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research-article

Discrete adjoint method for the sensitivity analysis of flexible multibody systems

[+] Author and Article Information
Alfonso Callejo

Department of Aerospace Engineering, University of Maryland, College Park, Maryland 20742
alcallejo@gmail.com

Valentin Sonneville

Department of Aerospace Engineering, University of Maryland, College Park, Maryland 20742
vspsonn@umd.edu

Olivier Bauchau

Department of Aerospace Engineering, University of Maryland, College Park, Maryland 20742
obauchau@umd.edu

1Corresponding author.

ASME doi:10.1115/1.4041237 History: Received May 17, 2018; Revised August 15, 2018

Abstract

The gradient-based design optimization of mechanical systems require robust and efficient sensitivity analysis tools. The adjoint method is regarded as the most efficient semi-analytical method to evaluate sensitivity derivatives for problems involving numerous design parameters and relatively few objective functions. This paper presents a discrete version of the adjoint method based on the generalized-alpha time integration scheme, which is applied to the dynamic simulation of flexible multibody systems. Rather than using backward integration, the proposed approach leads to a straightforward algebraic procedure that provides design sensitivities evaluated to machine accuracy. The approach is based on an intrinsic representation of motion that does not require a parameterization of rotation. Design parameters associated with rigid bodies, kinematic joints, and beam sectional properties are considered. Rigid and flexible mechanical systems are investigated to validate the proposed approach and demonstrate its accuracy, efficiency, and robustness.

Copyright (c) 2018 by ASME
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