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本文通过数值模拟及摄动分析,对平面形状为矩形(简称小包方案)及平面形状为曲边梯形(简称大包方案)的两种盲肠河段的水位波动进行了研究。结果表明,无论是小包方案还是大包方案,当口门处波源的波动周期与盲肠河段的固有周期相近时,都会发生共振现象。某大型水利枢纽上引航道的两种不同布置方案数值计算结果比较表明,在不同口门水位波动幅度及周期条件下,小包方案的水位波动幅度均较大包方案大,特别是盲肠河段内的水位波动发生共振时,大包方案的水位波动幅度远较小包方案的小,说明大包方案对削减盲肠河段内的水位波动及改善船舶的航行及停泊条件是非常有效的。摄动分析结果表明,在盲肠河段的长度与水深相同的条件下,发生共振时,大包方案的共振周期较小包方案长。大包方案的水位波动具有随离开口门的距离而减小的特性,而小包方案的水位波动则不随离口门的距离而变。
In this paper, by numerical simulation and perturbation analysis, the water level fluctuation of two kinds of cecum reachs are studied, which are rectangular (the package plan) and curved side trapezoid (short package plan). The results show that both the parcel scheme and the big package scheme resonate when the fluctuation period of the wave source at the mouth is similar to the eigenvalue of the cecum segment. The comparison of the numerical results of two different layout schemes for a large water control project shows that the fluctuating amplitude of the package plan is larger than that of the package plan, especially in the cecum section When the water level fluctuates, the fluctuation of the water level of the bale scheme is much smaller than that of the small bale scheme. This shows that the bale scheme is very effective for reducing the water level fluctuation in the cecal river section and improving the navigation and parking conditions of the ship. The results of perturbation analysis show that under the condition of the same length and depth of the cecum, the resonance period of the bale scheme is longer than that of the bale scheme. The water level fluctuations of the bale scheme have the characteristic of decreasing with the distance from the door, while the water level of the parcel scheme does not change with the distance of the door.