【作者】 朱永安；

【导师】 王璠；

【作者基本信息】 暨南大学 ， 工程力学， 2005， 硕士

【摘要】 现代复合材料自60年代用作工程结构材料以来已取得很大成就。先进复合材料作为一种比较理想的结构材料和功能材料,具有许多独特的优点和重要的实用价值,其在工程中的应用多为板壳的形式。复合材料层合扁球壳在工程中应用广泛,且受力情况复杂,其力学性能的研究日益受到重视,由于非线性数学问题求解的困难,对复合材料层合扁球壳屈曲问题的研究比较有限,尤其是热屈曲问题。本文研究了复合材料层合扁球壳的非线性热屈曲问题,为复合材料层合扁球壳在工程中的应用提供一些有价值的参考。 本文首先回顾了国内外学者在板壳热屈曲问题方面所做过的主要工作,分析了研究的范围和方法。随后在几何非线性的基础上,考虑了横向剪切的影响,建立了复合材料层合扁球壳在均布荷载和温度场联合作用下的热屈曲控制方程。第三章中,对热屈曲控制方程在固定夹支、可移夹支、可移简支、不可移简支四种边界条件下采用修正迭代法进行了求解,求得了考虑温度场影响的非线性荷载—挠度关系式,临界屈曲荷载的解析表达式和临界几何参数的解析表达式,并用数值算例分析了几何参数,材料参数对临界荷载的影响,重点分析温度场的变化对临界荷载的影响,并对结果进行比较和分析。结果表明,热弯矩和热膜力的变化对临界荷载和临界几何参数有显著的影响。更多还原

【Abstract】 Composite materials have been widely applied as engineering structure materials since 1960s. As excellent engineering materials and function materials , advanced composite materials have many unique merits and important practical values. Composite materials are widely used as plates and shells in engineering. The lanminated composite shallow spherical shells are widely applied in engineering, which are always under complicated loads. The research on the mechanical properties of lanminated composite shallow spherical shells is paid more and more attention. Because of the difficulty of solving nonlinear mathematical problems, there is only several research on buckling of lanminated composite shallow spherical shells, especially on thermal buckling of lanminated composite shallow spherical shells. The nonlinear thermal buckling of lanminated composite shallow spherical shell is studied in this paper, some valuable references are provided for the application of lanminated composite shallow spherical shells in engineering.In chapter one, the major work that both domestic and foreign scholars have done on thermal buckling of plates and shells is reviewed. The range of research and the methods of research are analyzed. In chapter two, the governing equation of thermal buckling is established based on nonlinear geometry, the effects of transverse shear deformation are taken into accounted. Finally, the governing equation is solved by the modified interation method in four types of boundary conditions which are immovably clamped supports, movably clamped supports, movably simply supports and immovably simply supports. The relationship between load and deformation, the analytical expression of critical load and the analytical expression of critical geometrical parameter under temperature are obtained. The effect of geometric parameters, the material parameters and the variation of temperature fields on critical load is analyzed, and the result is compared. The results show that the thermal moment and the thermal membrane force have remarkable effects on the critical loads and the critical geometricalparameter.更多还原