非等高双重弯剪型抗侧力体系的稳定性

THE STABILITY OF THE DUAL FLEXURAL-SHEAR SUBSTRUCTURE SYSTEM WITH DIFFERENT HEIGHTS

  • 摘要: 研究了非等高的双重弯剪型抗侧力体系的稳定性。首先,建立了非等高双重弯剪型抗侧力体系的连续化分析模型,提出了该结构体系的屈曲方程及稳定临界荷载解析解。其次,通过分析结构体系的上下两部分存在相互支援作用,给出了求解该结构体系稳定临界荷载的近似公式,通过算例对比,发现与解析解相比,近似解具有很好的精度;同时,近似法便于实际应用。最后,分析了随着内部两子结构相对高度的变化,相应的非等高双重抗侧力体系总的临界荷载发生变化的规律。研究发现,并非当两子结构高度相等时,总的临界荷载取到最大值,而是存在最优相对高度的概念,即当内部两子结构的相对高度为最优相对高度时,结构总的临界荷载最大。

     

    Abstract: The stability of the dual flexural-shear substructure system with different heights has been studied. First, the analytical continuum model is established, and the buckling equation of the dual system is derived, and the analytical solution for the critical load of the dual system is proposed. According to the interaction between the upper and lower parts of the dual system, the approximate formula for the critical load has been given. Comparing with the analytical solution, the approximate one not only has good accuracy but also is much easier to be applied. According to the research, we found that with the relative heights of two substructures varying, the total critical loads of the dual systems will change accordingly. And when in the case the relative height reaches the optimum relative height, which is not equal to 1, and the total critical loads will get the maximum value.

     

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