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Lagrangian Mechanics
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Otros Autores: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Newark :
John Wiley & Sons, Incorporated,
2019.
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| Temas: | |
| Acceso en línea: | Texto completo |
Tabla de Contenidos:
- Cover; Half-Title Page; Dedication; Title Page; Copyright Page; Contents; Preface; The format adopted in this book; Synopsis; Acknowledgments; 1. Kinematics; 1.1. Observer
- Reference frame; 1.2. Time; 1.2.1. Date postulate; 1.2.2. Date change postulate; 1.3. Space; 1.3.1. Physical space; 1.3.2. Mathematical space; 1.3.3. Position postulate; 1.3.4. Typical operations on the mathematical space E; 1.3.5. Position change postulate; 1.3.6. The common reference frame R0; 1.3.7. Coordinate system of a reference frame; 1.3.8. Fixed point and fixed vector in a reference frame
- 1.4. Derivative of a vector with respect to a reference frame1.5. Velocity of a particle; 1.6. Angular velocity; 1.7. Reference frame defined by a rigid body: Rigid body defined by a reference frame; 1.8. Point attached to a rigid body: Vector attached to a rigid body; 1.9. Velocities in a rigid body; 1.10. Velocities in a mechanical system; 1.11. Acceleration; 1.11.1. Acceleration of a particle; 1.11.2. Accelerations in a mechanical system; 1.12. Composition of velocities and accelerations; 1.12.1. Composition of velocities; 1.12.2. Composition of accelerations
- 1.13. Angular momentum: Dynamic moment2. Parameterization and Parameterized Kinematics; 2.1. Position parameters; 2.1.1. Position parameters of a particle; 2.1.2. Position parameters for a rigid body; 2.1.3. Position parameters for a system of rigid bodies; 2.2. Mechanical joints; 2.3. Constraint equations; 2.4. Parameterization; 2.5. Dependence of the rotation tensor of the reference frame on the retained parameters; 2.6. Velocity of a particle; 2.7. Angular velocity; 2.8. Velocities in a rigid body; 2.9. Velocities in a mechanical system; 2.10. Parameterized velocity of a particle
- 2.10.1. Definition2.10.2. Practical calculation of the parameterized velocity; 2.11. Parameterized velocities in a rigid body; 2.12. Parameterized velocities in a mechanical system; 2.13. Lagrange's kinematic formula; 2.14. Parameterized kinetic energy; 3. Efforts; 3.1. Forces; 3.2. Torque; 3.3. Efforts; 3.4. External and internal efforts; 3.4.1. External effort; 3.4.2. Internal effort; 3.5. Given efforts and constraint efforts; 3.6. Moment field; 4. Virtual Kinematics; 4.1. Virtual derivative of a vector with respect to a reference frame; 4.2. Virtual velocity of a particle
- 4.3. Virtual angular velocity4.4. Virtual velocities in a rigid body; 4.4.1. The virtual velocity field (VVF) associated with a parameterization; 4.4.2. Virtual velocity field (VVF) in a rigid body; 4.5. Virtual velocities in a system; 4.5.1. VVF associated with a parameterization; 4.5.2. VVF on each rigid body of a system; 4.5.3. Virtual velocity of the center of mass; 4.6. Composition of virtual velocities; 4.6.1. Composition of virtual velocities of a particle; 4.6.2. Composition of virtual angular velocities; 4.6.3. Composition of VVFs in rigid bodies