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从力学角度对欧拉-伯努利梁的简谐振动进行分析,推导出梁的横向振动方程;在考虑边界条件的情况下推导出两端固定梁的频率方程和主振型函数;建立主振型频率与相应密度的关系解析式,求解得到目标流体密度.以此为基础,提出了一种基于振荡管的新型流体密度测量方法(系统).实验表明,相对于目前外业常用流体密度计,该流体密度计具有误差小于0.2%的高测量精度,且具有较好的抗恶劣环境的性能.
The simple harmonic vibration of Euler-Bernoulli beam is analyzed from the mechanical point of view, the transverse vibration equation of the beam is deduced. The frequency equation and the main mode function of the fixed beam are deduced under the consideration of the boundary conditions. Based on this, a new fluid density measurement method (system) based on oscillatory tube is proposed.The experiment shows that compared with the current density of fluid commonly used in the field The fluid density meter has a high measurement accuracy with an error of less than 0.2% and has good performance against harsh environments.