# krainaksiazek dynamics of systems of rigid bodies 20045248

- znaleziono 7 produktów w 1 sklepie

### Elastic Multibody Dynamics Springer Netherlands

**Książki / Literatura obcojęzyczna**

This textbook is an introduction to and exploration of a number of core topics in the field of applied mechanics. On the basis of Lagrange's Principle, a Central Equation of Dynamics is presented which yields a unified view on existing methods. From these, the Projection Equation is selected for the derivation of the motion equations of holonomic and of non-holonomic systems.§The method is applied to rigid multibody systems where the rigid body is defined such that, by relaxation of the rigidity constraints, one can directly proceed to elastic bodies. A decomposition into subsystems leads to a minimal representation and to a recursive representation, respectively, of the equations of motion.§Applied to elastic multibody systems one obtains, along with the use of spatial operators, a straight-on procedure for the interconnected partial and ordinary differential equations and the corresponding boundary conditions. The spatial operators are eventually applied to a RITZ series for approximation. The resulting equations then appear in the same structure as in rigid multibody systems.§The main emphasis is laid on methodical as well as on (graduate level) educational aspects. The text is accompanied by a large number of examples and applications, e.g., from rotor dynamics and robotics. The mathematical prerequisites are subsumed in a short excursion into stability and control.

Sklep: Libristo.pl

### 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

### Robot Dynamics Algorithms, 1 Springer, Berlin

**Książki / Literatura obcojęzyczna**

The purpose of this book is to present computationally efficient algorithms for calculating the dynamics of robot mechanisms represented as systems of rigid bodies. The efficiency is achieved by the use of recursive formulations of the equations of motion, i.e. formulations in which the equations of motion are expressed implicitly in terms of recurrence relations between the quantities describing the system. The use of recursive formulations in dynamics is fairly new, 50 the principles of their operation and reasons for their efficiency are explained. Three main algorithms are described: the recursIve Newton-Euler formulation for inverse dynamics (the calculation of the forces given the accelerations), and the composite-rigid-body and articulated-body methods for forward dynamics (the calculation of the accelerations given the forces). These algorithms are initially described in terms of an un-branched, open loop kinematic chain -- a typical serial robot mechanism. This is done to keep the descriptions of the algorithms simple, and is in line with descriptions appearing in the literature. Once the basic algorithms have been introduced, the restrictions on the mechanism are lifted and the algorithms are extended to cope with kinematic trees and loops, and general constraints at the joints. The problem of simulating the effect of contact between a robot and its environment is also considered. Some consideration is given to the details and practical problems of implementing these algori?hms on a computer.

Sklep: Libristo.pl

### Tensegrity Systems BERTRAMS

**Książki / Literatura obcojęzyczna**

This book discusses analytical tools for designing energy efficient and lightweight structures that embody the concept of tensegrity. The book provides both static and dynamic analysis of special tensegrity structural concepts, which are motivated by biological material architecture. This is the first book written to attempt to integrate structure and control design. Tensegrity Systems discusses analytical tools to design energy efficient and lightweight structures employing the concept of "tensegrity." This word is Buckminister Fuller's contraction of the words "Tensile" and "Integrity," which suggests that integrity or, as we would say, stability of the structure comes from tension. In a tensegrity structure the rigid bodies (the bars), might not have any contact, thus providing extraordinary freedom to control shape, by controlling only tendons. Tensegrity Systems covers both static and dynamic analysis of special tensegrity structural concepts, which are motivated by biological material architecture.§Drawing upon years of practical experience and using numerous examples and illustrative applications, Robert Skelton and Mauricio C. de Oliveira discuss:§The design of tensegrity structures using analytical tools§The integration of tensegrity systems into a combined framework including structural design and control design§The rules for filling space (tesselation) with self-similar structures that guarantee a specific mechanical property are provided§Tensegrity Systems will be of interest to all engineers who design or control light-weight structures, including deployable and robotic structures, and shape controllable structures. Also, Engineers interested in the study of advanced dynamics will find new and useful algorithms for multibody systems.

Sklep: Libristo.pl

### Tensegrity Systems Springer, Berlin

**Książki / Literatura obcojęzyczna**

This book discusses analytical tools for designing energy efficient and lightweight structures that embody the concept of tensegrity. The book provides both static and dynamic analysis of special tensegrity structural concepts, which are motivated by biological material architecture. This is the first book written to attempt to integrate structure and control design. Tensegrity Systems discusses analytical tools to design energy efficient and lightweight structures employing the concept of "tensegrity." This word is Buckminister Fuller's contraction of the words "Tensile" and "Integrity," which suggests that integrity or, as we would say, stability of the structure comes from tension. In a tensegrity structure the rigid bodies (the bars), might not have any contact, thus providing extraordinary freedom to control shape, by controlling only tendons. Tensegrity Systems covers both static and dynamic analysis of special tensegrity structural concepts, which are motivated by biological material architecture.§Drawing upon years of practical experience and using numerous examples and illustrative applications, Robert Skelton and Mauricio C. de Oliveira discuss:§The design of tensegrity structures using analytical tools§The integration of tensegrity systems into a combined framework including structural design and control design§The rules for filling space (tesselation) with self-similar structures that guarantee a specific mechanical property are provided§Tensegrity Systems will be of interest to all engineers who design or control light-weight structures, including deployable and robotic structures, and shape controllable structures. Also, Engineers interested in the study of advanced dynamics will find new and useful algorithms for multibody systems.

Sklep: Libristo.pl

### Computational Methods in Mechanical Systems Springer, Berlin

**Książki / Literatura obcojęzyczna**

This meticulously edited collection of papers on the application of state-of-the-art computational methods to mechanical systems design is based on a NATO Advanced Research workshop held in 1997. Leading international experts treat the analysis, synthesis, optimization, and control of a broad spectrum of mechanical systems, including systems of rigid and flexible bodies that are the basic constituents of mechanisms and robotic devices, as well as multibody systems. Topics covered include kinematics, dynamics, and control of such systems, with special emphasis on modeling and simulation. The theoretical foundations of the underlying methods are covered as well as practical aspects of algorithm development, such as code parallelization and applications to specific areas.

Sklep: Libristo.pl

### Computational Methods in Mechanical Systems Springer, Berlin

**Książki / Literatura obcojęzyczna**

This meticulously edited collection of papers on the application of state-of-the-art computational methods to mechanical systems design is based on a NATO Advanced Research workshop held in 1997. Leading international experts treat the analysis, synthesis, optimization, and control of a broad spectrum of mechanical systems, including systems of rigid and flexible bodies that are the basic constituents of mechanisms and robotic devices, as well as multibody systems. Topics covered include kinematics, dynamics, and control of such systems, with special emphasis on modeling and simulation. The theoretical foundations of the underlying methods are covered as well as practical aspects of algorithm development, such as code parallelization and applications to specific areas.

Sklep: Libristo.pl

Sklepy zlokalizowane w miastach: Warszawa, Kraków, Łódź, Wrocław, Poznań, Gdańsk, Szczecin, Bydgoszcz, Lublin, Katowice

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