Eigenvalue analysis of planar linear multibody system under conservative force based on the transfer matrix method
Abstract The linear multibody system transfer matrix method (LMSTMM) provides a powerful tool for analyzing the vibration characteristics of a mechanical system. However, the original LMSTMM cannot resolve the eigenvalues of the systems with ideal hinges (i.e., revolute hinge, sliding hinge, spheric...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2023-03-01
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| Series: | International Journal of Mechanical System Dynamics |
| Subjects: | |
| Online Access: | https://doi.org/10.1002/msd2.12048 |
| _version_ | 1827978536527331328 |
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| author | Jinghong Wang Xiaoting Rui Xun Wang Jianshu Zhang Qinbo Zhou Junjie Gu |
| author_facet | Jinghong Wang Xiaoting Rui Xun Wang Jianshu Zhang Qinbo Zhou Junjie Gu |
| author_sort | Jinghong Wang |
| collection | DOAJ |
| description | Abstract The linear multibody system transfer matrix method (LMSTMM) provides a powerful tool for analyzing the vibration characteristics of a mechanical system. However, the original LMSTMM cannot resolve the eigenvalues of the systems with ideal hinges (i.e., revolute hinge, sliding hinge, spherical hinge, cylindrical hinge, etc.) or bodies under conservative forces due to the lack of the corresponding transfer matrices. This paper enables the LMSTMM to solve the eigenvalues of the planar multibody systems with ideal hinges or rigid bodies under conservative forces. For a rigid body, the transfer matrix can now consider coupling terms between forces and kinematic state perturbations. Also, conservative forces that contribute to the eigenvalues can be considered. Meanwhile, ideal hinges are introduced to LMSTMM, which enables the treatment of eigenvalues of general multibody systems using LMSTMM. Finally, the comparative analysis with ADAMS software and analytical solutions verifies the effectiveness of the proposed approach in this paper. |
| first_indexed | 2024-04-09T21:23:31Z |
| format | Article |
| id | doaj.art-269797e4759948a1a17b023aced27594 |
| institution | Directory Open Access Journal |
| issn | 2767-1402 |
| language | English |
| last_indexed | 2024-04-09T21:23:31Z |
| publishDate | 2023-03-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mechanical System Dynamics |
| spelling | doaj.art-269797e4759948a1a17b023aced275942023-03-28T02:41:26ZengWileyInternational Journal of Mechanical System Dynamics2767-14022023-03-0131122410.1002/msd2.12048Eigenvalue analysis of planar linear multibody system under conservative force based on the transfer matrix methodJinghong Wang0Xiaoting Rui1Xun Wang2Jianshu Zhang3Qinbo Zhou4Junjie Gu5Institute of Launch Dynamics Nanjing University of Science and Technology Nanjing ChinaInstitute of Launch Dynamics Nanjing University of Science and Technology Nanjing ChinaInstitute of Launch Dynamics Nanjing University of Science and Technology Nanjing ChinaInstitute of Launch Dynamics Nanjing University of Science and Technology Nanjing ChinaInstitute of Launch Dynamics Nanjing University of Science and Technology Nanjing ChinaInstitute of Launch Dynamics Nanjing University of Science and Technology Nanjing ChinaAbstract The linear multibody system transfer matrix method (LMSTMM) provides a powerful tool for analyzing the vibration characteristics of a mechanical system. However, the original LMSTMM cannot resolve the eigenvalues of the systems with ideal hinges (i.e., revolute hinge, sliding hinge, spherical hinge, cylindrical hinge, etc.) or bodies under conservative forces due to the lack of the corresponding transfer matrices. This paper enables the LMSTMM to solve the eigenvalues of the planar multibody systems with ideal hinges or rigid bodies under conservative forces. For a rigid body, the transfer matrix can now consider coupling terms between forces and kinematic state perturbations. Also, conservative forces that contribute to the eigenvalues can be considered. Meanwhile, ideal hinges are introduced to LMSTMM, which enables the treatment of eigenvalues of general multibody systems using LMSTMM. Finally, the comparative analysis with ADAMS software and analytical solutions verifies the effectiveness of the proposed approach in this paper.https://doi.org/10.1002/msd2.12048conservative forceseigenvalue analysisideal hingesmodal transformationmultibody system transfer matrix methodstate perturbation |
| spellingShingle | Jinghong Wang Xiaoting Rui Xun Wang Jianshu Zhang Qinbo Zhou Junjie Gu Eigenvalue analysis of planar linear multibody system under conservative force based on the transfer matrix method International Journal of Mechanical System Dynamics conservative forces eigenvalue analysis ideal hinges modal transformation multibody system transfer matrix method state perturbation |
| title | Eigenvalue analysis of planar linear multibody system under conservative force based on the transfer matrix method |
| title_full | Eigenvalue analysis of planar linear multibody system under conservative force based on the transfer matrix method |
| title_fullStr | Eigenvalue analysis of planar linear multibody system under conservative force based on the transfer matrix method |
| title_full_unstemmed | Eigenvalue analysis of planar linear multibody system under conservative force based on the transfer matrix method |
| title_short | Eigenvalue analysis of planar linear multibody system under conservative force based on the transfer matrix method |
| title_sort | eigenvalue analysis of planar linear multibody system under conservative force based on the transfer matrix method |
| topic | conservative forces eigenvalue analysis ideal hinges modal transformation multibody system transfer matrix method state perturbation |
| url | https://doi.org/10.1002/msd2.12048 |
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