Mass and Force Lumping: An Essential Enhancement to the Intrinsic Beam Finite Element Discretization
This paper introduces the novel application of the mass and force lumping technique to enhance the finite element discretization of the fully intrinsic beam formulation. In our aeroelastic system model, 2-D unsteady aerodynamics were incorporated alongside simple calculations for thrust and gravity....
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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MDPI AG
2023-11-01
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| Series: | Aerospace |
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| Online Access: | https://www.mdpi.com/2226-4310/10/11/957 |
| _version_ | 1827640998919929856 |
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| author | Jiachen Wang Zhou Zhou |
| author_facet | Jiachen Wang Zhou Zhou |
| author_sort | Jiachen Wang |
| collection | DOAJ |
| description | This paper introduces the novel application of the mass and force lumping technique to enhance the finite element discretization of the fully intrinsic beam formulation. In our aeroelastic system model, 2-D unsteady aerodynamics were incorporated alongside simple calculations for thrust and gravity. Through the central difference discretization method, the discretized system was thoroughly examined, shedding light on the advantages of the mass and force lumping approach. With the use of a first-order lumping method, we successfully reconstructed the inertia matrices, external forces, and moments. The resulting equations are more systematically structured, facilitating the extraction of a regular state-space linear system using the direct index reduction method post-linearization. Numerical results further confirm that the proposed techniques can effectively capture the nonlinear dynamics of aeroelastic systems, enabling equation reconstruction and leading to significant benefits in system order reduction and flight dynamical analysis. |
| first_indexed | 2024-03-09T17:07:17Z |
| format | Article |
| id | doaj.art-53ad0ceb80104ceda5c666110e131b78 |
| institution | Directory Open Access Journal |
| issn | 2226-4310 |
| language | English |
| last_indexed | 2024-03-09T17:07:17Z |
| publishDate | 2023-11-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Aerospace |
| spelling | doaj.art-53ad0ceb80104ceda5c666110e131b782023-11-24T14:22:52ZengMDPI AGAerospace2226-43102023-11-01101195710.3390/aerospace10110957Mass and Force Lumping: An Essential Enhancement to the Intrinsic Beam Finite Element DiscretizationJiachen Wang0Zhou Zhou1School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, ChinaSchool of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, ChinaThis paper introduces the novel application of the mass and force lumping technique to enhance the finite element discretization of the fully intrinsic beam formulation. In our aeroelastic system model, 2-D unsteady aerodynamics were incorporated alongside simple calculations for thrust and gravity. Through the central difference discretization method, the discretized system was thoroughly examined, shedding light on the advantages of the mass and force lumping approach. With the use of a first-order lumping method, we successfully reconstructed the inertia matrices, external forces, and moments. The resulting equations are more systematically structured, facilitating the extraction of a regular state-space linear system using the direct index reduction method post-linearization. Numerical results further confirm that the proposed techniques can effectively capture the nonlinear dynamics of aeroelastic systems, enabling equation reconstruction and leading to significant benefits in system order reduction and flight dynamical analysis.https://www.mdpi.com/2226-4310/10/11/957fully intrinsic equationgeometrically exact beamdifferential-algebraic equationregular state spacemass and force lumping |
| spellingShingle | Jiachen Wang Zhou Zhou Mass and Force Lumping: An Essential Enhancement to the Intrinsic Beam Finite Element Discretization Aerospace fully intrinsic equation geometrically exact beam differential-algebraic equation regular state space mass and force lumping |
| title | Mass and Force Lumping: An Essential Enhancement to the Intrinsic Beam Finite Element Discretization |
| title_full | Mass and Force Lumping: An Essential Enhancement to the Intrinsic Beam Finite Element Discretization |
| title_fullStr | Mass and Force Lumping: An Essential Enhancement to the Intrinsic Beam Finite Element Discretization |
| title_full_unstemmed | Mass and Force Lumping: An Essential Enhancement to the Intrinsic Beam Finite Element Discretization |
| title_short | Mass and Force Lumping: An Essential Enhancement to the Intrinsic Beam Finite Element Discretization |
| title_sort | mass and force lumping an essential enhancement to the intrinsic beam finite element discretization |
| topic | fully intrinsic equation geometrically exact beam differential-algebraic equation regular state space mass and force lumping |
| url | https://www.mdpi.com/2226-4310/10/11/957 |
| work_keys_str_mv | AT jiachenwang massandforcelumpinganessentialenhancementtotheintrinsicbeamfiniteelementdiscretization AT zhouzhou massandforcelumpinganessentialenhancementtotheintrinsicbeamfiniteelementdiscretization |