关键词: 边坡整体稳定性, 随机曲线, 条分法, 简化Janbu法, 安全系数, 最危险滑动面

Abstract:

For general stability analysis of slopes, a new method that can search for random sliding surface is found by using a series of random angles. In this process, simplified Janbu method is used to calculate the safety of factor. The process of this new method creating random sliding surface is as follows: firstly the intersection point of upper edge and lower edge of slope and sliding surface have been identified; then in the case of some initial direction, every angle direction randomly generated with intersection of the lower edge as base point is made to intersect with corresponding vertical line of divided slices of sliding body until random angle direction arrived connection direction of intersection point of upper edge and lower edge of slope; at the end, a random curve, or called random sliding surface, is obtained by connecting these intersections successively. Through simulating curves randomly, it is found that random angles have a clear physical meaning and two unique advantages as follows. First, it has only one random condition, so random factors are easily controlled; and computer programming is also convenient. Second, if random angles are appropriately optimized, it can ensure that the random curve is a smooth curve; and we can also get all shape curves when there are enough slices. At the same time, as non-high accuracy of random search in the past, this article takes improved method that approximate curves replace random curves, and generation of approximate curves is also simplified. Through comparison and analysis of a series of examples of slopes, it is concluded that factor of safety calculated by this method is quite close with research results; and the critical sliding surface derived from this method is identical with real situation; so it is shown that this method can be used in the general stability analysis of slopes.

Key words: general stability analysis of slope, random curve, slices method, simplified Janbu method, factor of safety, critical sliding surface