FORCES, MOMENTS, ROTATIONS, AND DISPLACEMENTS OF POLYNOMIAL-SHAPED CURVED BEAMS

作者: LAZARO GIMENA , PEDRO GONZAGA , FAUSTINO GIMENA

DOI: 10.1142/S0219455410003336

关键词:

摘要: This paper deals with curved beams polynomial free geometry. The problem is approached analytically and the differential equations that govern mechanical behavior of are presented. A system twelve linear ordinary solved using either an analytical or a customized numerical method boundary conditions. Results different components forces, moments, rotations, displacements given plotted in examples for polynomial-shaped fourth degree. It concluded from present analyses parabolic shape has better response to distributed loads than other considered.

参考文章(36)
AMIR MIRMIRAN, AMDE M. AMDE, ZEFANG XU, EFFECT OF GEOMETRIC AND LOADING CONDITIONS ON STABILITY OF PRESTRESSED ARCHES International Journal of Structural Stability and Dynamics. ,vol. 01, pp. 509- 526 ,(2001) , 10.1142/S0219455401000329
Z. Friedman, J. B. Kosmatka, An accurate two-node finite element for shear deformable curved beams International Journal for Numerical Methods in Engineering. ,vol. 41, pp. 473- 498 ,(1998) , 10.1002/(SICI)1097-0207(19980215)41:3<473::AID-NME294>3.0.CO;2-Q
B. Tabarrok, M. Farshad, H. Yi, Finite element formulation of spatially curved and twisted rods Applied Mechanics and Engineering. ,vol. 70, pp. 275- 299 ,(1988) , 10.1016/0045-7825(88)90021-7
Justı́n Murı́n, Vladimı́r Kutiš, None, 3D-beam element with continuous variation of the cross-sectional area Computers & Structures. ,vol. 80, pp. 329- 338 ,(2002) , 10.1016/S0045-7949(01)00173-0
Yeong‐Bin Yang, Shyh‐Rong Kuo, Yunn‐Dar Cherng, Curved Beam Elements for Nonlinear Analysis Journal of Engineering Mechanics-asce. ,vol. 115, pp. 840- 855 ,(1989) , 10.1061/(ASCE)0733-9399(1989)115:4(840)
HWA-PING LEE, Generalized stiffness matrix of a curved-beam element AIAA Journal. ,vol. 7, pp. 2043- 2045 ,(1969) , 10.2514/3.5513
F.N. Gimena, P. Gonzaga, L. Gimena, Numerical transfer-method with boundary conditions for arbitrary curved beam elements Engineering Analysis with Boundary Elements. ,vol. 33, pp. 249- 257 ,(2009) , 10.1016/J.ENGANABOUND.2008.04.004
A.F. Saleeb, T.Y. Chang, On the hybrid-mixed formulation of C 0 curved beam elements Applied Mechanics and Engineering. ,vol. 60, pp. 95- 121 ,(1987) , 10.1016/0045-7825(87)90131-9
Aimin Yu, Mingxia Fang, Xing Ma, Theoretical research on naturally curved and twisted beams under complicated loads Computers & Structures. ,vol. 80, pp. 2529- 2536 ,(2002) , 10.1016/S0045-7949(02)00329-2
Antonio Salvatore Petrolo, Raffaele Casciaro, 3D beam element based on Saint Venànt’s rod theory Computers & Structures. ,vol. 82, pp. 2471- 2481 ,(2004) , 10.1016/J.COMPSTRUC.2004.07.004