摘要
推导了细杆作横振动时其数理方程定解问题的一般形式,求出了加载均匀细杆横振动频率关于负载位置和负载质量的严格解,并据此提出了一种动态测量均匀杆杨氏模量的方法.还用实验验证了该理论,由此测得的杨氏模量与传统弯曲法测得的结果基本一致.
The general form of determinate solution problem on the equations of mathematical physics is deduced for a transverse rod vibration. The exact solution of a homogeneous rod vibration frequency as a function of load＇s position and quality is solved. Based on this theory,a kind of dynamic measurement method of Young＇s modulus is presented. The theory is verified by our experiments and the measurement of Young＇s modulus is consistent with one in the traditional bending method.
出处
《大学物理》
北大核心
2015年第7期39-43,60,共6页
College Physics
基金
国家物理学基础科学研究人才培养基金项目(J1103204)资助
关键词
共振频率
动态法
杨氏模量
resonance frequency
dynamical method
Young＇s modulus
