{"product_id":"on-the-adjoint-formulation-of-andrei-schaffer-9783836476676","title":"On the Adjoint Formulation of Design Sensitivity Analysis of Multibody Dynamics","description":"A 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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Andrei Schaffer\u003cbr\u003e\u003cb\u003eISBN-10:\u003c\/b\u003e 3836476673\u003cbr\u003e\u003cb\u003eISBN-13:\u003c\/b\u003e 9783836476676\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e VDM Verlag\u003cbr\u003e\u003cb\u003eLanguage:\u003c\/b\u003e English\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 10\/06\/2008\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 292\u003cbr\u003e\u003cb\u003eFormat:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.87lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.61d","brand":"Andrei Schaffer","offers":[{"title":"Paperback","offer_id":47305557344511,"sku":"9783836476676","price":85.32,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0662\/2982\/9887\/files\/img_72275290-9c74-4ecc-9b1e-f3472b38ecb4.jpg?v=1758831213","url":"https:\/\/www.whiterainbookhouse.com\/products\/on-the-adjoint-formulation-of-andrei-schaffer-9783836476676","provider":"WR Book House","version":"1.0","type":"link"}