Download or read book Equations of Motion for the Variable Mass Spinning Body written by William T. Thomson and published by . This book was released on 1961 with total page 16 pages. Available in PDF, EPUB and Kindle. Book excerpt: The motion of a body under translation and rotation is examined from the point of view of a system of particles having relative motion between particles, leading to a varying configuration, and undergoing a change in mass with time, where constraints may be imposed on certain numbers of particles. Such a procedure accounts for every conceivable configuration of the system and the possibility of omitting terms in the equations of motion are minimized. The equations can be regrouped to indicate contributions of the more familiar terms, such as rigid body, jet ejection, center of mass shift, and relative motion.
Download or read book Analytical Method of Approximating the Motion of a Spinning Vehicle with Variable Mass and Inertia Properties Acted Upon by Several Disturbing Parameters written by and published by . This book was released on 1961 with total page 30 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Analytical Method of Approximating the Motion of a Spinning Vehicle with Variable Mass and Inertia Properties Acted Upon by Several Disturbing Parameters written by James J. Buglia and published by . This book was released on 1961 with total page 32 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Equations of Motion for Free flight Systems of Rotating translating Bodies Having Variable Mass and Configuration written by and published by . This book was released on 1978 with total page pages. Available in PDF, EPUB and Kindle. Book excerpt: General vector differential equations of motion are developed for a system of rotating-translating, unbalanced, variable mass, variable configuration bodies. Complete flexibility is provided in placement of the reference coordinates within the system of bodies and in placement of body fixed axes within each body. Examples are presented to demonstrate the ease with which these equations can be reduced to the equations of motion for systems of interest.
Download or read book Dynamics of Mechanical Systems with Variable Mass written by Hans Irschik and published by Springer. This book was released on 2014-10-16 with total page 277 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Evolution of Motions of a Rigid Body About its Center of Mass written by Felix L. Chernousko and published by Springer. This book was released on 2017-04-20 with total page 270 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book presents a unified and well-developed approach to the dynamics of angular motions of rigid bodies subjected to perturbation torques of different physical nature. It contains both the basic foundations of the rigid body dynamics and of the asymptotic method of averaging. The rigorous approach based on the averaging procedure is applicable to bodies with arbitrary ellipsoids of inertia. Action of various perturbation torques, both external (gravitational, aerodynamical, solar pressure) and internal (due to viscous fluid in tanks, elastic and visco-elastic properties of a body) is considered in detail. The book can be used by researchers, engineers and students working in attitude dynamics of spacecraft.
Download or read book An Approximate Solution of the Equations of Motion for Arbitrary Rotating Spacecraft written by Peter Ralph Kurzhals and published by . This book was released on 1967 with total page 164 pages. Available in PDF, EPUB and Kindle. Book excerpt: The assumption of small changes in the inertia parameters has been used to derive approximate rotational equations of motion for arbitrary spinning spacecraft in the small angle and rate regime. Complex representations are introduced to define the rate and attitude errors produced by applied disturbances, and analytical solutions are obtained for the steady spinning mode and for the spin-up and despin mode. Solutions for the steady spinning mode consider both the uncontrolled and the controlled spacecraft motion for characteristic disturbance. These disturbances include initial errors, externally applied torques, and instantaneous and periodic mass motions within the spacecraft. The errors induced by the disturbances are described by the error component time histories and by vector traces of the complex error representations. Upper bounds of the errors are developed for the uncontrolled motion, and the required control techniques and control systems are examined for the controlled motion. Solutions for the spin-up and despin mode consider extensible spacecraft modules connected by struts or cables. Fuel consumption relations are derived for several extension techniques, and optimization of the extension techniques is shown to yield appreciable fuel savings. Comparisons of the analytical solutions and exact solutions obtained by numerical integration of the complete equations of motion are found to yield excellent agreement, and the applications of the approximate solution are illustrated for a manned orbital research laboratory and a large spinning space station.
Download or read book The General Motion of a Variable mass Flexible Rocket with Internal Flow written by Leonard Meirovitch and published by . This book was released on 1970 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic motion characteristics of variable-mass flexible rocket with internal flow.
Download or read book Integration of the Equations of Motion of a Rigid Body Rotating about Its Mass Center written by William Richard Wylie and published by . This book was released on 1963 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book The General Motion of a Variable mass Flexible Rocket with Internal Flow written by Leonard Meirovich and published by . This book was released on 1970 with total page 76 pages. Available in PDF, EPUB and Kindle. Book excerpt: Dynamic motion characteristics of variable-mass flexible rocket with internal flow.
Download or read book University Physics written by Samuel J. Ling and published by . This book was released on 2017-12-19 with total page 1002 pages. Available in PDF, EPUB and Kindle. Book excerpt: University Physics is designed for the two- or three-semester calculus-based physics course. The text has been developed to meet the scope and sequence of most university physics courses and provides a foundation for a career in mathematics, science, or engineering. The book provides an important opportunity for students to learn the core concepts of physics and understand how those concepts apply to their lives and to the world around them. Due to the comprehensive nature of the material, we are offering the book in three volumes for flexibility and efficiency. Coverage and Scope Our University Physics textbook adheres to the scope and sequence of most two- and three-semester physics courses nationwide. We have worked to make physics interesting and accessible to students while maintaining the mathematical rigor inherent in the subject. With this objective in mind, the content of this textbook has been developed and arranged to provide a logical progression from fundamental to more advanced concepts, building upon what students have already learned and emphasizing connections between topics and between theory and applications. The goal of each section is to enable students not just to recognize concepts, but to work with them in ways that will be useful in later courses and future careers. The organization and pedagogical features were developed and vetted with feedback from science educators dedicated to the project. VOLUME I Unit 1: Mechanics Chapter 1: Units and Measurement Chapter 2: Vectors Chapter 3: Motion Along a Straight Line Chapter 4: Motion in Two and Three Dimensions Chapter 5: Newton's Laws of Motion Chapter 6: Applications of Newton's Laws Chapter 7: Work and Kinetic Energy Chapter 8: Potential Energy and Conservation of Energy Chapter 9: Linear Momentum and Collisions Chapter 10: Fixed-Axis Rotation Chapter 11: Angular Momentum Chapter 12: Static Equilibrium and Elasticity Chapter 13: Gravitation Chapter 14: Fluid Mechanics Unit 2: Waves and Acoustics Chapter 15: Oscillations Chapter 16: Waves Chapter 17: Sound
Download or read book Dynamics of Bodies with Time Variable Mass written by Livija Cveticanin and published by Springer. This book was released on 2015-07-31 with total page 207 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.
Download or read book Attitude Dynamics of Variable Mass Systems written by Song-Min Wang and published by . This book was released on 1993 with total page 230 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book Mechanics of Flight written by Warren F. Phillips and published by John Wiley & Sons. This book was released on 2004-01-29 with total page 986 pages. Available in PDF, EPUB and Kindle. Book excerpt: This comprehensive volume addresses the mechanics of flight through a combination of theory and applications. Topics are presented in a logical order and coverage within each is extensive, including a detailed discussion on the quaterion formulation for six-degree-of-freedom flight.
Download or read book Mechanics written by W. Chester and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt: When I began to write this book, I originally had in mind the needs of university students in their first year. May aim was to keep the mathematics simple. No advanced techniques are used and there are no complicated applications. The emphasis is on an understanding of the basic ideas and problems which require expertise but do not contribute to this understanding are not discussed. How ever, the presentation is more sophisticated than might be considered appropri ate for someone with no previous knowledge of the subject so that, although it is developed from the beginning, some previous acquaintance with the elements of the subject would be an advantage. In addition, some familiarity with element ary calculus is assumed but not with the elementary theory of differential equations, although knowledge of the latter would again be an advantage. It is my opinion that mechanics is best introduced through the motion of a particle, with rigid body problems left until the subject is more fully developed. However, some experienced mathematicians consider that no introduction is complete without a discussion of rigid body mechanics. Conventional accounts of the subject invariably include such a discussion, but with the problems restricted to two-dimensional ones in the books which claim to be elementary. The mechanics of rigid bodies is therefore included but there is no separate discussion of the theory in two dimensions.
Download or read book Effects of Substantial Mass Loss on the Attitude Motion of a Spinning Rocket written by Jeerapa Sookgaew and published by . This book was released on 2004 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Download or read book NASA Scientific and Technical Reports written by United States. National Aeronautics and Space Administration Scientific and Technical Information Division and published by . This book was released on 1965 with total page 1152 pages. Available in PDF, EPUB and Kindle. Book excerpt:
