AN INTRINSIC BEAM MODEL-BASED ON A HELICOIDAL APPROXIMATION .2. LINEARIZATION AND FINITE-ELEMENT IMPLEMENTATION

被引:25
作者
BORRI, M
BOTTASSO, C
机构
[1] Dipartimento di Ingegneria Aerospaziale, Politecnico di Milano, Milano, 20133
关键词
Beams and girders - Finite element method - Linearization;
D O I
10.1002/nme.1620371309
中图分类号
T [工业技术];
学科分类号
08 ;
摘要
The helicoidal beam model developed in the first part of this work is applied here to the development of a mixed finite element for space-curved and twisted beams undergoing large displacements and finite rotations. Starting from the governing weak form expressed by the principle of virtual work, a consistent linearization is obtained in the following and a novel updated Lagrangian finite element implementation is thoroughly discussed. The unique features and the distinguishing properties previously claimed for the helicoidal model are shown here to imply remarkable numerical consequences. For this purpose, meaningful example problems regarding the non-linear static response of beams are addressed in the following and the results are compared with those available from the literature. Furthermore, a finite element in time for the rigid body dynamic problem is developed within the framework of the helicoidal geometry. The underlying philosophy of this novel finite element for dynamics is the realization of the helicoidal decomposition of the rigid body motion within a time step.
引用
收藏
页码:2291 / 2309
页数:19
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