Abstract

Closed-form expressions for temperatures and elastic thermal stresses in an infinite hollow two-material compound cylinder subject to steady-periodic sinusoidal ambient temperatures are presented, taking finite heat transfer coefficients into account. The fluctuating temperatures and stresses in the cylinder are expressed in terms of complex-valued modified Bessel functions under the assumption of temperature-independent material properties. Transient thermal loads composed of linear temperature ramps are expressed as Fourier series, and studied by the presented method. In order to verify the analytic results, examples involving sinusoidal and linear loads are examined by finite element calculations.

摘要

考虑到有限传热系数，给出了受稳态周期性正弦环境温度影响的无限空心双材料复合圆柱体中温度和弹性热应力的闭合形式表达式。在与温度无关的材料特性假设下，圆柱体中的波动温度和应力以复值修正贝塞尔函数表示。由线性温度斜坡组成的瞬态热负载表示为傅立叶级数，并通过所提出的方法进行研究。为了验证分析结果，通过有限元计算检查了涉及正弦和线性载荷的示例。