Adjoint sensitivity index-3 augmented Lagrangian formulation with projections. Issue 1 (2nd January 2022)

• Record Type: Journal Article
• Authors: Dopico, Daniel; Sandu, Adrian; Sandu, Corina
• Is Part Of: Mechanics based design of structures and machines. Volume 50:Issue 1(2022)
• Page Start: 48
• Page End: 78
• Publication Date: 2022-01-02
• Subjects: Index-3 augmented Lagrangian method -- multibody system dynamics -- projections -- sensitivity analysis; Structural analysis (Engineering) -- Periodicals; Structural design -- Periodicals; 624.17
• DOI: 10.1080/15397734.2021.1890614
• Languages: English
• ISSNs: 1539-7734

Abstract

Abstract: The interest on closed-form analytical sensitivity equations based on the classical forward dynamics formulations, started shortly after the equations were ready and became popular. A vast effort was devoted by the authors in the last years to derive the forward and adjoint sensitivity equations for some state-of-the-art formulations of practical interest. Recently, the forward sensitivity equations for the index-3 augmented Lagrangian formulation with projections (the ALI3-P formulation) have been derived. In this article, the ALI3-P adjoint sensitivity equations are derived and implemented in the MBSLIM library as a general code and tested in one academic example and one real-life multibody system.