圆锥壳轴对称弯曲问题精确的四阶挠度微分方程和贝塞尔函数解  

A REFINED DIFFERENTIAL EQUATION OF DISPLACEMENT OF FOURTH ORDER FOR THE AXIAL SYMMETRICAL BENDING PROBLEM OF A CONICAL SHELL AND ITS SOLUTION IN BESSEL FUNCTION

作　　者：范存旭[1] 

机构地区：[1]武汉工业大学

出　　处：《上海力学》1995年第3期255-261,共7页Chinese Quarterly Mechanics

摘　　要：本文提出了轴对称圆锥壳精确的四阶挠度微分方程。和现行薄壳理论中常用的四阶剪力Q_1微分方程相比,挠度微分方程与其精度相同,阶数相同,而且满足边界条件简单,使圆锥壳的计算得到很大的简化。This paper presents a refined differential equation of displacement of fourth order for the axial symmetrical bending problem of a conical shell. Comparing with the differential equation of the same problem expressing with the shearing forces (Q1) also of the fourth order in the current theory, the solution of the present differential equation in displacement has the same accuracy; yet, it is easy to treat the boundary conditions offering smooth calculation.

关 键 词：四阶挠度 微分方程 贝塞尔函数解 圆锥形壳 

分 类 号：TU330.1[建筑科学—结构工程]