匀质木杆横振动能量耗损的研究

STUDY ON THE ENERGY CONSUMPTION IN THE TRANSVERSE VIBRATION OF UNIFORM WOODEN ROD

本文在实验基础上建立了弹性匀质木杆有阻尼自由振动的数学—力学模型,并从能量的角度研究了木杆的振动问题。从理论上导出了阻尼力耗损能量的计算式,并得出了各次频振动的能量分布及杆上各点的振动规律。对于平行于纤维方向的红松木杆,测试结果表明:可认为杆内部阻尼与振动速度成正比;基频振动耗损贮存杆内弹性势能的97.3％,基频振动频率f_l=9.875 l/s;衰减常数β=2.31 l/s。

The mathematical-mechanical model for the damped free vibration of the elastic uniform wooden rod has been presented on the basis of experiments, and the vibration itself has been researched from the Point of view of energy. Theoretically, the formula calculating for the energy consumption of damped force and the distributions of energy in every vibration frequency as well as the vibration rules of every point on the rod. The examination results of korean pine rod paralleled to the fiber direction show that: The inner damped force of the rod is in positive proportion to the velocity of vibration; About 97.3% of the inner elastic potential energy may be stored by the consumption of basic frequency vibration, and, the basic vibration frequency(f) is 9.875 1 / s, the attenuation constant(β) is 2.31 1/s.