AI SearchLarge displacement analysis of plane curved members by mixed finite element method
Fernando, Viraj Malsiri
Large displacement analysis of plane curved members by mixed finite element method - Bangkok : Asian Institute of Technology, 1983 - vii, 57 p. - Thesis ; no. ST-83-03 . - Asian Institute of Technology. Thesis ; no. ST-83-03 .
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.
Girders
Finite element method
Large displacement analysis of plane curved members by mixed finite element method - Bangkok : Asian Institute of Technology, 1983 - vii, 57 p. - Thesis ; no. ST-83-03 . - Asian Institute of Technology. Thesis ; no. ST-83-03 .
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.
Girders
Finite element method