TORSIONAL CENTER OF BEAMS OF ARBITRARY COMPLEX CROSS-SECTION 1) |
| |
Authors: | LU Xiaoming CAO Hai GONG Yaoqing |
| |
Institution: | Zhengzhou Institute of Science & Technology, Zhengzhou 450000, China;Modern Bridge Institute of Structures Technology, Huanghe S & T University, Zhengzhou 450063, China |
| |
Abstract: | In order to determine the position of the torsional center of a beam of arbitrary complex non-circular section, the shape of all the out-of-plane deformation of the beam of non-circular section caused by non-uniform torsion is expressed by the nodal-line method as a family of surfaces containing unknown functions of the nodal lines. After establishing the governing equations of the beam caused by its non-uniform torsion, the numerical solutions of these unknown functions are obtained by using an ODE (ordinary differential equation) solver for a torque and a transverse load separately. Finally, the position of the torsional center of the beam of a complex cross section is derived by using the principle of stiffness equivalence. The computational results of examples show that the method is reliable for computing the torsional center position of a beam of arbitrary complex non-circular section. |
| |
Keywords: | arbitrarily complex cross-sectional beams torsional center nodal-line method non-uniform torsion special-shaped columns |
|
| 点击此处可从《力学与实践》浏览原始摘要信息 |
| 点击此处可从《力学与实践》下载免费的PDF全文 |
|