不连续岩石梁的失稳解析

Analysis on the buckling of cracked roof beam

本文根据不连续岩石梁的物理力学特性提出了无拉力岩石梁的力学解析模型。根据Ｆｒｅｂｏｄｙ法以及Ｃａｓｔｉｇｌｉａｎｏ定理导出了不连续梁各物理量的求解方程式。进而采用挠度增量δｉ＋１ｍａｘ＝δｉｍａｘ＋Δδ的逐次解析方法，求解了不连续梁的失稳问题。得出了与Ｆ．Ｄ．Ｗｒｉｇｈｔ的试验值相吻合的结果。探讨了不连续岩石梁在不同荷载条件下的失稳特性。

A no tension rock beam model has been presented according to the mechanical behaviors of cracked roof beam in this paper. And the equations have been observed for the problems of the beam by means of the free body method and Castigliano principle. And then, the solutions that fit in with F.D.Wrights experiments have been observed by iteration calculating method expressed as  i+1 max = i max +Δ . In addition, the influence of load on the buckling of beam has been investigated under the various load conditions.