Analysis of Transient Thermal Stress in Cylindrically Orthotropic Tubes
-
摘要: Kardomateas关于圆柱正交各向异性圆管瞬态温度应力的研究(Journal of Applied Mechanics,1989,1990)存在公式推导错误,虽经勘误,但没有给出正确的数值结果.该文采用Mathematica计算克服了Bessel函数计算过程中的大宗量问题,采用统一的计算公式给出了一般温度边界条件下圆管温度应力场的解析解,并给出了正确的数值结果.Abstract: The incorrect deduction of equations in the research works devoted to the studies of transient stress in cylindrically orthotropic tubes and done by Kardomateas(Journal of Applied Mechanics, 1989, 1990) leads to the wrong results. The errata(1991) correct the deduction error, but do not give the right numerical results. All errors are corrected, and the Mathematica is adopted to solve the large argument problem for Bessel function. A theoretical solution of the transient thermal stresses in tubes with uniform form is presented, and a numerical example is studied.
-
Key words:
- cylindrically orthotropic /
- transient thermal stress /
- composite tube
-
[1] Lekhnitskii S G.Theory of Elasticity of an Anisotropic Elastic Body[M].Moscow:Mir Publishers,1981. [2] Sherrer R E.Filament wound cylinder with axial symmetric loads[J].Journal of Composite Material,1967,1(3):344-355. [3] Pagano N J.The stress field in a cylindrically anisotropic body under two-dimensional surface traction[J].ASME Journal of Applied Mechanics,1972,39(6):791-796. [4] Kalam M A,Tauchert T R.Stresses in an orthotropic elastic cylinder due to a plane temperature distribution T(r,θ)[J].Journal of Thermal Stresses,1978,1(1):13-24. [5] Hyer M W,Cooper D E.Stresses and deformations in composite tubes due to a circumferential temperature gradient[J].ASME Journal of Applied Mechanics,1986,53(6):757-764. [6] Kardomateas G A.Transient thermal stress in cylindrically orthotropic composite tubes[J].ASME Journal of Applied Mechanics,1989,56(4):411-417.(see also:Errata[J].Ibid,1989,58:909) [7] Kardomateas G A.The initial phase of transient thermal stresses due to general boundary thermal loads in orthotropic hollow cylinders[J].ASME Journal of Applied Mechanics,1990,57(6):719-724.
计量
- 文章访问数: 2294
- HTML全文浏览量: 120
- PDF下载量: 836
- 被引次数: 0