Your browser doesn't support javascript.
loading
Studying the nonlinear response of incompressible hyperelastic thin circular cylindrical shells with geometric imperfections.
Arani, Morteza Shayan; Bakhtiari, Mehrdad; Toorani, Mohammad; Lakis, Aouni A.
Afiliación
  • Arani MS; Mechanical Engineering Department, Polytechnique de Montréal, C.P. 6079, Succ. Centre-ville, Montréal, Québec, H3C 3A7, Canada. Electronic address: morteza.shayan-arani@polymtl.ca.
  • Bakhtiari M; Mechanical Engineering Department, Polytechnique de Montréal, C.P. 6079, Succ. Centre-ville, Montréal, Québec, H3C 3A7, Canada. Electronic address: mehrdad@polymtl.ca.
  • Toorani M; Mechanical Engineering Department, Polytechnique de Montréal, C.P. 6079, Succ. Centre-ville, Montréal, Québec, H3C 3A7, Canada. Electronic address: Mtoorani@conestogac.on.ca.
  • Lakis AA; Mechanical Engineering Department, Polytechnique de Montréal, C.P. 6079, Succ. Centre-ville, Montréal, Québec, H3C 3A7, Canada. Electronic address: aouni.lakis@polymtl.ca.
J Mech Behav Biomed Mater ; 155: 106562, 2024 Jul.
Article en En | MEDLINE | ID: mdl-38678749
ABSTRACT
This study presents a comprehensive analysis of hyperelastic thin cylindrical shells exhibiting initial geometrical imperfections. The nonlinear equations of motion are derived using an improved formulation of Donnell's nonlinear shallow-shell theory and Lagrange's equations, incorporating the small strain hypothesis. Mooney-Rivlin constitutive model is employed to capture the hyperelastic behavior of the material. The coupled nonlinear equations of motion are analytically solved using Multiple-Scale method, which effectively accounts for the inherent nonlinearity of the system. To ensure the model's accuracy, the linear model is verified by comparing the results with those obtained through hybrid finite element method. Subsequently, the model with only geometrical nonlinearity is evaluated against other research works existing in the open literature to ensure its reliability and precision. Finally, the results of the model, considering both geometrical and physical nonlinearity, are verified against the results obtained from Abaqus software. The main objective of this research is to provide a detailed understanding of the response of hyperelastic thin cylindrical shells in the presence of initial geometric imperfections. In this order, the impact of three distinct geometric imperfections - axisymmetric, asymmetric, and a combination of driven and companion modes - on the natural frequency is examined. The behavior of each of these geometric imperfections is investigated by varying their respective coefficients. The numerical results indicate that geometric imperfections enhance the natural frequency, and employing different models for imperfections leads to a variation in this trend. In the amplitude response of hyperelastic cylindrical shells, two peaks coexist, reflecting the softening and hardening responses of the system. Distinct initial geometric imperfections influence these two peaks.
Asunto(s)
Palabras clave
Texto completo
Añadir a Mi BVS
Imprimir
XML
PubMed Links
Buscar en Google

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Asunto principal: Dinámicas no Lineales / Análisis de Elementos Finitos / Elasticidad Idioma: En Revista: J Mech Behav Biomed Mater Asunto de la revista: ENGENHARIA BIOMEDICA Año: 2024 Tipo del documento: Article Pais de publicación: Países Bajos
Texto completo
Añadir a Mi BVS
Imprimir
XML
PubMed Links
Buscar en Google

Texto completo: 1 Colección: 01-internacional Base de datos: MEDLINE Asunto principal: Dinámicas no Lineales / Análisis de Elementos Finitos / Elasticidad Idioma: En Revista: J Mech Behav Biomed Mater Asunto de la revista: ENGENHARIA BIOMEDICA Año: 2024 Tipo del documento: Article Pais de publicación: Países Bajos