摘要
应用变分法对描述液压传动中流体瞬变的偏微分方程进行了分析,推导了波动方程的二次泛函形式。证明了波动方程的解和二次泛函极值解的等价性,以及二次泛函极值解的存在唯一性,为其在液压传动中流体瞬变分析的进一步应用提供了理论依据。
The partial differential equation of fluid transients in hydraulic transmission was analyzed using variational method. The quadratic function of wave equation was derived. The fact that solution of wave equation is equivalent to the extreme value of quadratic function solution was verified, and the existence and uniqueness of the quadratic function solution was also proved. So the theoretical base in fluid transients analysis in hydraulic transmission is provided for farther applications.
出处
《中国机械工程》
EI
CAS
CSCD
北大核心
2006年第5期485-487,共3页
China Mechanical Engineering
关键词
流体瞬变
变分解法
二次泛函极值
等价
fluid transient
variational method
extreme value to quadratic function
equivalent