{ "item_title" : "On the Adjoint Formulation of Design Sensitivity Analysis of Multibody Dynamics", "item_author" : [" Andrei Schaffer "], "item_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.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/3/83/647/667/3836476673_b.jpg", "price_data" : { "retail_price" : "85.32", "online_price" : "85.32", "our_price" : "85.32", "club_price" : "85.32", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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