Spatial Rigid-Flexible-Liquid Coupling Dynamics of Towed System Analyzed by a Hamiltonian Finite Element Method

An effective Hamiltonian finite element method is presented in this paper to investigate the three-dimensional dynamic responses of a towed cable-payload system with large deformation. The dynamics of a flexible towed system moving in a medium is a classical and complex rigid-flexible-liquid couplin...

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Autores principales:	Huaiping Ding, Qiao Wang, Wei Hu, Xiaochun Yin
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	towed system three-dimensional dynamics rigid-flexible-liquid coupling Hamiltonian system aerodynamic effect Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581
Acceso en línea:	https://doaj.org/article/0176c463052f4c0488f50240c196994d
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id	oai:doaj.org-article:0176c463052f4c0488f50240c196994d
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spelling	oai:doaj.org-article:0176c463052f4c0488f50240c196994d2021-11-25T18:03:43ZSpatial Rigid-Flexible-Liquid Coupling Dynamics of Towed System Analyzed by a Hamiltonian Finite Element Method10.3390/jmse91111572077-1312https://doaj.org/article/0176c463052f4c0488f50240c196994d2021-10-01T00:00:00Zhttps://www.mdpi.com/2077-1312/9/11/1157https://doaj.org/toc/2077-1312An effective Hamiltonian finite element method is presented in this paper to investigate the three-dimensional dynamic responses of a towed cable-payload system with large deformation. The dynamics of a flexible towed system moving in a medium is a classical and complex rigid-flexible-liquid coupling problem. The dynamic governing equation is derived from the Hamiltonian system and built-in canonical form. A Symplectic algorithm is built to analyze the canonical equations numerically. Logarithmic strain is applied to estimate the large deformation effect and the system stiffness matrix will be updated for each calculation time step. A direct integral solution of the medium drag effect is derived in which the traditional coordinate transformation is avoided. A conical pendulum system and a 180° U-turn towed cable system are conducted and the results are compared with those retraced from the existing Hamiltonian method based on small deformation theory and the dynamic software of Livermore software technology corp. (LS-DYNA). Furthermore, a circularly towed system is analyzed and compared with experimental data. The comparisons show that the presented method is more accurate than the existing Hamiltonian method when large deformation occurred in the towed cable due to the application of logarithmic strain. Furthermore, it is more effective than LS-DYNA to treat the rigid-flexible-liquid coupling problems in the costs of CPU time.Huaiping DingQiao WangWei HuXiaochun YinMDPI AGarticletowed systemthree-dimensional dynamicsrigid-flexible-liquid couplingHamiltonian systemaerodynamic effectNaval architecture. Shipbuilding. Marine engineeringVM1-989OceanographyGC1-1581ENJournal of Marine Science and Engineering, Vol 9, Iss 1157, p 1157 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	towed system three-dimensional dynamics rigid-flexible-liquid coupling Hamiltonian system aerodynamic effect Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581
spellingShingle	towed system three-dimensional dynamics rigid-flexible-liquid coupling Hamiltonian system aerodynamic effect Naval architecture. Shipbuilding. Marine engineering VM1-989 Oceanography GC1-1581 Huaiping Ding Qiao Wang Wei Hu Xiaochun Yin Spatial Rigid-Flexible-Liquid Coupling Dynamics of Towed System Analyzed by a Hamiltonian Finite Element Method
description	An effective Hamiltonian finite element method is presented in this paper to investigate the three-dimensional dynamic responses of a towed cable-payload system with large deformation. The dynamics of a flexible towed system moving in a medium is a classical and complex rigid-flexible-liquid coupling problem. The dynamic governing equation is derived from the Hamiltonian system and built-in canonical form. A Symplectic algorithm is built to analyze the canonical equations numerically. Logarithmic strain is applied to estimate the large deformation effect and the system stiffness matrix will be updated for each calculation time step. A direct integral solution of the medium drag effect is derived in which the traditional coordinate transformation is avoided. A conical pendulum system and a 180° U-turn towed cable system are conducted and the results are compared with those retraced from the existing Hamiltonian method based on small deformation theory and the dynamic software of Livermore software technology corp. (LS-DYNA). Furthermore, a circularly towed system is analyzed and compared with experimental data. The comparisons show that the presented method is more accurate than the existing Hamiltonian method when large deformation occurred in the towed cable due to the application of logarithmic strain. Furthermore, it is more effective than LS-DYNA to treat the rigid-flexible-liquid coupling problems in the costs of CPU time.
format	article
author	Huaiping Ding Qiao Wang Wei Hu Xiaochun Yin
author_facet	Huaiping Ding Qiao Wang Wei Hu Xiaochun Yin
author_sort	Huaiping Ding
title	Spatial Rigid-Flexible-Liquid Coupling Dynamics of Towed System Analyzed by a Hamiltonian Finite Element Method
title_short	Spatial Rigid-Flexible-Liquid Coupling Dynamics of Towed System Analyzed by a Hamiltonian Finite Element Method
title_full	Spatial Rigid-Flexible-Liquid Coupling Dynamics of Towed System Analyzed by a Hamiltonian Finite Element Method
title_fullStr	Spatial Rigid-Flexible-Liquid Coupling Dynamics of Towed System Analyzed by a Hamiltonian Finite Element Method
title_full_unstemmed	Spatial Rigid-Flexible-Liquid Coupling Dynamics of Towed System Analyzed by a Hamiltonian Finite Element Method
title_sort	spatial rigid-flexible-liquid coupling dynamics of towed system analyzed by a hamiltonian finite element method
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/0176c463052f4c0488f50240c196994d
work_keys_str_mv	AT huaipingding spatialrigidflexibleliquidcouplingdynamicsoftowedsystemanalyzedbyahamiltonianfiniteelementmethod AT qiaowang spatialrigidflexibleliquidcouplingdynamicsoftowedsystemanalyzedbyahamiltonianfiniteelementmethod AT weihu spatialrigidflexibleliquidcouplingdynamicsoftowedsystemanalyzedbyahamiltonianfiniteelementmethod AT xiaochunyin spatialrigidflexibleliquidcouplingdynamicsoftowedsystemanalyzedbyahamiltonianfiniteelementmethod
_version_	1718411659474632704

Spatial Rigid-Flexible-Liquid Coupling Dynamics of Towed System Analyzed by a Hamiltonian Finite Element Method

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