支撑共振法测量液体密度的研究

摘要

采用支撑共振法测量材料杨氏模量的实验装置,由分离变量法近似求解内部含液体管状材料横振动Housner方程,得到管状材料内部液体密度计算公式.通过实验测量并计算了蒸馏水及不同浓度蔗糖溶液的密度值,得到的实验值与理论值之间的相对误差在正常误差范围3％以内.%Experimental support resonance method is used to measure Young's modulus experiment device,and material separation variable method is used to approximate solution Housner transverse vibration equation of tubular material containing fluid tube material which can obtain the liquid density calculation formula.Through the experimental measurement and calculation of the density of distilled water and different concentrations of sucrose solution values,the relative error between the experimental value with the theoretical value is in the normal range of error of being less than 3 ％,which provides a new method to measure the liquid density.