有限厚度圆柱壳热冲击问题的广义热弹性解

发布时间：2018-03-11 16:36

本文选题：广义热弹性　切入点：热冲击　出处：《应用数学和力学》2016年06期 　论文类型：期刊论文

【摘要】：针对包含有界边界的轴对称结构受热冲击作用的广义热弹性问题进行了研究分析.基于Lord-Shulman广义热弹性理论(L-S理论),构建了热冲击下有限厚度圆柱壳热弹性响应的广义热弹性模型.借助Laplace(拉普拉斯)变换技术以及Bessel函数的渐进特性,推导了温变载荷作用下,圆柱壳内部位移、温度以及应力场的解析表达式.该表达式不仅可以清楚地揭示热冲击下热波、热弹性波在壳体内部的传播、反射以及叠加的作用过程,更可准确地捕捉到热波、热弹性波波前位置处的阶跃现象,并对热冲击诱发的动态热应力峰值进行有效预测.
[Abstract]:The generalized thermoelastic problem of axisymmetric structures subjected to thermal shock with bounded boundary is studied and analyzed. Based on Lord-Shulman 's generalized thermoelastic theory and L-S theory, the thermoelastic response of cylindrical shells with finite thickness under thermal shock is constructed. Generalized thermoelastic model. With the Laplace transformation technique and the asymptotic properties of Bessel functions, The analytical expressions of the internal displacement, temperature and stress field of cylindrical shells under the action of temperature varying loads are derived, which can not only clearly reveal the propagation of thermal waves and thermoelastic waves in the shell under thermal shock. The step phenomenon at the front position of thermal wave and thermoelastic wave can be accurately captured by reflection and superposition, and the peak value of dynamic thermal stress induced by thermal shock can be predicted effectively.
【作者单位】：江苏大学能源与动力工程学院;江苏太湖锅炉股份有限公司;
【基金】：国家自然科学基金(51206062) 江苏省博士后基金(1501126B)~~
【分类号】：O343.6

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