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| 直角平面角点衬砌对稳态平面SH波的散射 | |
| 引用本文： | 史文谱,褚京莲,李禄昌,胡爱芹. 直角平面角点衬砌对稳态平面SH波的散射[J]. 力学与实践, 2006, 28(5): 34-38 |
| 作者姓名： | 史文谱 褚京莲 李禄昌 胡爱芹 |
| 作者单位： | 烟台大学机电学院,烟台,264005;烟台大学光电学院,烟台,264005;烟台技术学院,烟台,264005 |
| 基金项目： | 烟台大学博士启动基金项目(JX03B5)资助． |
| 摘 要： | 利用波函数展开法求解了二维直角平面角点处圆弧形衬砌对稳态入射平面SH波的散射问题,得到问题的解析解．方法是首先构造出衬砌介质内外的总波场,它们能够预先满足直角平面两直角边界应力自由条件；再利用衬砌边界处的应力和位移连续条件写出确定散射波解中未知系数的方程组并求解．通过算例具体讨论了衬砌内边界处的环向应力集中系数和位移幅度比随无量纲波数、入射角的变化情况,结果表明它们存在不同程度的放大现象． |
| 关 键 词： | 直角平面 圆弧形衬砌 SH波散射 波函数展开法 应力集中系数 |
| 收稿时间： | 2005-09-14 |
| 修稿时间： | 2006-07-10 |
SCATTERING OF STEADY INCIDENT SH-WAVE BY CIRCULAR ARC LINING AT THE CORNER POINT OF RECTANGULAR PLANE |
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| SHI Wenpu,CHU Jinglian,LI Luchang,HU Aiqin. SCATTERING OF STEADY INCIDENT SH-WAVE BY CIRCULAR ARC LINING AT THE CORNER POINT OF RECTANGULAR PLANE[J]. Mechanics and Engineering, 2006, 28(5): 34-38 | |
| Authors: | SHI Wenpu CHU Jinglian LI Luchang HU Aiqin |
| Affiliation: | 1.Electro-Mechanical Institute of Yantai University, YantM 264005, China;2.Photo-Electrical Institute of Yantai University, Yantai 264005, China;3.Yantai Training College of Technology, Yantai 264005, China |
| Abstract: | Wave function expansion method is used to study the scattering of steady incident plane SH-wave by circular arc elastic lining at the corner point of a rectangular plane.The total wave solutions inside and outside the lining are constructed,which satisfy the free stress conditions of the two rectangular boundaries;all unknown coefficients in the scattering solutions and the refraction wave solutions are determined by solving the linear equations with the conditions of displacement/stress at the boundaries of the circular lining.An example is given to illustrate the variations of DTSCF(dynamic tangential stress concentration factor) and amplitude ratio of the points at the interior boundary of the circular lining vs dimensionless wave numbers and incident angles.The results of the example show that the DTSCF and the amplitude ratio are magnified to some extent. |
| Keywords: | rectangular planar space circular arc lining scattering of SH-wave wave function expansion method dynamic stress concentration factor |
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