Calculation of Natural Frequencies on Transverse Vibration for drill strings in Non-Uniform Temperature Field

2019 International Conference on Advanced Electronic Materials, Computers and Materials Engineering

无线电电子学;计算机科学;材料科学

Jianqing, Ma^1 ; Junqiang, Li^1 ; Guangwei, Zhang^1

School of Mechanical Engineering, Xi'An Shiyou University, Xi'an, Shanxi

710065, China^1

关键词: Effect of temperature;    Effects of temperature;    First-order approximations;    First-order frequency;    Mechanical properties of materials;    Nonlinear vibration equation;    Nonuniform temperature;    Nonuniform temperature field;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/563/5/052049/pdf
DOI  :  10.1088/1757-899X/563/5/052049

来源: IOP

【 摘 要 】

It is necessary to consider the effect of temperature which changes the mechanical properties of materials when drill strings work in a non-uniform temperature field. In this paper, the natural frequencies of transverse vibration are studied under axial compression in the nonuniform temperature field. Using an asymptotic solution method, first-order approximation formula of the nonlinear vibration equation is obtained. The effects of temperature changes and axial pressure on the natural frequencies are discussed by an example. The results show that the influence of temperature on the critical load is small; change rate of natural frequency increases with the increase of axial pressure; while the axial pressures become larger, the influence of temperature on the first-order frequency is greater than on the second-order's.