AI SearchLarge displacement analysis of plane curved members by mixed finite element method
Call Number: AIT Thesis no.ST-83-03 Material type:
TextSeries: Asian Institute of Technology. Thesis ; no. ST-83-03Publication details: Bangkok : Asian Institute of Technology, 1983Description: vii, 57 pSubject(s): Online resources: Dissertation note: Thesis (M.Eng.) - Asian Institute of Technology, 1983 Summary: In this study, a mixed curved beam finite element approach is used to derive the formulations for large displacement analysis of thin walled curved members. Newton-Raphson iteration technique with total Lagrangian approach is used to solve the equations which are obtained using the incremental form of the Reissner variational principle. Shear terms are neglected in the formulation. The fundamental unknowns consist of six internal forces and displacements which contribute seven degrees of freedom. The polynomial interpolation functions used in stress resultants are discontinuous while displacements are continuous at the inter element boundaries. Numerical examples are presented to show the validity of the solutions obtained by the mixed finite element method.
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A thesis submitted in partial fulfillment of the requirement for the degree of Master of Engineering, School of Engineering and Technology
Thesis (M.Eng.) - Asian Institute of Technology, 1983
In this study, a mixed curved beam finite element approach is used to derive the formulations for large displacement analysis of thin walled curved members. Newton-Raphson iteration technique with total Lagrangian approach is used to solve the equations which are obtained using the incremental form of the Reissner variational principle. Shear terms are neglected in the formulation. The fundamental unknowns consist of six internal forces and displacements which contribute seven degrees of freedom. The polynomial interpolation functions used in stress resultants are discontinuous while displacements are continuous at the inter element boundaries. Numerical examples are presented to show the validity of the solutions obtained by the mixed finite element method.
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