Effect of annular seal on the lateral-axial bi-direction coupled dynamic characteristics of a multi-stage pump wet rotor
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摘要: 為探究口環密封對多級離心泵轉子橫-軸雙向耦合振動的影響,基于空間歐拉角變換及有限元法,建立了多級離心泵轉子系統葉輪和軸系的微分運動方程,在此基礎上,充分考慮口環流體激振力和多種軸向力的耦合作用,利用矩陣運算方法建立了多級離心泵濕轉子的橫-軸雙向耦合振動模型,并采用Newmark法對雙向耦合系統的瞬態動力學特性進行求解,重點研究了口環密封長度、壓差和間隙對系統耦合振動特性的變化規律,計算了不同密封參數下的流體激振力.計算結果表明,口環密封對轉子系統橫向振動的洛馬金效應隨著密封長度和壓差的增大以及間隙的減小愈發明顯,轉子系統的橫向穩態振動收斂速度快于軸向穩態振動的收斂速度,兩向瞬態振動的振動頻率呈現出完全不同的特性.此外,密封的流體激振力與密封長度呈現非線性變化關系,而與密封壓差和間隙呈現線性變化關系.Abstract: Because of the increasingly rigid and complex operating conditions for multi-stage pumps, the annular seal is playing an important role in determining the dynamic characteristics of a rotor system. The annular seal can prevent fluid leakage to ensure that the pump system can satisfy the design requirements, such as the head and efficiency. However, the fluid-induced force that is caused inside the annular seal by the pressure reduction and nonconcentric motion directly acted on the rotor system, which presents transient characteristics with a variation in the operating conditions. Based on the Euler angle transformation and the finite element method, the differential equations of motions for impeller and shaft were determined in this study, and the coupled effects, including the fluid-induced force of the annular seal and multiple axial forces, were considered. These equations of motions and coupled effects were conducted to investigate the effect of the annular seal on the lateral-axial bi-direction coupled vibration for a multi-stage pump rotor system. Finally, the lateral-axial bi-direction coupled vibration model for a multi-stage pump wet rotor was integrated with the matrix operation,and the corresponding coupled transient dynamics were solved using the Newmark method. The changing rules of the coupled vibration characteristics and fluid-induced force were mainly investigated for different sealing lengths, pressure drops, and clearances. The calculated results imply that the influence of the annular seal on the Lomakin effect for rotor lateral vibration becomes increasingly obvious with increasing length and pressure drop and with decreasing clearance. The convergence rate for the lateral vibration is observed to be faster than that for the axial vibration, and the vibration frequencies for the lateral-axial bi-direction presents different features. Furthermore, the fluid-induced force between the sealing lengths presents a nonlinear relation, whereas that between the pressure drop and clearance exhibits a linear relation.
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參考文獻
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