{"product_id":"on-the-adjoint-formulation-of-design-sensitivity-analysis-of-multibody-dynamics-9783836476676","title":"On the Adjoint Formulation of Design Sensitivity Analysis of Multibody Dynamics","description":"\u003cp\u003e • Author(s): Andrei Schaffer\u003cbr\u003e • Publisher: VDM Verlag\u003cbr\u003e • Publisher Imprint: VDM Verlag\u003cbr\u003e • BISAC: Engineering (General)\u003c\/p\u003e\u003cp\u003eA modified Adjoint method is presented, in which computation can be distributed to 2d+2 processors, where d is the number of degrees of freedom of the multibody system, and the Adjoint backward initial value problem (IVP) is replaced by a boundary value problem (BVP), which is solved through a backward multiple shooting algorithm. In the equivalent BVP formulation, each time-step is solved in the backward direction, but time-steps advance in the forward direction. As a result, the memory load for storing generalized coordinates during integration of the DAE of motion, is minimized. The specific objectives are (...) to develop a new method, called the Piecewise Adjoint method, that (1) requires the integration of a number of DAE that does not depend on the number of design parameters; (2) has a parallel computational structure; (3) progresses forward in time; and (4) minimizes the memory load required by the backward integration of the Adjoint DAE.\u003c\/p\u003e","brand":"VDM Verlag","offers":[{"title":"Paperback","offer_id":46885454151831,"sku":"9783836476676","price":7302.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9783836476676.webp?v=1770247646","url":"https:\/\/atlanticbooks.com\/products\/on-the-adjoint-formulation-of-design-sensitivity-analysis-of-multibody-dynamics-9783836476676","provider":"Atlantic Books","version":"1.0","type":"link"}