弯曲波对含多圆孔薄板的散射与动应力集中

Dynamic stress concentration in multi-cutouts-contained thin plates subjected to flexural waves

1.
College of Aerospace and Civil Engineering, Harbin Engineering University, Harbin 150001, Heilongjiang, China

摘要: 采用复变函数法和多极坐标方法，研究了弯曲波对含有多圆孔薄板的散射问题。通过板的弯曲波动方程和内力方程的推导，求出在入射弯曲波条件下该问题的一般解的函数逼近序列和边界条件的表达式。用展开正交函数的方法将待解的问题归结为对一组无穷代数方程组的求解。最后，给出了含3圆孔薄板的孔边动应力集中系数的结果，并分析了孔间距和波数对动应力分布的影响。
- 固体力学 /
- 动应力集中 /
- 复变函数法 /
- 多圆孔薄板 /
- 多极坐标
Abstract: Scattering of flexural waves by multiple cutouts and dynamic stress concentration in the thin plates were investigated in terms of the complex variable function method and multi-polar coordinates. The expressions of function approach sequences and condition boundary for the general solution to this problem were proposed by deducing the bending motion equations of the plates. It was solved as a series of infinite algebraic equations by expanding the orthogonal functions. The dynamic moment factors of the plates with three circular cutouts were numerically presented, and the influences of paces between circular cutouts and wave number on dynamic stress distribution were analyzed.
- solid mechanics /
- dynamic stress concentration /
- complex variable function method /
- thin plates with multiple circular cutouts /
- multi-polar coordinates