期刊文献+
共找到3篇文章
< 1 >
每页显示 20 50 100
SOLUTION OF GENERALIZED COORDINATE FOR WARPING FOR NATURALLY CURVED AND TWISTED BEAMS 被引量:1
1
作者 虞爱民 易明 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2004年第10期1166-1175,共10页
A theoretical method for static analysis of naturally curved and twisted beams under complicated loads was presented, with special attention devoted to the solving process of governing equations which take into accoun... A theoretical method for static analysis of naturally curved and twisted beams under complicated loads was presented, with special attention devoted to the solving process of governing equations which take into account the effects of torsion-related warping as well as transverse shear deformations. These governing equations, in special cases, can be readily solved and yield the solutions to the problem. The solutions can be used for the analysis of the beams, including the calculation of various internal forces, stresses, strains and displacements. The present theory will be used to investigate the stresses and displacements of a plane curved beam subjected to the action of horizontal and vertical distributed loads. The numerical results obtained by the present theory are found to be in very good agreement with the results of the FEM results. Besides, the present theory is not limited to the beams with a double symmetric cross-section, it can also be extended to those with arbitrary cross-sectional shape. 展开更多
关键词 naturally curved and twisted beam St. Venant torsional warping function generalized coordinate for warping the minimum potential energy principal variational equation
下载PDF
Analysis of bending and buckling of pre-twisted beams:A bioinspired study 被引量:6
2
作者 Zi-Long Zhao Hong-Ping Zhao +1 位作者 Zheng Chang Xi-Qiao Feng 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2014年第4期507-515,共9页
Twisting chirality is widely observed in artificial and natural materials and structures at different length scales. In this paper, we theoretically investigate the effect of twisting chiral morphology on the mechanic... Twisting chirality is widely observed in artificial and natural materials and structures at different length scales. In this paper, we theoretically investigate the effect of twisting chiral morphology on the mechanical properties of elas- tic beams by using the Timoshenko beam model. Particular attention is paid to the transverse bending and axial buckling of a pre-twisted rectangular beam. The analytical solution is first derived for the deflection of a clamped-free beam under a uniformly or periodically distributed transverse force. The critical buckling condition of the beam subjected to its self- weight and an axial compressive force is further solved. The results show that the twisting morphology can significantly improve the resistance of beams to both transverse bending and axial buckling. This study helps understand some phenomena associated with twisting chirality in nature and provides inspirations for the design of novel devices and structures. 展开更多
关键词 Twisting chirality. Timoshenko beam. Bending.Euler buckling · Bionics
下载PDF
Shear deformable finite beam elements for composite box beams 被引量:2
3
作者 Nam-Il Kim Dong-Ho Choi 《Acta Mechanica Sinica》 SCIE EI CAS CSCD 2014年第2期223-240,共18页
The shear deformable thin-walled composite beams with closed cross-sections have been developed for coupled flexural, torsional, and buckling analyses. A theoretical model applicable to the thin-walled laminated compo... The shear deformable thin-walled composite beams with closed cross-sections have been developed for coupled flexural, torsional, and buckling analyses. A theoretical model applicable to the thin-walled laminated composite box beams is presented by taking into account all the structural couplings coming from the material anisotropy and the shear deformation effects. The current composite beam includes the transverse shear and the restrained warping induced shear deformation by using the first-order shear deformation beam theory. Seven governing equations are derived for the coupled axial-flexural-torsional-shearing buckling based on the principle of minimum total potential energy. Based on the present analytical model, three different types of finite composite beam elements, namely, linear, quadratic and cubic elements are developed to analyze the flexural, torsional, and buckling problems. In order to demonstrate the accuracy and superiority of the beam theory and the finite beam elements developed by this study,numerical solutions are presented and compared with the results obtained by other researchers and the detailed threedimensional analysis results using the shell elements of ABAQUS. Especially, the influences of the modulus ratio and the simplified assumptions in stress-strain relations on the deflection, twisting angle, and critical buckling loads of composite box beams are investigated. 展开更多
关键词 Thin-walled Composite box beam Deflection Twisting angle Buckling load Shear deformation
下载PDF
上一页 1 下一页 到第
使用帮助 返回顶部