@inproceedings{762373c9490d4dc4be7863e09c369d85,
title = "Logarithmic complexity sensitivity analysis of flexible multibody systems",
abstract = "This paper presents a recursive direct differentiation method for sensitivity analysis of flexible multibody systems. Large rotations and translations in the system are modeled as rigid body degrees of freedom while the deformation field within each body is approximated by superposition of modal shape functions. The equations of motion for the flexible members are differentiated at body level and the sensitivity information is generated via a recursive divide and conquer scheme. The number of differentiations required in this method is minimal. The method works concurrently with the forward dynamics simulation of the system and requires minimum data storage. The use of divide and conquer framework makes the method linear and logarithmic in complexity for serial and parallel implementation, respectively, and ideally suited for general topologies. The method is applied to a flexible two arm robotic manipulator to calculate sensitivity information and the results are compared with the finite difference approach.",
author = "Bhalerao, \{Kishor D.\} and Mohammad Poursina and Anderson, \{Kurt S.\}",
year = "2009",
doi = "10.1115/DETC2009-87585",
language = "English (US)",
isbn = "9780791849019",
series = "Proceedings of the ASME Design Engineering Technical Conference",
number = "PARTS A, B AND C",
pages = "1833--1836",
booktitle = "ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009",
edition = "PARTS A, B AND C",
note = "ASME 2009 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE2009 ; Conference date: 30-08-2009 Through 02-09-2009",
}