in this paper, according to the fluid dynamic theory, mathematical model of the pressure transients accompanying the growing and collapsing of gas bubbles and cavitation in low pressure hydraulic pipelines is given, based on the continuity equation and motion equation . the mathematical models of friction item, the growing and collapsing of gas bubbles and cavitation are also introduced 本文通過流體力學分析方法,在連續(xù)性方程和運動方程基礎(chǔ)上,建立了低壓液壓管路中伴隨氣泡和氣穴產(chǎn)生的瞬態(tài)壓力脈動數(shù)學模型,給出了動態(tài)摩擦力數(shù)學模型及氣泡和氣穴產(chǎn)生及破滅數(shù)學模型。