Comprised of 16 chapters, this book begins with a historical background on gyroscopes and an introduction to vectors, the kinematics of a particle, and rotating systems. The emphasis is on certain fundamental ideas governing the movement of bodies in three dimensions. Motion with respect to moving axes is discussed in detail, with particular attention to the intangible Coriolis acceleration. Subsequent chapters focus on the inertial characteristics of bodies and certain dynamical theorems; the motion of a free body and of a symmetrical gyroscope under gravity; gyroscopic vibration absorbers and stabilizers; the gyro-compass; suspensions for gyroscopes; gyro-verticals; and rate and integrating gyroscopes. The book also discusses inertial navigation as well as the whirling of shafts and aircraft gyrodynamics. This monograph is intended primarily for engineers, but should also prove valuable to university teachers, research workers, and those who encounter gyroscopic problems.

This second edition is ideal for classical mechanics courses for first- and second-year undergraduates with foundation skills in mathematics.

This book introduces readers to the shell structure, operating principle, manufacturing process, and control theory for cylindrical vibratory gyroscopes. The cylindrical vibratory gyroscope is an important type of Coriolis vibratory gyroscope that holds considerable potential for development and application. The main aspects addressed include: operating principle and structure, theoretical analysis and modeling, dynamic analysis and modeling, manufacturing process, parameter testing methods, closed-loop control, and the error compensation mechanism in cylindrical vibratory gyroscopes.

Dynamics is the third volume of a three-volume textbook on Engineering Mechanics. It was written with the intention of presenting to engineering students the basic concepts and principles of mechanics in as simple a form as the subject allows. A second objective of this book is to guide the students in their efforts to solve problems in mechanics in a systematic manner. The simple approach to the theory of mechanics allows for the different educational backgrounds of the students. Another aim of this book is to provide engineering students as well as practising engineers with a basis to help them bridge the gaps between undergraduate studies, advanced courses on mechanics and practical engineering problems. The book contains numerous examples and their solutions. Emphasis is placed upon student participation in solving the problems. The contents of the book correspond to the topics normally covered in courses on basic engineering mechanics at universities and colleges. Volume 1 deals with Statics; Volume 2 contains Mechanics of Materials.

This book highlights an analytical solution for the dynamics of axially rotating objects. It also presents the theory of gyroscopic effects, explaining their physics and using mathematical models of Euler’s form for the motion of movable spinning objects to demonstrate these effects. The major themes and approaches are represented by the spinning disc and the action of the system of interrelated inertial torques generated by the centrifugal and Coriolis forces, as well as the change in the angular momentum. The interrelation of inertial torques is based on the dependency of the angular velocities of the motions of the spinning objects around axes by the principle of mechanical energy conservation. These kinetically interrelated torques constitute the fundamental principles of the mechanical gyroscope theory that can be used for any rotating objects of different designs, like rings, cones, spheres, paraboloids, propellers, etc. Lastly, the mathematical models for the gyroscopic effects are validated by practical tests. The 2nd edition became necessary due to new development and corrections of mathematical expressions: It contains new chapters about the Tippe top inversion and inversion of the spinning object in an orbital flight and the boomerang aerodynamics.

The Thirteenth International Congress of Theoretical and Applied Mechanics was held in Moscow from Monday, 21 August, to Saturday, 26 August 1972. About 2500 participants from 37 countries all over the world attended the congress that was convened by the Congress Committee of the International Union of Theoretical and Applied Mechanics. The local or ganization lay in the hands of the Organizing Committee, established by the USSR National Committee on Theoretical and Applied Mechanics. The USSR Academy of Sciences rendered partial financial help to the organization of th8 congress. The Organizing Committee was assisted by the Institute of Problems of Mechanics of the USSR Academy of Sciences, by the Research Institute for Mechanics of Moscow University, and by the Computing Center and the Institute of Applied Mathematics of the USSR Academy of Sciences. The Bureau of IUTAM had allocated a considerable sum for partial financial support of young scientists attending the congress. The Thirteenth Congress was officially opened on Monday morning at the Kremlin Palace of Congresses by Academician N. 1. Muskhelishvili, President of the Congress, and Professor W. T. Koiter, President of IUTAM. Greeting addresses were offered by: Mr. K. N. Rudnev, Minister, member of the Council of Ministers of the USSR, Academician M. V. Keldysh, President of the USSR Academy of Sciences, Mr. L. N.