单层厚壁圆筒的Green函数及其动应力分布  

Green Function for Monobloc Thick-Walled Cylinder and Its Dynamic Stress Distribution

作　　者：原新生[1] 吕金城[1] 肖建清[1] 

机构地区：[1]安阳师范学院建筑工程学院,中国安阳455002

出　　处：《湖南师范大学自然科学学报》2013年第5期33-38,共6页Journal of Natural Science of Hunan Normal University

基　　金：国家青年自然科学基金资助项目(11002067)

摘　　要：通过建立轴对称冲击载荷作用下单层厚壁圆筒的Green函数,得到了问题的位移分布的解析解和相应的动应力分布表达式,此解法不仅避免了将动力学的一般解分解位拟静态解和自由振动解叠加的过程,而且解的形式适用于各种初始条件,便于数值计算和应力分布规律的分析.通过一个实例的计算,表明本文求解方法的正确性,并以此结果具体分析了单层厚壁圆筒的动应力分布规律.The Green function of monobloc thick-walled cylinder under axis symmetric impact load is detined. By solving Green function, the analytical are obtained. This method not only solution and free vibration solution, easy for numerical calculation and paper is proved to be correct, and solution of displacement distribution and corresponding stress expressions avoids the process which decomposed dynamic general solution to quasi-static but also the forms of solution are suitable for all kinks of original conditions, dynamic stress analyses. Through a real example, the solving method in this dynamic stress distribution is analyzed with this results.

关 键 词：轴对称 圆柱壳 GREEN函数 应力分布 

分 类 号：O347.1[理学—固体力学] O174.6[理学—力学]