Direct sensitivity analysis of planar multibody systems in the Hamiltonian framework

Paweł Maciąg , Paweł Malczyk , Janusz Frączek

Abstract

Optimal design of multibody systems is of primary importance to researchers working in various fields. The goal of the paper is to present a novel Hamiltonian based approach for finding design sensitivities of multibody systems (MBS) through the use of direct differentiation method. The total derivatives of Hamiltonian equations of motion (EOM) based on the augmented Lagrangian in terms of the design are determined in the text. An algorithm for the evaluation of a gradient of an objective function is also delivered. Sample test case is presented that demonstrates the validity of the proposed approach.
Author Paweł Maciąg (FPAE / IAAM)
Paweł Maciąg,,
- The Institute of Aeronautics and Applied Mechanics
, Paweł Malczyk (FPAE / IAAM)
Paweł Malczyk,,
- The Institute of Aeronautics and Applied Mechanics
, Janusz Frączek (FPAE / IAAM)
Janusz Frączek,,
- The Institute of Aeronautics and Applied Mechanics
Pages3097-3106
Publication size in sheets0.5
Article number305
Book Uhl Tadeusz (eds.): Advances in Mechanism and Machine Science, 2019, ISBN 978-3-030-20130-2, [978-3-030-20131-9]
Keywords in Englishsensitivity analysis, direct differentitation method, optimization multibody systems
Keywords in original languagesensitivity analysis, direct differentitation method, optimization multibody systems
Abstract in original languageOptimal design of multibody systems is of primary importance to researchers working in various fields. The goal of the paper is to present a novel Hamiltonian based approach for finding design sensitivities of multibody systems (MBS) through the use of direct differentiation method. The total derivatives of Hamiltonian equations of motion (EOM) based on the augmented Lagrangian in terms of the design are determined in the text. An algorithm for the evaluation of a gradient of an objective function is also delivered. Sample test case is presented that demonstrates the validity of the proposed approach.
DOIDOI:10.1007/978-3-030-20131-9_305
URL https://link.springer.com/chapter/10.1007/978-3-030-20131-9_305
Languageen angielski
Score (nominal)5
Score sourcepublisherList
ScoreMinisterial score = 5.0, 20-10-2019, ChapterFromConference
Publication indicators Scopus Citations = 0
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