Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de Incertezas paramétricas
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Data de Publicação: | 2020 |
Tipo de documento: | Tese |
Idioma: | por |
Título da fonte: | Repositório Institucional da UFU |
Texto Completo: | https://repositorio.ufu.br/handle/123456789/30470 http://doi.org/10.14393/ufu.te.2020.645 |
Resumo: | This work is dedicated to numerical-computational modeling of viscoelastically damped sandwich beam structures and subject to non-linearity by large displacements. To evaluate the nonlinear effects, the strain field was modeled according to the classical theory of Von Karman and the nonlinear response of the system obtained by combining the Galerkin method and the Harmonic Balance method. In order to represent the effects of damping on the Galerkin base, it was necessary to solve the complex eigenvalue problem, and in this case, an iterative method was proposed so that the undamped natural frequencies converged to the damped frequencies. The costly computational effort during the calculation of the complex eigenvalues was reduced thanks to the model reduction method proposed in this work. In order to take into account the uncertainties arising from geometric and physical factors, a non-linear stochastic model based on the discretization of random Karhunen-Loève fields was also evaluated. To verify the accuracy of the deterministic and stochastic numerical-computational model for the nonlinear sandwich beam, an experimental procedure was also carried out inside a thermal camera with strict temperature control. Through the various examples of simulations and experimental tests, the results show that the methodologies proposed in this work were able to represent the influence of operational and environmental conditions on dynamic responses in viscoelastic systems with geometric nonlinearity. It was verified both numerically and experimentally that the non-linear response of the system is influenced by factors such as the excitation force and the operating temperature of the viscoelastic material. |
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Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de Incertezas paramétricasNumerical-computational modeling of viscoelastic sandwich beams subject to large displacements in the presence of parametric uncertaintiesMateriais viscoelásticosVibrações não-linearesIncertezas paramétricasElementos finitos estocásticos.Viscoelastic materialsNon-linear vibrationsParametric uncertaintiesStochastic finite elementsEngenharia mecânicaCNPQ::ENGENHARIAS::ENGENHARIA MECANICA::MECANICA DOS SOLIDOSEngenharia mecânicaThis work is dedicated to numerical-computational modeling of viscoelastically damped sandwich beam structures and subject to non-linearity by large displacements. To evaluate the nonlinear effects, the strain field was modeled according to the classical theory of Von Karman and the nonlinear response of the system obtained by combining the Galerkin method and the Harmonic Balance method. In order to represent the effects of damping on the Galerkin base, it was necessary to solve the complex eigenvalue problem, and in this case, an iterative method was proposed so that the undamped natural frequencies converged to the damped frequencies. The costly computational effort during the calculation of the complex eigenvalues was reduced thanks to the model reduction method proposed in this work. In order to take into account the uncertainties arising from geometric and physical factors, a non-linear stochastic model based on the discretization of random Karhunen-Loève fields was also evaluated. To verify the accuracy of the deterministic and stochastic numerical-computational model for the nonlinear sandwich beam, an experimental procedure was also carried out inside a thermal camera with strict temperature control. Through the various examples of simulations and experimental tests, the results show that the methodologies proposed in this work were able to represent the influence of operational and environmental conditions on dynamic responses in viscoelastic systems with geometric nonlinearity. It was verified both numerically and experimentally that the non-linear response of the system is influenced by factors such as the excitation force and the operating temperature of the viscoelastic material.Tese (Doutorado)Este trabalho se dedica a modelagem numérico-computacional de estruturas do tipo viga sanduiche amortecida viscoelásticamente e sujeita a não linearidade por grandes deslocamentos. Para avaliar os efeitos não lineares, o campo das deformações foi modelado de acordo com a teoria clássica de Von Karman e a resposta não linear do sistema obtida pela combinação entre o método de Galerkin e o método do Balanço Harmônico. Para representar os efeitos do amortecimento na base de Galerkin, foi necessário resolver o problema de autovalores complexo, e nesse caso, um método iterativo foi proposto para que as frequências naturais não amortecidas convergissem para as frequências amortecidas. O oneroso esforço computacional durante o cálculo dos autovalores complexos foi reduzido graças ao método de redução de modelo proposto neste trabalho. Para levar em conta as incertezas advindas de fatores geométricos e físicos, foi avaliado também um modelo estocástico não linear baseado na discretização de campos aleatórios de Karhunen-Loève. Para verificar a precisão do modelo numérico-computacional determinístico e estocástico para a viga sanduiche não linear, foi realizado também um procedimento experimental dentro de uma camâra térmica com controle rigoroso da temperatura. Por meio dos vários exemplos de simulações e ensaios experimentais, os resultados demonstram-se que as metodologias propostas neste deste trabalho foram capazes de representar a influência das condições operacionais e ambientais nas respostas dinâmicas em sistemas viscoelásticos com não linearidade geométrica. Foi verificado tanto numericamente quanto experimentalmente que a resposta não linear do sistema sofre influencia de fatores como a força de excitação e a temperatura de operação do material viscoelástico.Universidade Federal de UberlândiaBrasilPrograma de Pós-graduação em Engenharia MecânicaBorges, Romes Antoniohttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4737737P7&tokenCaptchar=03AGdBq24AdnrGkIXi1EeUHMQfS2qhb2j4DrWcsVYHrPzo9UJY930VhApKF3_m26sS7xJNxbjJInWpO-66zu_eXF6_MOTJbzXJrSGBbMFaiot16n4Eaunes05nPOd7OyTdG4K50U134G3k8nqP9edZRBvEJkG0F8dC7Q9TDO4DMRI9hGGPNB0UxLZnydNqC0GvRw8RdOm-GntF73BRLjVJP8SOH1f6s3tGdygf0b0JItoaZu5ABXobqtujffzc_Aef4wIwT2i1ANGohGTFeLtW8s41HV_YU09_qsc65w-aay59SjTK6AJoN2gNFtyuYGOKqgpdlHCmm7UUGBKMMbSi65MJSb_k9qSRwnPIojBpOI3TgQQVPutxe5ci9HKFcoFg1bQj5xFURsoqnTLoCL-lThrxy2Za2jLYCIqI_vdQUzLHKf9ZnA5JNQPOYU1MhHjAW1fnMmsZVn54F-KZi9e0lXTgcyOVjtiriQLima, Antônio Marcos Gonçalves dehttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4766019D6&tokenCaptchar=03AGdBq27rWPX-NsEUrMCwXaOv8F-jsAuEqC6rMKTDfbrq0xzv0ODAwysG7NLuVo4uqYcQkct8YjSNfoxEOTLJMm9rC9yCkVrB3BkXvoTfQePSDz587Ib-4MwnRiItGUUtNX4Capc_EUBmIoJgTiwxapeADteoVil0KX5N0pG6p9TWzu7mgL_nLroy4BZnDVMIWTarGOnKgoxVtpqKu0fo3rHGkYWe-pJeElME8cv81cT1wHwKDErmbgcoopsuYwbAwPhtnt2-cj0ZASzA07wH4eH_0oFLJOm4pzHff5LzA7CQ9FrGn8sYtR1uZ9Mrh0Sm6YZ9WM7FaM9Vet-4PT1DjWjLmtQHASzxErpxOy2Cuyxeyv_vKJKFsF6BeZlIhDFjkdjXg_mj8dN1SXgVd4YSRxBcLMx0PYn25D5qCkI80nr2dp8w0gAGG9_3lQTJbjmky0e8aGtqrN8JxdX7cxD04yQ1yP0vWKFJeQLobato, Fran Sergiohttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4169590P3&tokenCaptchar=03AGdBq247ll1WgmG0gSmkksk18AdJ7c_sv0Q95oF-FHyi6BUDNUqJv1J_6OzuHDwWp6l09gSSnF9gy0hvIds-ItcoIK6ExtNsDNp-p3eQFseLqG8C5kcL1-C73d_ajgouNu9Az-bTWOrphCYGdUx9DDJNfWIhOuFbFsE49h-9S6nnLExueRo3ckRIvE3oJeNrRKx9INuP7Ccp6oY5_nreEjiXKqDDrnu0IsRAqNfstbnuRjDz2x2128YtrIikzb_j1rLcCECPtgXbrN86la8l1cRId-V1uDoNKNjy5gN_cRXR_SOyj_pI5Ly_T_FRO5Vjf5ywF0o4bsAtrsF6jSp-4qkn5xewh19xqe8Ros87muKSrT8Njl1BFYIealUYwgx3T6Cc85sKS74FbUFUwQaukKdiQR1s2EQbAgEGYFwofONE_vlXHTBLlI_t9UZPYrVE0C1LTU-vLOgOB9bKG5zRkwnATnk8o00RfwCavalini Junior, Aldemir Aparecidohttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4235430Y7&tokenCaptchar=03AGdBq26u1ZboGMHjx9cyFZqT6c6KYxdZ8LqLlc2R7rvJQWkEE5mw3zvMLUnr1Hu4OVYFsBs-FJWvs8pW6ivJi4vG6DkZWO6L2NKvFpozbkWi1tLT82lWiHYqxUhwWBbXyLMyKUbctkHBDb1T8vfvr63jDrnmQW3lzAuYI4cHnBoheo-24XTRN8CSE2TVJkfOAWU8EmlAjNercx3p8gSS5d9NN2zp35oh-3t4BAzpMloceBgt5Pjahp_UVFQMJlXRBykVDDVINxRB2Ae0N1URArzohrJw2d9ZjEFe4REse8xGoh5G0-rcOSKCihm-oLZfxRTXdwlvCFXKJAntXta2YwpjtRiuCX3yF5bPxMQPa1Z96coSV-0gh5WJxbm35ghEtoPswXTedxWXka7axDDhWxKOMfT2s851csYaDrE9VUJue4ySQTpaoAj_B12JE-PyUHtERJefsL4J3QX-txNJdGvirziC3LqIMwSanches, Leonardohttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4352187H4&tokenCaptchar=03AGdBq27hHaC3Y7Fyk3wVWr53_5-dSu8uuyT5lWQEEZY1OsS1xIw3ocmGvqrymTDjMXfTgeOruFJGZDIawY-kn8j5gA5QTvSNagAgkNE-lZAWMAoCOAo57j4burG7l9fErt6xcucxhrebsCfa_DZMJ3Vz4h9gcwyFLBYCPoeIlsuIqgJYXtfRSsvW4De0MhmAXCOGPlafDi5VFRvMzLsYKDYjehycH4DhgkIATZyY4ifC5YNJvhiTKfl_nFxO5FMQnNBDvpogyzh5mUCZ22A7Vezk2I2bUVZX_lvtTbHqrPvIWOsC_khauIjTWIpjgk8e3H-ztKew2AoaJ9lYzDA7wRkv9eyd0iAV0ivdQlvILWeq4tA2n669X8Bz2eiebl4bXCL7H3T73Ov_OIa86k102R9lJJ_Z1mdkbos0MefzPu98gWTgOu1XjPE_lPiWi0VHcXh1_uyeTV-HopTSnata9kLEfOxXysZaMwKoroishi, Edson Hidekihttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4131604T0&tokenCaptchar=03AGdBq26K_WtU-dc5mZi_vsL3i04NDYV1ehzvvsrwZuuWmMnbPlHASGLcaClCUyYk5cXoo8HnaJgR6kruozDG9BJZ_r5ysQascQvEV8vO28oPpkXieJYrP4c9OUenZrurUomUixdyGQcE3OEtbevR6xuQ6p68ZQfzMI_LJ9HsObqbKv7r5A6cIr5C2JZMWEMgOoNHXEmr3set5w7J1E2qJk0oW1pfJSy5vaEDbGGlUbZKgOkLwROxjmdV_5GrLywBh9t3w5iqE5k2P2DgqrLlCQXN3yIwkBA5_qgYtuHbbHODhTnrmp1RiZRizZVhZhR8fBHjzm_wSPYkQC9r8YeLI9Pail92jAdeeCwlAYbGqZLWwK5PfZRZynkMGpZLefYmx76tbqKdVqC843fzV4ksWqqtjTw3XtO8lsob_-p4KBOM-xLyAfP__u54TGdcnDsJR7tIQMruCN16DANUZyT_PN6GcZXTwh6ukwCunha Júnior, Sebastião Simões dahttp://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4769196P0&tokenCaptchar=03AGdBq2631Svnz2ZRAIcmzJjUmTj-EwgJY9J3228uFGSxTArL7L4E8ib2NfAhDHgfLMFWyn1C7L9QA_-RUiW8gNYxVWmT2fdrsGKPQ_d6VqMlbwyVVG5vXsXD7YrhEZUs7MISxbLE8Omm5Z3dGLcoaZcQE-3NBnNNw6s2-ZnIpeGSqo-p54VMDPxyY-huuPsc30DLNHs5bZlmTQ8j6oaN8j8GadF0KxQ6_pztzvAHlkz8xlRceowC9KX9engtwZReLIISG7ENQZg14k_K0CeJOHUR415SxJ8zFAdi7kqP-8bL2gK1CYgx58NpYgIusJvQxkTwtq37_bB1A3-ZFBNysl-yS50rug3bTXE5Mb3XQzV4aoOfH-n7tJYxHFemrY-ieqXcqgk9wVDee4iGyHJ8IyokBGdNS-gf3dvKvxyKhmHLcfXfZlcJ-LTKzTDbcI8c3IVG1cOy4t1IiFM-Lwt1UtjeOzaq5WHC1wFonseca Júnior, Lázaro Antônio da2020-11-23T19:44:24Z2020-11-23T19:44:24Z2020-10-02info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/doctoralThesisapplication/pdfFONSECA JÚNIOR, Lázaro Antônio da. Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de incertezas paramétricas. 2020. 126 f. Tese (Doutorado em Engenharia Mecânica) - Universidade Federal de Uberlândia, Uberlândia, 2020. DOI http://doi.org/10.14393/ufu.te.2020.645https://repositorio.ufu.br/handle/123456789/30470http://doi.org/10.14393/ufu.te.2020.645porinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UFUinstname:Universidade Federal de Uberlândia (UFU)instacron:UFU2020-11-24T06:07:51Zoai:repositorio.ufu.br:123456789/30470Repositório InstitucionalONGhttp://repositorio.ufu.br/oai/requestdiinf@dirbi.ufu.bropendoar:2020-11-24T06:07:51Repositório Institucional da UFU - Universidade Federal de Uberlândia (UFU)false |
dc.title.none.fl_str_mv |
Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de Incertezas paramétricas Numerical-computational modeling of viscoelastic sandwich beams subject to large displacements in the presence of parametric uncertainties |
title |
Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de Incertezas paramétricas |
spellingShingle |
Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de Incertezas paramétricas Fonseca Júnior, Lázaro Antônio da Materiais viscoelásticos Vibrações não-lineares Incertezas paramétricas Elementos finitos estocásticos. Viscoelastic materials Non-linear vibrations Parametric uncertainties Stochastic finite elements Engenharia mecânica CNPQ::ENGENHARIAS::ENGENHARIA MECANICA::MECANICA DOS SOLIDOS Engenharia mecânica |
title_short |
Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de Incertezas paramétricas |
title_full |
Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de Incertezas paramétricas |
title_fullStr |
Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de Incertezas paramétricas |
title_full_unstemmed |
Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de Incertezas paramétricas |
title_sort |
Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de Incertezas paramétricas |
author |
Fonseca Júnior, Lázaro Antônio da |
author_facet |
Fonseca Júnior, Lázaro Antônio da |
author_role |
author |
dc.contributor.none.fl_str_mv |
Borges, Romes Antonio http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4737737P7&tokenCaptchar=03AGdBq24AdnrGkIXi1EeUHMQfS2qhb2j4DrWcsVYHrPzo9UJY930VhApKF3_m26sS7xJNxbjJInWpO-66zu_eXF6_MOTJbzXJrSGBbMFaiot16n4Eaunes05nPOd7OyTdG4K50U134G3k8nqP9edZRBvEJkG0F8dC7Q9TDO4DMRI9hGGPNB0UxLZnydNqC0GvRw8RdOm-GntF73BRLjVJP8SOH1f6s3tGdygf0b0JItoaZu5ABXobqtujffzc_Aef4wIwT2i1ANGohGTFeLtW8s41HV_YU09_qsc65w-aay59SjTK6AJoN2gNFtyuYGOKqgpdlHCmm7UUGBKMMbSi65MJSb_k9qSRwnPIojBpOI3TgQQVPutxe5ci9HKFcoFg1bQj5xFURsoqnTLoCL-lThrxy2Za2jLYCIqI_vdQUzLHKf9ZnA5JNQPOYU1MhHjAW1fnMmsZVn54F-KZi9e0lXTgcyOVjtiriQ Lima, Antônio Marcos Gonçalves de http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4766019D6&tokenCaptchar=03AGdBq27rWPX-NsEUrMCwXaOv8F-jsAuEqC6rMKTDfbrq0xzv0ODAwysG7NLuVo4uqYcQkct8YjSNfoxEOTLJMm9rC9yCkVrB3BkXvoTfQePSDz587Ib-4MwnRiItGUUtNX4Capc_EUBmIoJgTiwxapeADteoVil0KX5N0pG6p9TWzu7mgL_nLroy4BZnDVMIWTarGOnKgoxVtpqKu0fo3rHGkYWe-pJeElME8cv81cT1wHwKDErmbgcoopsuYwbAwPhtnt2-cj0ZASzA07wH4eH_0oFLJOm4pzHff5LzA7CQ9FrGn8sYtR1uZ9Mrh0Sm6YZ9WM7FaM9Vet-4PT1DjWjLmtQHASzxErpxOy2Cuyxeyv_vKJKFsF6BeZlIhDFjkdjXg_mj8dN1SXgVd4YSRxBcLMx0PYn25D5qCkI80nr2dp8w0gAGG9_3lQTJbjmky0e8aGtqrN8JxdX7cxD04yQ1yP0vWKFJeQ Lobato, Fran Sergio http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4169590P3&tokenCaptchar=03AGdBq247ll1WgmG0gSmkksk18AdJ7c_sv0Q95oF-FHyi6BUDNUqJv1J_6OzuHDwWp6l09gSSnF9gy0hvIds-ItcoIK6ExtNsDNp-p3eQFseLqG8C5kcL1-C73d_ajgouNu9Az-bTWOrphCYGdUx9DDJNfWIhOuFbFsE49h-9S6nnLExueRo3ckRIvE3oJeNrRKx9INuP7Ccp6oY5_nreEjiXKqDDrnu0IsRAqNfstbnuRjDz2x2128YtrIikzb_j1rLcCECPtgXbrN86la8l1cRId-V1uDoNKNjy5gN_cRXR_SOyj_pI5Ly_T_FRO5Vjf5ywF0o4bsAtrsF6jSp-4qkn5xewh19xqe8Ros87muKSrT8Njl1BFYIealUYwgx3T6Cc85sKS74FbUFUwQaukKdiQR1s2EQbAgEGYFwofONE_vlXHTBLlI_t9UZPYrVE0C1LTU-vLOgOB9bKG5zRkwnATnk8o00Rfw Cavalini Junior, Aldemir Aparecido http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4235430Y7&tokenCaptchar=03AGdBq26u1ZboGMHjx9cyFZqT6c6KYxdZ8LqLlc2R7rvJQWkEE5mw3zvMLUnr1Hu4OVYFsBs-FJWvs8pW6ivJi4vG6DkZWO6L2NKvFpozbkWi1tLT82lWiHYqxUhwWBbXyLMyKUbctkHBDb1T8vfvr63jDrnmQW3lzAuYI4cHnBoheo-24XTRN8CSE2TVJkfOAWU8EmlAjNercx3p8gSS5d9NN2zp35oh-3t4BAzpMloceBgt5Pjahp_UVFQMJlXRBykVDDVINxRB2Ae0N1URArzohrJw2d9ZjEFe4REse8xGoh5G0-rcOSKCihm-oLZfxRTXdwlvCFXKJAntXta2YwpjtRiuCX3yF5bPxMQPa1Z96coSV-0gh5WJxbm35ghEtoPswXTedxWXka7axDDhWxKOMfT2s851csYaDrE9VUJue4ySQTpaoAj_B12JE-PyUHtERJefsL4J3QX-txNJdGvirziC3LqIMw Sanches, Leonardo http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4352187H4&tokenCaptchar=03AGdBq27hHaC3Y7Fyk3wVWr53_5-dSu8uuyT5lWQEEZY1OsS1xIw3ocmGvqrymTDjMXfTgeOruFJGZDIawY-kn8j5gA5QTvSNagAgkNE-lZAWMAoCOAo57j4burG7l9fErt6xcucxhrebsCfa_DZMJ3Vz4h9gcwyFLBYCPoeIlsuIqgJYXtfRSsvW4De0MhmAXCOGPlafDi5VFRvMzLsYKDYjehycH4DhgkIATZyY4ifC5YNJvhiTKfl_nFxO5FMQnNBDvpogyzh5mUCZ22A7Vezk2I2bUVZX_lvtTbHqrPvIWOsC_khauIjTWIpjgk8e3H-ztKew2AoaJ9lYzDA7wRkv9eyd0iAV0ivdQlvILWeq4tA2n669X8Bz2eiebl4bXCL7H3T73Ov_OIa86k102R9lJJ_Z1mdkbos0MefzPu98gWTgOu1XjPE_lPiWi0VHcXh1_uyeTV-HopTSnata9kLEfOxXysZaMw Koroishi, Edson Hideki http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4131604T0&tokenCaptchar=03AGdBq26K_WtU-dc5mZi_vsL3i04NDYV1ehzvvsrwZuuWmMnbPlHASGLcaClCUyYk5cXoo8HnaJgR6kruozDG9BJZ_r5ysQascQvEV8vO28oPpkXieJYrP4c9OUenZrurUomUixdyGQcE3OEtbevR6xuQ6p68ZQfzMI_LJ9HsObqbKv7r5A6cIr5C2JZMWEMgOoNHXEmr3set5w7J1E2qJk0oW1pfJSy5vaEDbGGlUbZKgOkLwROxjmdV_5GrLywBh9t3w5iqE5k2P2DgqrLlCQXN3yIwkBA5_qgYtuHbbHODhTnrmp1RiZRizZVhZhR8fBHjzm_wSPYkQC9r8YeLI9Pail92jAdeeCwlAYbGqZLWwK5PfZRZynkMGpZLefYmx76tbqKdVqC843fzV4ksWqqtjTw3XtO8lsob_-p4KBOM-xLyAfP__u54TGdcnDsJR7tIQMruCN16DANUZyT_PN6GcZXTwh6ukw Cunha Júnior, Sebastião Simões da http://buscatextual.cnpq.br/buscatextual/visualizacv.do?id=K4769196P0&tokenCaptchar=03AGdBq2631Svnz2ZRAIcmzJjUmTj-EwgJY9J3228uFGSxTArL7L4E8ib2NfAhDHgfLMFWyn1C7L9QA_-RUiW8gNYxVWmT2fdrsGKPQ_d6VqMlbwyVVG5vXsXD7YrhEZUs7MISxbLE8Omm5Z3dGLcoaZcQE-3NBnNNw6s2-ZnIpeGSqo-p54VMDPxyY-huuPsc30DLNHs5bZlmTQ8j6oaN8j8GadF0KxQ6_pztzvAHlkz8xlRceowC9KX9engtwZReLIISG7ENQZg14k_K0CeJOHUR415SxJ8zFAdi7kqP-8bL2gK1CYgx58NpYgIusJvQxkTwtq37_bB1A3-ZFBNysl-yS50rug3bTXE5Mb3XQzV4aoOfH-n7tJYxHFemrY-ieqXcqgk9wVDee4iGyHJ8IyokBGdNS-gf3dvKvxyKhmHLcfXfZlcJ-LTKzTDbcI8c3IVG1cOy4t1IiFM-Lwt1UtjeOzaq5WHC1w |
dc.contributor.author.fl_str_mv |
Fonseca Júnior, Lázaro Antônio da |
dc.subject.por.fl_str_mv |
Materiais viscoelásticos Vibrações não-lineares Incertezas paramétricas Elementos finitos estocásticos. Viscoelastic materials Non-linear vibrations Parametric uncertainties Stochastic finite elements Engenharia mecânica CNPQ::ENGENHARIAS::ENGENHARIA MECANICA::MECANICA DOS SOLIDOS Engenharia mecânica |
topic |
Materiais viscoelásticos Vibrações não-lineares Incertezas paramétricas Elementos finitos estocásticos. Viscoelastic materials Non-linear vibrations Parametric uncertainties Stochastic finite elements Engenharia mecânica CNPQ::ENGENHARIAS::ENGENHARIA MECANICA::MECANICA DOS SOLIDOS Engenharia mecânica |
description |
This work is dedicated to numerical-computational modeling of viscoelastically damped sandwich beam structures and subject to non-linearity by large displacements. To evaluate the nonlinear effects, the strain field was modeled according to the classical theory of Von Karman and the nonlinear response of the system obtained by combining the Galerkin method and the Harmonic Balance method. In order to represent the effects of damping on the Galerkin base, it was necessary to solve the complex eigenvalue problem, and in this case, an iterative method was proposed so that the undamped natural frequencies converged to the damped frequencies. The costly computational effort during the calculation of the complex eigenvalues was reduced thanks to the model reduction method proposed in this work. In order to take into account the uncertainties arising from geometric and physical factors, a non-linear stochastic model based on the discretization of random Karhunen-Loève fields was also evaluated. To verify the accuracy of the deterministic and stochastic numerical-computational model for the nonlinear sandwich beam, an experimental procedure was also carried out inside a thermal camera with strict temperature control. Through the various examples of simulations and experimental tests, the results show that the methodologies proposed in this work were able to represent the influence of operational and environmental conditions on dynamic responses in viscoelastic systems with geometric nonlinearity. It was verified both numerically and experimentally that the non-linear response of the system is influenced by factors such as the excitation force and the operating temperature of the viscoelastic material. |
publishDate |
2020 |
dc.date.none.fl_str_mv |
2020-11-23T19:44:24Z 2020-11-23T19:44:24Z 2020-10-02 |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/doctoralThesis |
format |
doctoralThesis |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
FONSECA JÚNIOR, Lázaro Antônio da. Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de incertezas paramétricas. 2020. 126 f. Tese (Doutorado em Engenharia Mecânica) - Universidade Federal de Uberlândia, Uberlândia, 2020. DOI http://doi.org/10.14393/ufu.te.2020.645 https://repositorio.ufu.br/handle/123456789/30470 http://doi.org/10.14393/ufu.te.2020.645 |
identifier_str_mv |
FONSECA JÚNIOR, Lázaro Antônio da. Modelagem numérico-computacional de vigas sanduiches viscoelásticas sujeitas a grandes deslocamentos na presença de incertezas paramétricas. 2020. 126 f. Tese (Doutorado em Engenharia Mecânica) - Universidade Federal de Uberlândia, Uberlândia, 2020. DOI http://doi.org/10.14393/ufu.te.2020.645 |
url |
https://repositorio.ufu.br/handle/123456789/30470 http://doi.org/10.14393/ufu.te.2020.645 |
dc.language.iso.fl_str_mv |
por |
language |
por |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Universidade Federal de Uberlândia Brasil Programa de Pós-graduação em Engenharia Mecânica |
publisher.none.fl_str_mv |
Universidade Federal de Uberlândia Brasil Programa de Pós-graduação em Engenharia Mecânica |
dc.source.none.fl_str_mv |
reponame:Repositório Institucional da UFU instname:Universidade Federal de Uberlândia (UFU) instacron:UFU |
instname_str |
Universidade Federal de Uberlândia (UFU) |
instacron_str |
UFU |
institution |
UFU |
reponame_str |
Repositório Institucional da UFU |
collection |
Repositório Institucional da UFU |
repository.name.fl_str_mv |
Repositório Institucional da UFU - Universidade Federal de Uberlândia (UFU) |
repository.mail.fl_str_mv |
diinf@dirbi.ufu.br |
_version_ |
1805569719924686848 |