Record ID

WUT75c826454c3a479ab8f7f0bb84fbf4c1

Author

Paweł Maciąg Paweł Maciąg,, The Institute of Aeronautics and Applied Mechanics (FPAE/IAAM)Faculty of Power and Aeronautical Engineering (FPAE)

Paweł Malczyk Paweł Malczyk,, The Institute of Aeronautics and Applied Mechanics (FPAE/IAAM)Faculty of Power and Aeronautical Engineering (FPAE)

Janusz Frączek Janusz Frączek,, The Institute of Aeronautics and Applied Mechanics (FPAE/IAAM)Faculty of Power and Aeronautical Engineering (FPAE)

Journal series

International Journal for Numerical Methods in Engineering, ISSN 0029-5981, e-ISSN 1097-0207

Issue year

2020

Keywords in original language

Adjoint method, direct differentiation method, optimization, multibody dynamics, optimal control

ASJC Classification

2200 General Engineering; 2604 Applied Mathematics; 2612 Numerical Analysis

Abstract in original language

The design of multibody systems involves high fidelity and reliable techniques and formulations that should help the analyst to make reasonable decisions. Given that constrained equations of motion for the simplest of multibody systems are highly nonlinear, determining the sensitivity terms is a computationally intensive and complex process that requires the application of special procedures. In this paper, two novel Hamiltonian-based approaches are presented for efficient sensitivity analysis of general multibody systems. The developed direct differentiation and the adjoint methods are based on constrained Hamilton’s canonical equations of motion. This formulation provides solutions, which are more stable as compared to the results of direct integration of equations of motion expressed in terms of accelerations due to a reduced differential index of the underlying system of differential-algebraic equations and explicit constraint imposition at the velocity level. The proposed Hamiltonian based methods are both capable of calculating the sensitivity derivatives and keeping the growth of constraint violation errors at a reasonable rate. The Hamiltonian-based procedures derived herein appear to be good alternatives to existing methods for sensitivity analysis of general multibody systems.

DOI

DOI:10.1002/nme.6512 Opening in a new tab

Language

(en) English

Score (nominal)

200

Score source

journalList

Score

Ministerial score = 200.0, 09-05-2022, ArticleFromJournal

Publication indicators

WoS Citations = 1; Scopus Citations = 1; GS Citations = 1; Scopus SNIP: 2018 = 1.565; WoS Impact Factor: 2020 (2 years) = 3.477 - 2020 (5 years) =3.593

Citation count

1

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* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or PerishOpening in a new tab system.