# krainaksiazek dynamics of systems of rigid bodies 20045248

- znaleziono 11 produktów w 1 sklepie

### Rigid Body Dynamics for Space Applications ELSEVIER SCIENCE

**Książki / Literatura obcojęzyczna**

Most space systems can be considered as a system of rigid bodies, and in some cases, with additional elastic and viscoelastic elements and fuel residuals. Rigid Body Dynamics for Space Applications shows the nature of the phenomena and explains the behavior of space objects. The book covers modern problems of spaceflight mechanics, such as attitude dynamics of re-entry and space debris in Earth's atmosphere; dynamics and control of coaxial satellite gyrostats; deployment, dynamics and control of a tether-assisted return mission of a re-entry capsule; and removal of large space debris by a tether tow. Researchers working on spacecraft attitude dynamics or space debris removal as well as those in the fields of mechanics, aerospace engineering and aerospace science will benefit from this book. Provides a complete treatise of modelling attitude for a range of novel and modern attitude control problems of spaceflight mechanicsFeatures chapters on the application of rigid body dynamics to atmospheric re-entries, tethered assisted re-entry and on tethered space debris removalShows relatively simple ways of constructing mathematical models and analytical solutions describing the behavior of very complex material systemsUses modern methods of regular and chaotic dynamics to obtain results

Sklep: Libristo.pl

### Dynamics of Multibody Systems Cambridge University Press

**Książki / Literatura obcojęzyczna**

Dynamics of Multibody Systems, 3rd Edition, first published in 2005, introduces multibody dynamics, with an emphasis on flexible body dynamics. Many common mechanisms such as automobiles, space structures, robots and micromachines have mechanical and structural systems that consist of interconnected rigid and deformable components. The dynamics of these large-scale, multibody systems are highly nonlinear, presenting complex problems that in most cases can only be solved with computer-based techniques. The book begins with a review of the basic ideas of kinematics and the dynamics of rigid and deformable bodies before moving on to more advanced topics and computer implementation. This revised third edition now includes important developments relating to the problem of large deformations and numerical algorithms as applied to flexible multibody systems. The book's wealth of examples and practical applications will be useful to graduate students, researchers, and practising engineers working on a wide variety of flexible multibody systems.

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### Advanced Dynamics of Mechanical Systems Springer, Berlin

**Książki / Literatura obcojęzyczna**

This book introduces a general approach for schematization of mechanical systems with rigid and deformable bodies. It proposes a systems approach to reproduce the interaction of the mechanical system with different force fields such as those due to the action of fluids or contact forces between bodies, i.e., with forces dependent on the system states, introducing the concepts of the stability of motion. In the first part of the text mechanical systems with one or more degrees of freedom with large motion and subsequently perturbed in the neighborhood of the steady state position are analyzed. Both discrete and continuous systems (modal approach, finite elements) are analyzed. The second part is devoted to the study of mechanical systems subject to force fields, the rotor dynamics, techniques of experimental identification of the parameters and random excitations. The book will be especially valuable for students of engineering courses in Mechanical Systems, Aerospace, Automation and Energy but will also be useful for professionals. The book is made accessible to the widest possible audience by numerous, solved examples and diagrams that apply the principles to real engineering applications.

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### Dynamics Dover Publications

**Książki / Literatura obcojęzyczna**

Chapter I. Introduction to the Calculus of Vectors 1.1 Fundamental ideas 1.2 Vectors 1.3 Summary of Vector algebra 1.4 Velocity and acceleration 1.5 Integration of vector functions 1.6 Vector fields 1.7 Elements of particle kinematics 1.8 Rectangular Cartesian coordinates 1.9 Normal and tangential coordinates 1.10 Plane and cylindrical polar coordinates 1.11 Spherical polar coordinates Chapter II. Theory of Particle motion 2.1 Introduction 2.2 Newton's Laws of motion; mass and force 2.3 Units 2.4 Impulse and momentum 2.5 Impulsive forces 2.6 Power, work, and kinetic energy 2.7 Force fields and potential energy 2.8 Mechanical energy and conservation of energy Chapter III. Applications in particle motion 3.1 Introduction 3.2 The uniform force field 3.3 Simple harmonic motion 3.4 Effect of a periodic disturbing force 3.5 Central force motion 3.6 Central repulsive force 3.7 Dissipative forces Chapter IV. Dynamics of particle systems and plane rigid bodies 4.1 Introduction 4.2 Relative motion of two particles 4.3 Dynamics of multiparticle systems 4.4 Kinematics of plane rigid bodies 4.5 Dynamics of plane systems 4.6 Impulse-momentum principles for systems 4.7 The work-energy principle for particle systems and plane rigid bodies 4.8 Work and energy for general plane systems; real and ideal constraints Chapter V. Technical application in plane motion 5.1 Introduction 5.2 Elementary analysis; force and acceleration at particular instants 5.3 Impact and impulsive motion 5.4 Variable mass 5.5 Conservative systems Chapter VI. Rigid-body dynamics in Three dimensions 6.1 Introduction to rigid-body kinematics in space 6.2 General displacement of a rigid body; finite rotations and Euler's theorem 6.3 Small rotations of a rigid body; angular velocity 6.4 Rotating coordinates; general relative motion equations 6.5 The angular momentum of a rigid body; moments and products of inertia 6.6 The kinetic energy of a rigid body; the work-energy principle 6.7 Special forms of the dynamical equations; Euler's equations 6.8 Equilibrium of a rigid body Chapter VII. Three-dimensional applications of the principles of dynamics 7.1 Introduction 7.2 Effects of the Earth's rotation on particle motion near the surface 7.3 Fixed-axis rotation 7.4 Application of d'Alembert's principle 7.5 Gyroscopic effects 7.6 Intrinsic equations of the gyroscope 7.7 Description of spatial position: Euler's angular coordinates Chapter VIII. The principle of virtual work 8.1 Work, energy, and equilibrium 8.2 Equilibrium of a particle 8.3 Equilibrium of systems; the rigid body 8.4 Real systems; potential energy 8.5 Stability of equilibrium 8.6 Summary Chapter IX. Elements of the theory of mechanical vibrations 9.1 Introduction 9.2 Free vibrations of a simple mechanical system 9.3 Effect of a disturbing force 9.4 Effect of a Harmonic disturbing force 9.5 Multiple-degree-of-freedom mechanical systems 9.6 The analogies between electrical and mechanical vibrations Appendix I. Vector algebra AI.1 Scalar and vector quantities AI.2 Vector addition AI.3 Unit vectors AI.4 The Scalar product AI.5 The vector product AI.6 Triple products Appendix II. Properties of the inertia matrix AII.1 The definition of the inertia matrix AII.2 The parallel-axis transfer theorems AII.3 The rotation-of-axis transfer theorems AII.4 Further comments on the determination of the inertia matrix AII.5 Summary AII.6 Inertia properties of uniform bodies Index

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### Introduction to Space Dynamics Dover Publications

**Książki / Literatura obcojęzyczna**

Chapter 1. Introduction 1.1 Basic concepts 1.2 Scalar and Vector Quantities 1.3 Properties of a Vector 1.4 Moment of a Vector 1.5 Angular Velocity Vector 1.6 Derivative of a Vector Chapter 2. Kinematics 2.1 Velocity and acceleration 2.2 Plane Motion (Radial and Transverse Components) 2.3 Tangential and Normal Components 2.4 Plane Motion along a Rotating Curve (Relative Motion) 2.5 General Case of Space Motion 2.6 Motion Relative to the Rotating Earth Chapter 3. Transformation of Coordinates 3.1 Transformation of Displacements 3.2 Transformation of Velocites 3.3 Instantaneous Center 3.4 Euler's Angles 3.5 Transformation of Angular Velocities Chapter 4. Particle Dynamics (Satellite Orbits) 4.1 Force and Momentum 4.2 Impulse and Momentum 4.3 Work and Energy 4.4 Moment of Momentum 4.5 Motion Under a Central Force 4.6 The Two-body Problem 4.7 Orbits of Planets and Satellites 4.8 Geometry of conic Sections 4.9 Orbit Established from Initial conditions 4.10 Satellite Launched with beta subscript 0 = 0 4.11 Cotangential Transfer between Coplanar Circular Orbits 4.12 Transfer between Coplanar Coaxial Elliptic Orbits 4.13 Orbital Change due to Impulsive Thrust 4.14 Perturbation of Orbital Parameters 4.15 Stability of Small Oscillations about a Circular Orbit 4.16 Interception and Rendezvous 4.17 Long-Range Ballistic Trajectories 4.18 Effect of the Earth's Oblateness Chapter 5. Gyrodynamics 5.1 Displacement of a Rigid Body 5.2 Moment of Momentum of a Rigid Body (About a Fixed Point or the Moving Center of Mass) 5.3 Kinetic Energy of a Rigid Body 5.4 Moment of Inertia about a Rotated Axis 5.5 Principal Axes 5.6 Euler's Moment Equation 5.7 Euler's Equation for Principal Axes 5.8 Body of Revolution with Zero External Moment (Body Coordinates) 5.9 Body of Revolution with Zero Moment, in Terms of Euler's Angles 5.10 Unsymmetrical Body with Zero External Moment (Poinsot's Geometric Solution) 5.11 Unequal Moments of Inertia with Zero Moment (Analytical Solution) 5.12 Stability of Rotation about Principal Axes 5.13 General Motion of a Symmetric Gyro or Top 5.14 Steady Precession of a Symmetric Gyro or Top 5.15. Precession and Nutation of the Earth's Polar Axis 5.16 General Motion of a Rigid Body Chapter 6. Dynamics of Gyroscopic Instruments 6.1 Small Oscillations of Gyros 6.2 Oscilaltions About Gimbal Axes 6.3 Gimbal Masses Included (Perturbation Technique) 6.4 The Gyrocompass 6.5 Oscillation of the Gyrocompass 6.6 The Rate Gyro 6.7 The Integrating Gyro 6.8 The Stable Platform 6.9 The Three-Axis Platform 6.10 Inertial Navigation 6.11 Oscillation of Navigational Errors Chapter 7. Space Vehicle Motion 7.1 General Equations in Body Coordinates 7.2 Thrust Misalignment 7.3 Rotations Referred to Inertial Coordinates 7.4 Near Symmetric Body of Revolution with Zero Moment 7.5 Despinning of Satellites 7.6 Attitude Drift of Space Vehicles 7.7 Variable Mass 7.8 Jet Damping (Nonspinning Variable Mass Rocket) 7.9 Euler's Dynamical Equations for Spinning Rockets 7.10 Angle of Attack of the Missile 7.11 General Motion of Spinning Bodies with Varying Configuration and Mass Chapter 8. Performance and Optimization 8.1 Performance of Single-Stage Rockets 8.2 Optimization of Multistage Rockets 8.3 Flight Trajectory Optimization 8.4 Optimum Program for Propellant Utilization 8.5 Gravity Turn Chapter 9. Generalized Theories of Mechanics 9.1 Introduction 9.2 System with Constraints 9.3 Generalized Coordinates 9.4 Holonomic and Nonholonomic systems 9.5 Principle of Virtual work 9.6 D'Alembert's Principle 9.7 Hamilton's Principle 9.8 Lagrange's Equation (Holonomic system) 9.9 Nonholonomic System 9.10 Lagrange's Equation for Impulsive Forces 9.11 Lagrange's Equations for Rotating Coordinates 9.12 Missile Dynamic Analysis General References Appendix A. Matrices Appendix B. Dyadics Appendix C. The Variational Calculus Index

Sklep: Libristo.pl

### Formulas for Dynamics, Acoustics and Vibration John Wiley & Sons Inc

**Książki / Literatura obcojęzyczna**

Over 1000 formulas for solving vibration problems in engineering in dynamics acoustics and vibration are presented in 60 tables for quick reference. The formulas allow a specialist or non-specialist equally well to access 200 years of accumulated knowledge and solutions for dynamics, acoustics and vibration. It also lets the reader to calculate the dynamic response of structural, acoustic, and fluids systems and quickly feed back the results into a design or solve the cause of a troublesome noise or vibration problem without resorting to numerical simulations. The presentation of formulas relates design and loads to response in a simple way that numerical solutions lack. Moreover classically based formulas have a new application--to check the results of numerical and computer solutions. The formulas for dynamic analysis are in a table. The text has examples, explanation, and derivations. Chapter 1 provides definitions, symbols, units, and geometric properties. Chapter 2 has dynamics of point masses and rigid bodies. Chapters 3 through 5 provide natural frequencies and mode shapes for elastic beams, plates, shells, and spring-mass systems. Chapter 6 provides fluid and acoustic solutions to the wave equation. Chapter 7 has formulas for the response of elastic structures to sinusoidal, transient, and random loads. Chapter 8 gives properties of structural solids and fluids. Appendices present approximate and numerical methods for natural frequency and time-history analysis. The algebraic formulas are simple enough that a beginner can calculate the results - no calculus is required.

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### Dynamics of Marine Craft World Scientific Publishing

**Książki / Literatura obcojęzyczna**

This book presents a theoretical treatment, as well as a summary of practical methods of computation, of the forces and moments that act on marine craft. Its aim is to provide the tools necessary for the prediction or simulation of craft motions in calm water and in waves. In addition to developing the required equations, the author gives relations that permit at least approximate evaluation of the coefficients so that useful results can be obtained. The approach begins with the equations of motion for rigid bodies, relative to fixed- and moving-coordinate systems: then, the hydrodynamic forces are examined, starting with hydrostatics and progressing to the forces on a moving vehicle in calm water and (after a review of water-wave theory) in waves. Several detailed examples are presented, including calculations of hydrostatics, horizontal- and vertical-plane directional stability, and wave-induced motions. Also included are unique discussions on various effects, such as fin-hull interactions, numerical stability of integrators, heavy torpedoes, and the dynamics of high-speed craft. The book is intended to be an introductory level graduate text and a reference for the practicing professional.

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### Vehicle-Manipulator Systems Springer

**Książki / Literatura obcojęzyczna**

Furthering the aim of reducing human exposure to hazardous environments, this monograph presents a detailed study of the modeling and control of vehicle-manipulator systems. The text shows how complex interactions can be performed at remote locations using systems that combine the manipulability of robotic manipulators with the ability of mobile robots to locomote over large areas. The first part studies the kinematics and dynamics of rigid bodies and standard robotic manipulators and can be used as an introduction to robotics focussing on robust mathematical modeling. The monograph then moves on to study vehicle-manipulator systems in great detail with emphasis on combining two different configuration spaces in a mathematically sound way. Robustness of these systems is extremely important and Modeling and Control of Vehicle-manipulator Systems effectively represents the dynamic equations using a mathematically robust framework. Several tools from Lie theory and differential geometry are used to obtain globally valid representations of the dynamic equations of vehicle-manipulator systems. The specific characteristics of several different types of vehicle-manipulator systems are included and the various application areas of these systems are discussed in detail. For underwater robots buoyancy and gravity, drag forces, added mass properties, and ocean currents are considered. For space robotics the effects of free fall environments and the strong dynamic coupling between the spacecraft and the manipulator are discussed. For wheeled robots wheel kinematics and non-holonomic motion is treated, and finally the inertial forces are included for robots mounted on a forced moving base. Modeling and Control of Vehicle-manipulator Systems will be of interest to researchers and engineers studying and working on many applications of robotics: underwat

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### Geometric Mechanics and Symmetry Oxford University Press

**Książki / Literatura obcojęzyczna**

Classical mechanics, one of the oldest branches of science, has undergone a long evolution, developing hand in hand with many areas of mathematics, including calculus, differential geometry, and the theory of Lie groups and Lie algebras. The modern formulations of Lagrangian and Hamiltonian mechanics, in the coordinate-free language of differential geometry, are elegant and general. They provide a unifying framework for many seemingly disparate physical systems, such as n--particle systems, rigid bodies, fluids and other continua, and electromagnetic and quantum systems. Geometric Mechanics and Symmetry is a friendly and fast-paced introduction to the geometric approach to classical mechanics, suitable for a one- or two- semester course for beginning graduate students or advanced undergraduates. It fills a gap between traditional classical mechanics texts and advanced modern mathematical treatments of the subject. After a summary of the necessary elements of calculus on smooth manifolds and basic Lie group theory, the main body of the text considers how symmetry reduction of Hamilton's principle allows one to derive and analyze the Euler-Poincare equations for dynamics on Lie groups. Additional topics deal with rigid and pseudo-rigid bodies, the heavy top, shallow water waves, geophysical fluid dynamics and computational anatomy. The text ends with a discussion of the semidirect-product Euler-Poincare reduction theorem for ideal fluid dynamics. A variety of examples and figures illustrate the material, while the many exercises, both solved and unsolved, make the book a valuable class text.

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### Theoretical Mechanics of Particles DOVER PUBLICATIONS

**Książki / Literatura obcojęzyczna**

Preface. Significant Names in Mechanics and Mathematical Physics 1. Basic Principles 2. Accelerated Coordinate Systems 3. Lagrangian Dynamics 4. Small Oscillations 5. Rigid Bodies 6. Hamiltonian Dynamics 7. Strings 8. Membranes 9. Sound Waves in Fluids 10. Surface Waves on Fluids 11. Heat Conduction 12. Viscous Fluids 13. Elastic Continua Appendixes. Index

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### New Foundations for Classical Mechanics Springer Netherlands

**Książki / Literatura obcojęzyczna**

(revised) This is a textbook on classical mechanics at the intermediate level, but its main purpose is to serve as an introduction to a new mathematical language for physics called geometric algebra. Mechanics is most commonly formulated today in terms of the vector algebra developed by the American physicist J. Willard Gibbs, but for some applications of mechanics the algebra of complex numbers is more efficient than vector algebra, while in other applications matrix algebra works better. Geometric algebra integrates all these algebraic systems into a coherent mathematical language which not only retains the advantages of each special algebra but possesses powerful new capabilities. This book covers the fairly standard material for a course on the mechanics of particles and rigid bodies. However, it will be seen that geometric algebra brings new insights into the treatment of nearly every topic and produces simplifications that move the subject quickly to advanced levels. That has made it possible in this book to carry the treatment of two major topics in mechanics well beyond the level of other textbooks. A few words are in order about the unique treatment of these two topics, namely, rotational dynamics and celestial mechanics.

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