{"product_id":"elastic-multibody-dynamics-a-direct-ritz-approach-9789048179503","title":"Elastic Multibody Dynamics: A Direct Ritz Approach","description":"\u003cp\u003e • Author(s): Hartmut Bremer\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Physics - Mathematical \u0026amp; Computational\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis textbook is an introduction to and exploration of a number of core topics in the field of applied mechanics: \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eOn 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. \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe 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. \u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eApplied to elastic multibody systems one obtains, along with the use of spatial operators, \u003c\/p\u003e \u003cp\u003ea 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.\u003c\/p\u003e \u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe 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.\u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45277015736471,"sku":"9789048179503","price":11017.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9789048179503.webp?v=1769287254","url":"https:\/\/atlanticbooks.com\/products\/elastic-multibody-dynamics-a-direct-ritz-approach-9789048179503","provider":"Atlantic Books","version":"1.0","type":"link"}