3-D Temperature Fields in Laminated Shells Subjected to Thermo-Loads
作者机构：Faculty of Civil Engineering and MechanicsJiangsu UniversityZhenjiang212013PR.China College of Civil EngineeringNanjing Tech UniversityNanjing211816PR.China University of QueenslandQueenslandAustralia
出 版 物：《Structural Durability & Health Monitoring》 (结构耐久性与健康监测（英文）)
年 卷 期：2018年第12卷第4期
页 面：281-298页
核心收录：
学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学]
基 金：supported by the Natural ScienceFoundation of Jiangsu Province (Grant No. BK20160519) the Research Foundation forAdvanced Talents of Jiangsu University (Grant No. 16JDG053) the National NaturalScience Foundation of China (Grant No. 51641804) the Natural Science Foundation ofJiangsu Province of China (Grant No. BK20160536) the Advanced Talents ScientificResearch Foundation of Jiangsu University (Grant No. 15JDG170)
主 题：Analytical solution temperature laminated Shells the analytical method thetransfer matrix method
摘 要：The temperature fields in the laminated shells were studied, including opencylindrical shells and cylindrical shells, according to the thermal theory. Analyticalsolution of the temperature in the shells with the known temperature on the surfaces waspresent. The thinning layer approach was introduced to simplify the three-dimensionalheat conduction equation. Firstly, the layered shell was divided into N thinner layers. Thegoverning equation was simplified by replacing the variable r by r0 in the center line ofevery thin layer. The general solutions of temperature satisfying the simplified threedimensionalgoverning equation in single-layered shell were deduced in the cylindricalcoordinate system. Then, the temperature and heat flux relationships between the surfacescould be found by transferring matrixes. According to the continuities of temperature andheat flux in the interface of the laminates, the temperature and heat flux relationships ofthe surfaces were derived. With the temperature condition on the surfaces, the unknowncoefficients in the general solution of temperature were obtained. Finally, the effects fromthe thinning layer approach were eliminated by analyzing different numbers of thin *** validity and accuracy of the proposal method were proved from the convergence andcomparison studies. And several numerical examples were studied to investigated thetemperature effects from surface temperatures, geometric size of the shells andcomposition of layers.
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