Postbuckling analysis and imperfection sensitivity of general shells by the finite element method |
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| Institution: | 1. Heart Failure and Inherited Cardiac Diseases Unit, Department of Cardiology, Hospital Universitario Puerta de Hierro, Madrid, Spain;2. CIBER in Cardiovascular Diseases, Madrid, Spain;3. Inherited Cardiac Diseases Unit, Department of Cardiology, Hospital General Universitario, Alicante, Spain;4. Inherited Cardiac Diseases Unit, Department of Cardiology, Hospital Universitario y Politécnico La Fe, Valencia, Spain;5. Inherited Cardiac Diseases Unit, Department of Cardiology, Hospital Son Llatzer, Majorca, Spain;6. Inherited Cardiac Diseases Unit, Department of Cardiology, Hospital Universitari Bellvitge, Barcelona, Spain;7. Genetics Department, Universidad Autónoma de Barcelona, Barcelona, Spain;8. Heart Failure and Inherited Cardiac Diseases Unit, Department of Cardiology, Hospital Universitario Virgen de la Victoria, IBIMA, Málaga, Spain;9. Centre for Inherited Cardiovascular Diseases, Department of Cardiology, Biomedicine Institute of Seville (IBiS), Hospital Universitario Virgen del Rocío, Seville, Spain;10. Fundación Novoa Santos, Instituto de Investigación Biomédica de A Coruña (INIBIC), A Coruña, Spain;11. Inherited Cardiac Diseases Unit, Department of Cardiology, Complexo Hospitalario Universitario de A Coruña, Servizo Galego de Saúde (SERGAS), Universidade da Coruña, A Coruña, Spain;12. Inherited Cardiac Diseases Unit, Department of Cardiology, Hospital Universitario Virgen de la Arrixaca, Murcia, Spain;13. Myocardial Biology Programme, Centro Nacional de Investigaciones Cardiovasculares (CNIC), Madrid, Spain;14. Facultad de Ciencias de la Salud, Universidad Francisco de Vitoria, UFV, Edificio E, Ctra, M-515 Pozuelo-Majadahonda Km 1,800, 28223, Pozuelo de Alarcón, Madrid, Spain |
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| Abstract: | Buckling and imperfection sensitivity are the primary considerations in analysis and design of thin shell structures. The objective here is to develop accurate and efficient capabilities to predict the postbuckling behavior of shells, including imperfection sensitivity. The approach used is based on the Lyapunov–Schmidt–Koiter (LSK) decomposition and asymptotic expansion in conjunction with the finite element method. This LSK formulation for shells is derived and implemented in a finite element code. The method is applied to cylindrical and spherical shells. Cases of linear and nonlinear prebuckling behavior, coincident as well as non-coincident buckling modes, and modal interactions are studied. The results from the asymptotic analysis are compared to exact solutions obtained by numerically tracking the bifurcated equilibrium branches. The accuracy of the LSK asymptotic technique, its range of validity, and its limitations are illustrated. |
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