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中文摘要：
基于几何非线性理论,提出一类偏心铺设的形状记忆合金（SMA）复合材料梁的数学模型,建立梁在温度载荷作用下的非线性弯曲控制方程,应用打靶法进行数值求解,得到均匀加热下两端不可移简支SMA层合梁的热弯曲数值解.给出具体算例的平衡构形和平衡路径,并分析和讨论SMA的几何和物理参数对梁变形的影响.结果表明梁在升温的一开始就发生变形,升温过程中随着SMA的相变,变形趋势加剧,通过改变SMA的几何、物理参数可以调整梁的变形.
英文摘要：
The mathematical model of a shape memory alloy （SMA） composite beam was presented. Based on an accurate geometrically nonlinear theory, the governing equations of nonlinear thermal bending and buckling of a beam subjected to a temperature rise were derived. By using the shooting method to solve the corresponding nonlinear boundary-value problem, numerical solutions were obtained for the SMA composite beam with its both ends being immovably and simply supported under uniform temperature rise. The equilibrium paths and configurations of a typical example were given. The effect of geometric and physical parameters of SMA on the deformation of the beam was also examined. The result showed that the deformation happened at the beginning of temperature rise. In the process of temperature rise, the deformation trend was exacerbated with the SMA＇ s phase change. By changing the SMA＇ s geometry and physical parameters, the deformation of the beam could be adjusted.
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