{"product_id":"multi-body-kinematics-and-dynamics-with-lie-groups-hardback-9781785482311","title":"Multi-Body Kinematics and Dynamics with Lie Groups (Hardback) 9781785482311","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eMulti-Body Kinematics and Dynamics with Lie Groups\u003c\/font\u003e\u003cbr\u003e\r\n\r\n\r\n\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003e\u003cp\u003ePresents the different aspects of the Lie group and how it may be used in problems of kinematics and dynamics of bodies\u003c\/p\u003e\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eDominique Paul Chevallier (Author), Jean Lerbet (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9781785482311, Elsevier Science\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eHardback, published 22 November 2017\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e334 pages\u003cbr\u003e22.9 x 15.1 x 2.4 cm, 0.66 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e\u003ci\u003eMulti-body Kinematics and Dynamics with Lie Groups\u003c\/i\u003e explores the use of Lie groups in the kinematics and dynamics of rigid body systems.\u003c\/p\u003e  \u003cp\u003eThe first chapter reveals the formal properties of Lie groups on the examples of rotation and Euclidean displacement groups. Chapters 2 and 3 show the specific algebraic properties of the displacement group, explaining why dual numbers play a role in kinematics (in the so-called screw theory). Chapters 4 to 7 make use of those mathematical tools to expound the kinematics of rigid body systems and in particular the kinematics of open and closed kinematical chains. A complete classification of their singularities demonstrates the efficiency of the method.\u003c\/p\u003e  \u003cp\u003eDynamics of multibody systems leads to very big computations. Chapter 8 shows how Lie groups make it possible to put them in the most compact possible form, useful for the design of software, and expands the example of tree-structured systems.\u003c\/p\u003e  \u003cp\u003eThis book is accessible to all interested readers as no previous knowledge of the general theory is required. \u003c\/p\u003e\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e\u003cp\u003e1. The Displacement Group as a Lie Group 2. Dual Numbers and \"Dual Vectors\" in Kinematics 3. The \"Transference Principle\" 4. Kinematics of a Rigid Body and Rigid Body Systems 5. Kinematics of Open Chains, Singularities 6. Closed Kinematic Chains: Mechanisms Theory 7. Dynamics 8. Dynamics of Rigid Body Systems\u003c\/p\u003e\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Maths for engineers [\u003ca title=\"See our other books on Maths for engineers\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20engineers%20%5BTBJ%5D%22\"\u003eTBJ\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"ISTE Press - Elsevier","offers":[{"title":"Default Title","offer_id":46651735245080,"sku":"9781785482311","price":125.59,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9781785482311.jpg?v=1696694812","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/multi-body-kinematics-and-dynamics-with-lie-groups-hardback-9781785482311","provider":"Freshly Printed Books","version":"1.0","type":"link"}