在杆件的使用寿命中，后期屈曲阶段是不可避免的吗？
Is the late buckling stage inevitable in the bar life?
摘要：
通过自洽数值模拟，我们研究了经典凸起对杆的二次屈曲增长的动力学影响。总体而言，我们考虑了14种具有不同椎间盘和凸起参数的模型。我们得到一个相当适度的质量$B/D=0.1$的隆起导致杆的完全对称演化几乎与初始星盘参数无关，甚至可以阻尼第一弯曲。同时，在我们所有的无凸起模型中，杆件都遭受短的一次屈曲和长时间的二次屈曲。考虑到抑制二次屈曲的质量很小，我们得出结论，一个经典的凸起以及气体中心浓度可能是局部宇宙中罕见的持续屈曲的主要原因。
英文摘要：
By means of self-consistent numerical simulations we investigated the dynamical impact of classical bulges on the growth of the secondary buckling of a bar. Overall we considered 14 models with different disc and bulge parameters. We obtained that a bulge with a quite modest mass $B/D=0.1$ leads to completely symmetrical evolution of the bar almost independently of the initial stellar disc parameters and even can damp the first bending. At the same time, the bars in all our bulgeless models suffer from the short primary and prolonged secondary buckling. Given the smallness of the mass suppressing secondary buckling, we conclude that a classical bulge along with the gas central concentration may be the main culprits for the rarity of bars with ongoing buckling in the local Universe.
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