Rapid Stress Analytical Solutions of Steel Strips Subjected to Non-uniform Tensile Loads Based on New Symplectic Method
- PDF / 1,372,603 Bytes
- 10 Pages / 595.276 x 790.866 pts Page_size
- 7 Downloads / 209 Views
International Journal of Steel Structures https://doi.org/10.1007/s13296-020-00394-6
Rapid Stress Analytical Solutions of Steel Strips Subjected to Non‑uniform Tensile Loads Based on New Symplectic Method Haijun Yu1 · Anrui He1 · Wenquan Sun1 · Chihuan Yao1 · Chao Liu1 Received: 23 August 2019 / Accepted: 26 August 2020 © Korean Society of Steel Construction 2020
Abstract This paper deals with the stress distribution problem of steel strips subjected to non-uniform tensile loads at both ends, which induce the transverse in-plane compressive stress and is important for researching the transverse buckling of the steel strip. For stress distribution problem, the traditional finite element method (FEM) has acceptable accuracy while it takes too long computing time to be applied to on-site production and the semi-inverse analytical method needs to preset the form of stress solution and gets the solution with a certain error. Thence, a rapid symplectic analytical method for solving stress distribution problem of steel strips is presented, which is based on the Hamiltonian system unlike other traditional method based on the Lagrangian system. Furthermore, the rational and rigorous derivation without any forecast about the form of solution makes the stress result have high precision with short computing time. Finally, the symplectic method is demonstrated be more efficient and suitable in the on-line calculation by comparing with FEM. Keywords Steel strips · Non-uniform tensile loads · Symplectic method · Stress solutions
1 Introduction The solution of stress distribution is an important part of solving buckling which is a typical failure mode, such as the transverse buckling of steel strip in the continuous annealing line (CAPL). For the thin plate structure, researchers mainly study the stress distribution and buckling behavior under compressive loads, while for a steel strip in the CAPL, both ends of the strip were subjected to non-uniform tensile loads. The non-uniform tensile loads will induce the transverse in-plane compressive stress and then cause the * Wenquan Sun [email protected] Haijun Yu [email protected] Anrui He [email protected] Chihuan Yao [email protected] Chao Liu [email protected] 1
National Engineering Research Center for Advanced Rolling Technology, University of Science and Technology Beijing, Beijing 100083, China
transverse buckling, which has a big difference from the former. Due to the buckling complexity of a strip subjected to non-uniform tensile loads, in this paper, the stress distribution solution of a strip subjected to uneven tensile loads is solved firstly, which is an important part in the study of buckling (Timoshenko and Woinowsky-Krieger 1959). As can be seen from the literature available, the stress distribution and buckling of thin plate structure subjected to compressive loads had been studied by many scholars. Dawe (1969) applied the discrete element method to get the solution of rectangular plate under linearly varying edge loads. Benoy (1969) researched the solution of
Data Loading...
