- ISSN 0258-2724
- CN 51-1277/U
- EI Compendex
- Scopus
- Indexed by Core Journals of China, Chinese S&T Journal Citation Reports
- Chinese S&T Journal Citation Reports
- Chinese Science Citation Database
| Citation: | HU Changfu, ZHU Shunshun, LV Jiabiao. Complex Nonlinear Behavior of Parabolic Two-Hinged Arches Subjected to a Midspan Concentrated Force[J]. Journal of Southwest Jiaotong University. doi: 10.3969/j.issn.0258-2724.20240363
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To investigate the complex nonlinear behavior of parabolic two-hinged arches subjected to a midspan concentrated force, a theoretical method was proposed to reveal its rule. Based on the nonlinear strain–displacement relationship of arches in the Cartesian right-angled coordinate system, nonlinear equilibrium differential equations of parabolic two-hinged arches subjected to a midspan concentrated force were derived, as well as the corresponding high-precision approximate analytical solutions of these nonlinear equations. The common rules of complex nonlinear behavior of parabolic two-hinged arches subjected to a midspan concentrated force were investigated by the limitation analysis of these high-precision approximate analytical solutions in discontinuous points: 1) If and only if the modified slenderness ratio is greater than or equal to the limit-pattern critical slenderness ratio, limit-pattern nonlinear behavior occurs in parabolic two-hinged arches subjected to a midspan concentrated force. Moreover, multiple extreme points appear on the limit-pattern nonlinear equilibrium path, and the number of extreme points is positively correlated with the parameter
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