矩形截面细长杆应力波的探讨

Research on the Stress Wrave of Long and Thin Bar of Rectangle Section

用数学物理方程对拒形截面细长杆的应力渡进行了讨论。结果表明，细长杆的应力波由右传播波和左传播波组成，直杆的应变ε、应力σ和位移U（x，t）与右传播波移动速度α密切相关，α值取决于材质（E，P）或外因（W）和内因（ε），锥杆的应变ε（x，t）应力σ（x，t）和位移U（x，t）主要取决于设计因素（l），其次取决于材质（E，ρ）和性能（ε）；直─锥组合杆的应力为：，某级直─维组合杆的锥部截面为结构薄弱处或性能薄弱处。

This papers deals with the stress wave of long and thin bar of rectangle section by means of mathematical physics equation, The stress wave of long and thin bar is composed of the right propagational wave and the left propagational wave. The strain ε,the stress α and the displacement u(x, t) of straight bar are relevant to the shift speed αof the right propagational wave, The shift speed α depends on the material qualities (E,ρ) of the external cause (v) and the intemal cause ε .The strain ε,the stress αand the displacement u(x, t)of taper bar are principally, relevant to the desige cause (l)and are secondly relevant to the material qualities (E, ρ) and the peformance ε .The stress αn of straight and taper bar is shown to be ,A certain taper sectionof straight and taper bar has become a weak section in structure and performance.