Port-Hamiltonian Formulations of Some Elastodynamics Theories of Isotropic and Linearly Elastic Shells: Naghdi–Reissner’s Moderately Thick Shells
The port-Hamiltonian system approach is intended to be an innovative and unifying way of modeling multiphysics systems, by expressing all of them as systems of conservation laws. Indeed, the increasing developments in recent years allow finding better control and coupling strategies. This work aimed...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
MDPI AG
2023-02-01
|
| Series: | Applied Sciences |
| Subjects: | |
| Online Access: | https://www.mdpi.com/2076-3417/13/4/2608 |
| _version_ | 1797622467834937344 |
|---|---|
| author | Miguel Charlotte Ignacio Fernandez Núnez Yves Gourinat Denis Matignon |
| author_facet | Miguel Charlotte Ignacio Fernandez Núnez Yves Gourinat Denis Matignon |
| author_sort | Miguel Charlotte |
| collection | DOAJ |
| description | The port-Hamiltonian system approach is intended to be an innovative and unifying way of modeling multiphysics systems, by expressing all of them as systems of conservation laws. Indeed, the increasing developments in recent years allow finding better control and coupling strategies. This work aimed to apply such an approach to Naghdi–Reissner’s five-kinematic-field shell model in linear elasticity, while including often-neglected higher-order intrinsic geometric coupling effects, therefore preparing the theoretical background required for the coupling (or interconnection) with an acoustic fluid model and the different types of interactions that can arise among them. The model derived thusly can be used for controller design in a wide variety of applications such as inflatable space structures, launcher tank vibration damping, payload vibration protection using smart materials, and many other related applications. |
| first_indexed | 2024-03-11T09:11:41Z |
| format | Article |
| id | doaj.art-1a2aab5217a84720a1a8a240a391a681 |
| institution | Directory Open Access Journal |
| issn | 2076-3417 |
| language | English |
| last_indexed | 2024-03-11T09:11:41Z |
| publishDate | 2023-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Applied Sciences |
| spelling | doaj.art-1a2aab5217a84720a1a8a240a391a6812023-11-16T18:58:11ZengMDPI AGApplied Sciences2076-34172023-02-01134260810.3390/app13042608Port-Hamiltonian Formulations of Some Elastodynamics Theories of Isotropic and Linearly Elastic Shells: Naghdi–Reissner’s Moderately Thick ShellsMiguel Charlotte0Ignacio Fernandez Núnez1Yves Gourinat2Denis Matignon3Institut Clément ADER, Université de Toulouse, ISAE-SUPAERO, INSA, UTIII, IMT Mines Albi, CNRS, 31400 Toulouse, FranceISAE-SUPAERO, Université de Toulouse, 31055 Toulouse, FranceInstitut Clément ADER, Université de Toulouse, ISAE-SUPAERO, INSA, UTIII, IMT Mines Albi, CNRS, 31400 Toulouse, FranceISAE-SUPAERO, Université de Toulouse, 31055 Toulouse, FranceThe port-Hamiltonian system approach is intended to be an innovative and unifying way of modeling multiphysics systems, by expressing all of them as systems of conservation laws. Indeed, the increasing developments in recent years allow finding better control and coupling strategies. This work aimed to apply such an approach to Naghdi–Reissner’s five-kinematic-field shell model in linear elasticity, while including often-neglected higher-order intrinsic geometric coupling effects, therefore preparing the theoretical background required for the coupling (or interconnection) with an acoustic fluid model and the different types of interactions that can arise among them. The model derived thusly can be used for controller design in a wide variety of applications such as inflatable space structures, launcher tank vibration damping, payload vibration protection using smart materials, and many other related applications.https://www.mdpi.com/2076-3417/13/4/2608port-Hamiltonian systemsmixed variational formulationsNaghdi–Reissner’s shell theoryelastodynamics |
| spellingShingle | Miguel Charlotte Ignacio Fernandez Núnez Yves Gourinat Denis Matignon Port-Hamiltonian Formulations of Some Elastodynamics Theories of Isotropic and Linearly Elastic Shells: Naghdi–Reissner’s Moderately Thick Shells Applied Sciences port-Hamiltonian systems mixed variational formulations Naghdi–Reissner’s shell theory elastodynamics |
| title | Port-Hamiltonian Formulations of Some Elastodynamics Theories of Isotropic and Linearly Elastic Shells: Naghdi–Reissner’s Moderately Thick Shells |
| title_full | Port-Hamiltonian Formulations of Some Elastodynamics Theories of Isotropic and Linearly Elastic Shells: Naghdi–Reissner’s Moderately Thick Shells |
| title_fullStr | Port-Hamiltonian Formulations of Some Elastodynamics Theories of Isotropic and Linearly Elastic Shells: Naghdi–Reissner’s Moderately Thick Shells |
| title_full_unstemmed | Port-Hamiltonian Formulations of Some Elastodynamics Theories of Isotropic and Linearly Elastic Shells: Naghdi–Reissner’s Moderately Thick Shells |
| title_short | Port-Hamiltonian Formulations of Some Elastodynamics Theories of Isotropic and Linearly Elastic Shells: Naghdi–Reissner’s Moderately Thick Shells |
| title_sort | port hamiltonian formulations of some elastodynamics theories of isotropic and linearly elastic shells naghdi reissner s moderately thick shells |
| topic | port-Hamiltonian systems mixed variational formulations Naghdi–Reissner’s shell theory elastodynamics |
| url | https://www.mdpi.com/2076-3417/13/4/2608 |
| work_keys_str_mv | AT miguelcharlotte porthamiltonianformulationsofsomeelastodynamicstheoriesofisotropicandlinearlyelasticshellsnaghdireissnersmoderatelythickshells AT ignaciofernandeznunez porthamiltonianformulationsofsomeelastodynamicstheoriesofisotropicandlinearlyelasticshellsnaghdireissnersmoderatelythickshells AT yvesgourinat porthamiltonianformulationsofsomeelastodynamicstheoriesofisotropicandlinearlyelasticshellsnaghdireissnersmoderatelythickshells AT denismatignon porthamiltonianformulationsofsomeelastodynamicstheoriesofisotropicandlinearlyelasticshellsnaghdireissnersmoderatelythickshells |