摘要
利用直杆弯曲振动的Timoshenko理论,求出等厚度矩形对称变截面指数杆弯曲振动的振型函数以及四种边界条件下的频率方程。这四种频率方程的边界分别是:固支—自由, 自由—自由,固支固—支,简支—简支。同时又给出了在超声振动情况下谐振长度的表达式,并对两端自由杆超声弯曲振动的变帽作用作了详细讨论。
The normal model functions and four kinds of frequency equations were given for the flexural vibrations of a symmetric exponential bar with reetangular and non uniform cross section, The boundaries for these equations are: (a) clamped-free; (b) free-free; (c) clamped clamped; (d) hinged-hing-ed. The simple expressions of harmonic length were also obtained under the above boudary conditions for ultrasonic vibrations, Analyses on numerical calculation testified the correctness of the Timoshenko's theory and the relation between lhe Timoshenko's theory and the classical thenry and the other two kinds of approximate theories of bars. Finally, a detailed discussion was made for the anplitude transformation of a free-free bar.
出处
《陕西师大学报（自然科学版）》
CSCD
1991年第1期31-35,共5页
Journal of Shaanxi Normal University(Natural Science Edition)
