# krainaksiazek dynamics of systems of rigid bodies 20045248

- znaleziono 7 produktów w 1 sklepie

### Intermediate Dynamics Springer, Berlin

**Książki / Literatura obcojęzyczna**

As the name implies, Intermediate Dynamics: A Linear Algebraic Approach views "intermediate dynamics"--Newtonian 3-D rigid body dynamics and analytical mechanics--from the perspective of the mathematical field. This is particularly useful in the former: the inertia matrix can be determined through simple translation (via the Parallel Axis Theorem) and rotation of axes using rotation matrices. The inertia matrix can then be determined for simple bodies from tabulated moments of inertia in the principal axes; even for bodies whose moments of inertia can be found only numerically, this procedure allows the inertia tensor to be expressed in arbitrary axes--something particularly important in the analysis of machines, where different bodies' principal axes are virtually never parallel. To understand these principal axes (in which the real, symmetric inertia tensor assumes a diagonalized "normal form"), virtually all of Linear Algebra comes into play. Thus the mathematical field is first reviewed in a rigorous, but easy-to-visualize manner. 3-D rigid body dynamics then become a mere application of the mathematics. Finally analytical mechanics--both Lagrangian and Hamiltonian formulations--is developed, where linear algebra becomes central in linear independence of the coordinate differentials, as well as in determination of the conjugate momenta.Features include:- A general, uniform approach applicable to "machines" as well as single rigid bodies- Complete proofs of all mathematical material. Similarly, there are over 100 detailed examples giving not only the results, but all intermediate calculations- An emphasis on integrals of the motion in the Newtonian dynamics- Development of the Analytical Mechanics based on Virtual Work rather than Variational Calculus, both making the presentation more economical conceptually, and the resulting principles able to treat both conservative and non-conservative systems.

Sklep: Libristo.pl

### 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

### 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

### Classical Mechanics Dover Publications

**Książki / Literatura obcojęzyczna**

Chapter 1. Kinematics of Particles 1. Introduction 2. Definition and Description of Particles 3. Velocity 4. Acceleration 5. Special Coordinate Systems 6. Vector Algebra 7. Kinematics and Measurement Exercises Chapter 2. The Laws of Motion 8. Mass 9. Momentum and Force 10. Kinetic Energy 11. Potential Energy 12. Conservation of Energy 13. Angular Momentum 14. Rigid Body Rotating about a Fixed Point 15. A Theorem on Quadratic Functions 16. Inertial and Gravitational Masses Exercises Chapter 3. Conservative Systems with One Degree of Freedom 17. The Oscillator 18. The Plan Pendulum 19. Child-Langmuir Law Exercises Chapter 4. Two-Particle Systems 20. Introduction 21. Reduced Mass 22. Relative Kinetic Energy 23. Laboratory and Center-of-Mass Systems 24. Central Motion Exercises Chapter 5. Time-Dependent Forces and Nonconservative Motion 25. Introduction 26. The Inverted Pedulum 27. Rocket Motion 28. Atmospheric Drag 29. The Poynting-Robertson Effect 30. The Damped Oscillator Exercises Chapter 6. Lagrange's Equations of Motion 31. Derivation of Lagrange's Equations 32. The Lagrangian Function 33. The Jacobian Integral 34. Momentum Integrals 35. Charged Particle in an Electromagnetic Field Exercises Chapter 7. Applications of Lagrange's Equations 36. Orbits under a Central Force 37. Kepler Motion 38. Rutherford Scattering 39. The Spherical Pendulum 40. Larmor's Theorem 41. The Cylindrical Magnetron Exercises Chapter 8. Small Oscillations 42. Oscillations of a Natural System 43. Systems with Few Degrees of Freedom 44. "The Stretched String, Discrete Masses" 45. Reduction of the Number of Degrees of Freedom 46. Laplace Transforms and Dissipative Systems Exercises Chapter 9. Rigid Bodies 47. Displacements of a Rigid Body 48. Euler's Angles 49. Kinematics of Rotation 50. The Momental Ellipsoid 51. The Free Rotator 52. Euler's Equations of Motion Exercises Chapter 10. Hamiltonian Theory 53. Hamilton's Equations 54. Hamilton's Equations in Various Coordinate Systems 55. Charged Particle in an Electromagnetic Field 56. The Virial Theorem 57. Variational Principles 58. Contact Transformations 59. Alternative Forms of Contact Transformations 60. Alternative Forms of the Equations of Motion Exercises Chapter 11. The Hamilton-Jacobi Method 61. The Hamilton-Jacobi Equation 62. Action and Angle Variables-Periodic Systems 63. Separable Mulitply-Periodic Systems 64. Applications Exercises Chapter 12. Infinitesimal Contact Transformations 65. Transformation Theory of Classical Dynamics 66. Poisson Brackets 67. Jacobi's Identity 68. Poisson Brackets in Quantum Mechanics Exercises Chapter 13. Further Development of Transformation Theory 69. Notation 70. Integral Invariants and Liouville's Theorem 71. Lagrange Brackets 72. Change of Independent Variable 73. Extended Contact Transformations 74. Perturbation Theroy 75. Stationary State Perturbation Theory 76. Time-Dependent Perturbation Theory 77. Quasi Coordinates and Quasi Momenta Exercises Chapter 14. Special Applications 78. Noncentral Forces 79. Spin Motion 80. Variational Principles in Rocket Motion 81. The Boltzmann and Navier-Stokes Equations Chapter 15. Continuous Media and Fields 82. The Stretched String 83. Energy-Momentum Relations 84. Three-Dimensional Media and Fields 85. Hamiltonian Form of Field Theory Exercises Chapter 16. Introduction to Special Relativity Theory 86. Introduction 87. Space-Time and Lorentz Transformation 88. The Motion of a Free Particle 89. Charged Particle in an Electromagnetic Field 90. Hamiltonian Formulation of the Equations of Motion 91. Transformation Theory and the Lorentz Group 92. Thomas Precession Exercises Chapter 17. The Orbits of Particles in High Energy Accelerators 93. Introduction 94. Equilibrium Orbits 95. Betatron Oscillations 96. Weak Focusing Accelerators 97. Strong Focusing Accelerators 98. Acceleration and Synchrotron Oscillations Appendix I Riemannian Geometry Appendix II Linear Vector Spaces Appendix III Group Theory and Molecular Vibrations Apendix IV Quaternions and Pauli Spin Matrices Index

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t1=0.023, t2=0, t3=0, t4=0, t=0.023