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- Title
离散侧向平移支撑圆弧拱的 自由振动分析.
- Authors
陈隆凯; 蔡勇; 吕晓勇; 谢金
- Abstract
Discrete lateral translational braces are commonly employed to enhance the out-of-plane stability of arches, while it will cause the coupling effect of the vibration modes, which significantly affects the vibration characteristics of arches. To investigate the effects of equally-spaced discrete lateral translational braces on the free vibration of two-hinged circular arches, the coupling vibration modes were assumed. Based on Hamilton’s principle, the natural frequencies of the arches with lateral translational braces were carried out. Compared with the results from the finite element method, the analytical solutions of natural frequency of braced arches were reasonably accurate. Moreover, the effects of out-of-plane slenderness, subtended angle and number and position of braces on the threshold bracing stiffness and maximum fundamental frequency were also explored. The main conclusions are drawn as follows. The assumed coupling vibration mode can describe the complex flexuraltorsional vibration mode shapes of arches with translational braces and can provide an accurate prediction about the natural frequency of the arches and threshold bracing stiffness. The fundamental frequency of the arches with lateral translational braces exhibits multiple increasing modes with increasing bracing stiffness, categorized into the first, transitional, and second increasing mode based on mode shape changes, with the conversion between different increasing modes depending on out-of-plane slenderness, subtended angle of the arch, number of braces and bracing position. The threshold stiffness and maximum fundamental frequencies of the arches with lateral translational braces significantly increase when the out-of-plane slenderness and subtended angle of the arches near the boundary between the first and other type of increasing modes. When bracing position is close to the two flanges, it may alter the fundamental vibration mode of the arch. However, when the braces are positioned near the shear center, the fundamental frequency of the arch is maximized. When the arch is in the first increasing mode, increasing the number of braces significantly improves the maximum fundamental frequency of the arch. In the transitional increasing mode, the effect of increasing the number of braces on the maximum fundamental frequency is weakened. In the second increasing mode, the maximum fundamental frequency of the arch basically remains unchanged as the number of braces increases.
- Publication
Journal of Railway Science & Engineering, 2024, Vol 21, Issue 1, p275
- ISSN
1672-7029
- Publication type
Article
- DOI
10.19713/j.cnki.43-1423/u.T20230227