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This and the next image are from:
Wenxiong Li (1), Haitao Ma (2,3) and Wei Gao (4)
(1) College of Water Conservancy and Civil Engineering, South China Agricultural University, Guangzhou 510642, China
(2) Earthquake Engineering Research and Test Center, Guangzhou University, Guangzhou 510405, China
(3) State Key Laboratory of Subtropical Building Science, South China University of Technology, Guangzhou 510640, China
(4) School of Civil and Environmental Engineering, The University of New South Wales, NSW 2052, Sydney, Australia
“Geometrically exact curved beam element using internal force field defined in deformed configuration”, International Journal of Non-Linear Mechanics, Vol. 89, pp 116-126, March 2017, DOI: 10.1016/j.ijnonlinmec.2016.12.008
ABSTRACT: This paper presents a study on the development of high-performance finite elements for geometrically nonlinear analysis of frame structures with curved members. Based on the geometrically exact beam theory, a highly efficient and accurate mixed finite element is developed. A new approach is proposed for constructing the independent internal force field by including major terms satisfying equilibrium conditions in the deformed configuration. An element-level equilibrium iteration procedure is employed for the condensation of element internal degrees of freedom during the nonlinear solution. Numerical results are presented to demonstrate the excellent performance of the element developed, and it is shown that even when each structural member is modelled with just one element, accurate solutions can still be achieved.
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