推导压力容腔的新公式

Deduce New Pressure Chamber Formula

现存的压力容腔公式描述的是压力增量、压缩的体积、初始体积和体积弹性模量之间的关系,但是随着压力的增加,气体或液体的体积弹性模量也是增加的,这样就找不到压力增量与体积变化之间一一对应的关系了。如果按照低压状态下,体积弹性模量的数值计算,压力增量则会比实际值偏小;因此该文通过重新定义体积弹性模量,来保证压力在逐渐变化的情况下,压力增量与体积变化之间仍然存在一一对应的关系;并根据该体积弹性模量定义,推导了压力容腔的新公式;又通过实验,验证了新的压力容腔公式的准确性。新公式虽然只经过气体验证,但同样适用于液体。它为计算液压系统的压力动态响应问题提供了新的理论依据。

The original pressure chamber formula describe the relationship, which between pressure change, compressed volume, original volume and bulk modulus. However, the bulk modulus value will increase as the pressure goes up, it is impossible to find the one-to-one correspondence relationship between pressure change and volume change. The pressure change value will be smaller than the actual value if calculating with bulk modulus in low pressure. So in order to find one-to-one correspondence between pressure change and volume change even if the pressure goes up, the hulk modulus will be redefined in this paper. And according to the new bulk modulus definition, the new pressure chamber formula is redefined, then the new formula is verified to be credible by means of experiment. Though the new formula is tested by the experiment via the air equipment, it also can be applied in hydraulic system. It provides the new theory evidence when calculat- ing the pressure dynamic problem in the hydraulic system.