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从准地转正压涡度方程出发，在ｋ１＋ｋ２＋ｋ３＝△ｋ、ｌ１＋ｌ２＋ｌ３＝０和ω１＋ω２＋ω３＝０的准共振条件下，分析了准共振三波能量和位涡拟能的传输。当△ｋ很小时，准共振三波组的总能量和总拟能近似守恒；三波之间能量和拟能的传输方向与共振情况基本相同，但中波向长波传输较多能量、向短波传输较多拟能和三波之间产生能量与拟能传输这三者的可能非线性准共振的面积与共振时相比均有较大的变化，而三者的面积比也有较明 相似文献
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QUASI-RESONANCE OF BAROCLINIC ATMOSPHERIC WAVES AND EXTRATROPICAL LOW-FREQUENCY OSCILLATION* 
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下载免费PDF全文 Lu Weisong 《Acta Meteorologica Sinica》1993,7(4):442-453
In operating the quasi-geostrophic two-layer model,the quasi-resonance occurs possibly in two cases:(1)pure barotropic waves;(2) two baroclinic and one barotropic waves.For case (2),we find the analytical solution of triad amplitude of quasi-resonance and approximate expression for the period of wave energy variation.Both the approximate expression and numerical calculation indicate that this period tends to approach the period (2πε)/(△ω) of the quasi-resonance frequency mismatch △ω itself for the baroclinic atmosphere than for the barotropic atmosphere.Physically,there is a feedback mechanism between the wave phase and amplitude,and the slowly varying phase difference between the barotropic wave and the baroclinic wave causes the conversion of kinetic energy and available potential energy,which gives rise to the wave-related low-frequency oscillation alternatively strengthening and weakening with the oscillation period identical to the above approximate formula.For △ω～(0.1-0.02) 0(ωj),the averaged energy period is 12-43 days and when △ω=0,it is 366 days.Therefore,the occurrence of frequency mismatch △ω is probably a new important mechanism for the formation of extratropical low-frequency oscillation in baroclinic atmosphere as well. 相似文献
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THE EFFECTS OF VERTICAL VARIATION OF BASIC FLOW AND HORIZONTAL GRADIENT OF TEMPERATURE ON LINEAR AND NONLINEAR GRAVITY WAVES 下载免费PDF全文
下载免费PDF全文 By using two-dimensional dynamical equations in x-z plane with Boussinesq approximation,the effects of the second-order vertical shear of the basic flow uzz and the horizontal gradient of temperature (M) on the gravity wave and the isolated gravity wave are discussed.The magnitudes of uzz and M corresponding to the linear and nonlinear stabilities of the gravity waves are worked out,respectively.The results show that amplitude and width of the isolate dgravity wave are closely related to uzz and M.It is indicated that the isolated gravity wave with a width of about 10 km can be motivated by the disturbance of sub-synoptic scale in the certain ranges of flow field shear and temperature gradient,while the motivated waves may be associated with the cold surge ahead of a cold front and the other mesoscale synoptic systems. 相似文献
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冲击地压的发生机制与防治是煤矿动力灾害研究的重要问题。巷道顶板-支护系统在围岩扰动作用下存在接近共振状态的准共振现象将诱发顶板支护系统的冲击灾害,表现为顶板的位移、速度、加速度3种准共振强响应。依据支护失稳及支护塑性屈曲判别条件,给出支护动载破坏的3个安全系数及相应的危险扰动频率比区间,同时针对顶板支护系统准共振诱发的冲击灾害给出支护阻尼防冲控制分析。结果表明：在外界扰动力幅值低于静载下的支护临界破坏载荷时,顶板-支护系统的准共振现象是导致支护冲击破坏的主要原因;支护破坏的准共振危险扰动频率比区间与顶板支护系统的阻尼比及力幅比有关,随着阻尼比的增加,顶板准共振时的位移、速度及加速度响应幅值均减小,支护阻尼是对3种准共振响应均敏感的控制量;随着顶板支护系统阻尼比的增大或力幅比（外界扰动力幅值与支护静载破坏临界载荷之比）的下降,支护的危险扰动频率比区间范围将缩小甚至消失,同时阻尼比和力幅比取值均较小时,顶板支护系统在3种准共振下的危险扰动频率比取值区间较为接近。该研究将丰富对冲击地压发生机制的认识,同时对支护防冲控制设计具有参考价值。 相似文献
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陆维松 《南京气象学院学报》1994,17(1):11-19
从准地转正压涡度方程，提出新的双时间尺度，首次导得了正压大气波动的４波准共振耦合方程，即广义Ｌａｎｄａｕ方程，利用新的守恒量，求得其甚低频周期解，其周期为一年左右，这可认为是实际大气中年际振荡的一种新的物理机制。并可求出４波准共振波矢。 相似文献
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