000			02722 a2200181 4500
999			_c36225 _d36225
001			nam a22 7a 4500
020			_a9783319565163
082			_a531​.11 BI ES
100			_aBillingsley, John _930352
245			_aEssentials of dynamics and vibrations _cJohn Billingsley
260			_aCham, Switzerland : _bSpringer, _cc2018.
300			_avii, 165 p. : _bill. ; _c25 cm.
505			_a1 Introduction 2 The Essential Mathematics 3 Kinematics and Dynamics of Particles 4 Inertia 5 Momentum 6 Balancing 7 Three Dimensional Kinematics 8 Kinematic Chains 9 Vibration 1 10 Vibration 2 11 Couples, Moments and Euler's Equations 12 Gyroscopes 13 Gears, Motors, and Mechanisms. 1. Overview 2. Particle kinematics and dynamics 3. Linear and angular momentum 4. Inertia 5. Balancing and the inertia tensor 6. Couples, moments and Euler's equations 7. Gyroscopes 8. Kinematics 9. Kinematic chains 10. Inverse kinematics 11. Vibration 12. Modes 13. Rocket science Appendix 1: Mathematicians and operators Appendix 2: Lagrange and Hamilton.
520			_aDynamic objects move in mysterious ways. Their analysis is a difficult subject involving matrices, differential equations and the complex algebra of oscillatory systems. However, in this textbook, the author draws on his long experience of designing autopilots, robots for nuclear inspection and agricultural machine guidance to present the essentials with a light touch. The emphasis is on a deep understanding of the fundamentals rather than rote-learning of techniques. The inertia tensor is presented as a key to understanding motion ranging from boomerangs to gyroscopes. Chains of transformations unravel the motion of a robot arm. To help the reader visualize motion, ranging from unbalanced rotors to vibrating systems with multiple modes and damping, there are abundant simulation examples on a linked website. These will run in any web browser, while their simple code is on open view for modification and experimentation. They show that nonlinear systems present no problems, so that friction damping can be modelled with ease. A particular problem for mechanical engineers is that the vibration topics encroach on the territory of the electrical engineer. State variables open up control theory while the solution of differential equations with sinusoidal inputs is simplified by an understanding of sine-waves as complex exponentials. The linked web site has several areas of mathematics revision to help. A final chapter pokes fun at the misrepresentation of dynamics in cinema productions.
650			_aMathematicians _930353
856			_uhttps://uowd.box.com/s/mmmy1sr4sfsm55dxwl2ac8mmevn52v67 _zLocation Map
942			_cREGULAR