影响散粒体斜坡稳定性的诸多因素中，外部因素起到诱导作用，内部因素则起到主导作用，其中天然休止角对散粒体斜坡的稳定性起到控制作用。故配制4种不同级配样品(1＜Cu≤7)，模型架上模拟散粒体的堆积失稳过程表明休止角的大小随颗粒不均匀系数的增大而增大;休止角的大小随浑圆度的增大有增大的趋势，浑圆度为1.14～1.40，休止角的增长速率较低，浑圆度达到1.40以后增长速率较高;休止角的大小随m值增大先增大后减小，而后趋于稳定;休止角整体上随c，φ的增大而增大，但在起初阶段变化较为缓慢。最后运用多元线性回归理论线性拟合以上5种内部因素，建立散粒体斜坡天然休止角的估算模型，通过验证证明了该模型的准确性。
Abstract
Among factors which affect the stability of granular mixtures slope, external factors play an inducing role while internal factors dominate, but the natural angle of repose of the slope plays a controlling role. In view of this, granular mixture materials of four different compositions (1＜Cu≤7) were prepared and model test was conducted to simulate the instability of granular mixtures slope caused by heap. Results indicate that 1) the angle of repose increased with the increase of non-uniform degree of particle; 2) with the increase of round degree, the angle of repose also tended to increase, but the growth rate was low when round degree was between 1.14-1.40, and higher when greater than 1.40; 3) along with the increase of m, the angle of repose increased at first and then reduced, and finally gradually stabilized; 4) the angle of repose increased with the increase of c and φ in general, but the change was slow in the initial stage. Finally, formula of estimating the natural angle of repose of granular mixture slope was established by fitting the five factors using linear regression theory, and was verified to be correct.
关键词
散粒体斜坡 /
多元线性回归理论 /
休止角 /
影响因素 /
估算模型
Key words
granular mixtures slope /
multiple linear regression theory /
angle of repose /
influence factor /
estimation formula
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基金
国家自然科学基金资助项目(41072228)
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