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Author: L Cveticanin Publisher: Routledge ISBN: 1351454161 Category : Science Languages : en Pages : 253
Book Description
Designed to be a complete and integrated text on the dynamic properties of machines, mechanisms, and rotors with variable mass, this book presents new results from investigations based on the general dynamics of systems with variable parameters. The book considers both weak and strong nonlinear vibrations of these systems, and chaotic phenomena are also discussed. The conservation laws and adiabatic invariants for systems with variable mass are formulated and the stability and instability conditions of motion are defined.
Author: L Cveticanin Publisher: Routledge ISBN: 1351454161 Category : Science Languages : en Pages : 253
Book Description
Designed to be a complete and integrated text on the dynamic properties of machines, mechanisms, and rotors with variable mass, this book presents new results from investigations based on the general dynamics of systems with variable parameters. The book considers both weak and strong nonlinear vibrations of these systems, and chaotic phenomena are also discussed. The conservation laws and adiabatic invariants for systems with variable mass are formulated and the stability and instability conditions of motion are defined.
Author: Hans Irschik Publisher: Springer ISBN: 3709118093 Category : Technology & Engineering Languages : en Pages : 277
Book Description
The book presents up-to-date and unifying formulations for treating dynamics of different types of mechanical systems with variable mass. The starting point is overview of the continuum mechanics relations of balance and jump for open systems from which extended Lagrange and Hamiltonian formulations are derived. Corresponding approaches are stated at the level of analytical mechanics with emphasis on systems with a position-dependent mass and at the level of structural mechanics. Special emphasis is laid upon axially moving structures like belts and chains and on pipes with an axial flow of fluid. Constitutive relations in the dynamics of systems with variable mass are studied with particular reference to modeling of multi-component mixtures. The dynamics of machines with a variable mass are treated in detail and conservation laws and the stability of motion will be analyzed. Novel finite element formulations for open systems in coupled fluid and structural dynamics are presented.
Author: Livija Cveticanin Publisher: Springer ISBN: 331922056X Category : Technology & Engineering Languages : en Pages : 207
Book Description
This book deals with the problem of dynamics of bodies with time-variable mass and moment of inertia. Mass addition and mass separation from the body are treated. Both aspects of mass variation, continual and discontinual, are considered. Dynamic properties of the body are obtained applying principles of classical dynamics and also analytical mechanics. Advantages and disadvantages of both approaches are discussed. Dynamics of constant body is adopted, and the characteristics of the mass variation of the body is included. Special attention is given to the influence of the reactive force and the reactive torque. The vibration of the body with variable mass is presented. One and two degrees of freedom oscillators with variable mass are discussed. Rotors and the Van der Pol oscillator with variable mass are displayed. The chaotic motion of bodies with variable mass is discussed too. To support learning, some solved practical problems are included.
Author: Livija Cveticanin Publisher: Springer ISBN: 3319052721 Category : Science Languages : en Pages : 241
Book Description
This book provides the presentation of the motion of pure nonlinear oscillatory systems and various solution procedures which give the approximate solutions of the strong nonlinear oscillator equations. The book presents the original author’s method for the analytical solution procedure of the pure nonlinear oscillator system. After an introduction, the physical explanation of the pure nonlinearity and of the pure nonlinear oscillator is given. The analytical solution for free and forced vibrations of the one-degree-of-freedom strong nonlinear system with constant and time variable parameter is considered. Special attention is given to the one and two mass oscillatory systems with two-degrees-of-freedom. The criteria for the deterministic chaos in ideal and non-ideal pure nonlinear oscillators are derived analytically. The method for suppressing chaos is developed. Important problems are discussed in didactic exercises. The book is self-consistent and suitable as a textbook for students and also for professionals and engineers who apply these techniques to the field of nonlinear oscillations.
Author: Angadh Nanjangud Publisher: ISBN: 9781369616279 Category : Languages : en Pages :
Book Description
This dissertation examines the rotational (or attitude) dynamics of variable mass systems. In the context of this study, a variable mass system comprises a rigid base and a fluid phase delimited by a massless porous shell. The mass variability is accounted for by allowing the rigid part to be consumable and the fluid phase to enter and/or exit the region of interest through the shell. The document begins by providing a brief historical perspective on the developments in attitude dynamics of variable mass systems, a relatively young field in the context of classical mechanics, mostly motivated by interest in spaceflight. This introduction is followed by examinations of general variable mass systems and proceeds onto torque-free variable mass cylinders. The first of two chapters dedicated to the general variable mass system presents an approach to derive its equation of attitude motion. This discussion is followed by a mathematical proof of directional conservation of the variable mass system's angular momentum vector in the absence of external moments. This result is utilized, in the subsequent chapter, to visually interpretthe rotation of a torque-free, axisymmetric variable mass cylinder. The approach and results presented here strongly parallel the discussions on geometry of motion of axisymmetric rigid bodies found in classic texts on mechanics. The penultimate chapter, preceding the summary of the dissertation and direction for future work, presents an algorithm to estimatethe angular speeds of nearly axisymmetric variable mass cylinders. The variable mass cylinder idealization has historically been useful for gaining insight into the rotational behaviour of rockets.
Author: L Cveticanin
Author: L Cveticanin
Author: Hans Irschik
Author: Livija Cveticanin
Author: Stuart Bernard Belknap
Author: Zheng-Ming Ge
Author: 
Author: Zheng-Ming Ge
Author: Song-Min Wang
Author: Livija Cveticanin
Author: Angadh Nanjangud