research-article

Finite element bond graph model of rotors

Authors:

Mohsen Nakhaeinejad,

Sanghoon Lee,

Michael D. BryantAuthors Info & Claims

SpringSim '10: Proceedings of the 2010 Spring Simulation Multiconference

Article No.: 213, Pages 1 - 6

https://doi.org/10.1145/1878537.1878759

Published: 11 April 2010 Publication History

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Abstract

Lumped parameter models can not sufficiently describe dynamics of many distributed systems, such as a continuous rotating shaft with bending. The finite element method is employed to embed distributed dynamics of rotating shafts with bending into constitutive laws of bond graphs resulting a finite element bond graph model. Defining the nodal displacements, the finite element mass and stiffness matrices are obtained from energy equations, and represented as constitutive relations for multi-port I and C's. Centrifugal forces are included through multi-port C, and the Coriolis forces are embedded via gyrators. Finally, the FE bond graph is reconstructed in a simple vector bond graph form, which can be integrated into any bond graph model of rotating shafts.

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Cited By

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Gonzalez Avalos GBarrera Gallegos NAyala-Jaimes GPadilla Garcia A(2021)Steady State Response of Linear Time Invariant Systems Modeledby Multibond GraphsApplied Sciences10.3390/app1104171711:4(1717)Online publication date: 15-Feb-2021
https://doi.org/10.3390/app11041717
Merzouki RSamantaray APathak POuld Bouamama BMerzouki RSamantaray APathak POuld Bouamama B(2012)Rigid Body, Flexible Body, and Micro Electromechanical SystemsIntelligent Mechatronic Systems10.1007/978-1-4471-4628-5_5(281-433)Online publication date: 25-Nov-2012
https://doi.org/10.1007/978-1-4471-4628-5_5
Nakhaeinejad MBryant M(2011)Dynamic Modeling of Rolling Element Bearings With Surface Contact Defects Using Bond GraphsJournal of Tribology10.1115/1.4003088133:1(011102)Online publication date: 2011
https://doi.org/10.1115/1.4003088

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Published In

SpringSim '10: Proceedings of the 2010 Spring Simulation Multiconference

April 2010

1726 pages

ISBN:9781450300698

General Chairs:
Robert McGraw
RAM Laboratories, Inc
,
Eric Imsand
Auburn University
,
Program Chair:
Michael J. Chinni
US Army - RDECOM - ARDEC

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SIGSIM: ACM Special Interest Group on Simulation and Modeling

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Society for Computer Simulation International

San Diego, CA, United States

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Published: 11 April 2010

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April 11 - 15, 2010

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Gonzalez Avalos GBarrera Gallegos NAyala-Jaimes GPadilla Garcia A(2021)Steady State Response of Linear Time Invariant Systems Modeledby Multibond GraphsApplied Sciences10.3390/app1104171711:4(1717)Online publication date: 15-Feb-2021
https://doi.org/10.3390/app11041717
Merzouki RSamantaray APathak POuld Bouamama BMerzouki RSamantaray APathak POuld Bouamama B(2012)Rigid Body, Flexible Body, and Micro Electromechanical SystemsIntelligent Mechatronic Systems10.1007/978-1-4471-4628-5_5(281-433)Online publication date: 25-Nov-2012
https://doi.org/10.1007/978-1-4471-4628-5_5
Nakhaeinejad MBryant M(2011)Dynamic Modeling of Rolling Element Bearings With Surface Contact Defects Using Bond GraphsJournal of Tribology10.1115/1.4003088133:1(011102)Online publication date: 2011
https://doi.org/10.1115/1.4003088

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Bond graph for a finite element of a beam subjected to axial force and lateral excitation, with applications

Finite element formulation of various four unknown shear deformation theories for functionally graded plates

A finite element model for the analysis of 3D axisymmetric laminated shells with piezoelectric sensors and actuators: Bending and free vibrations

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