Nd：YAG方形薄片激光器3维温度及热应力的数值模拟

在有限差分迭代方法的基础上,利用MATLAB程序模拟计算了在超高斯泵浦光连续作用下Nd:YAG薄片激光器中方形薄片介质的3维瞬态和稳态温度分布。根据热平衡微分方程和热弹性体边界条件,由3维温度分布数值模拟了介质的3维位移和热应力。有限差分迭代方法避免了常规的有限元法需要求解超大稀疏矩阵而导致的占用系统的内存数增加和计算速度等问题。模拟计算得到的介质温度分布和应力分布与实验结果相符合。

基于P-Y曲线法的水平荷载桩的特性分析

对于水平受荷桩,P-Y曲线法是一种较好地反映其非线性变形特性的计算方法,当桩身变形较大时,其它方法相比P-Y曲线法有很大的优越性。本文依有限差分迭代法在迭代过程中反复利用土的P-Y曲线,直至计算到桩的相对刚度与实际绘制的P-Y曲线相符合,并通过实例分析表明该方法可很好地反映实际情况,具有一定的实用性。

有罩雷达目标表面温度场求解方法

针对雷达目标在军事打击的重要战略地位,提出了一种有罩雷达目标表面温度场求解方法。首先,对雷达目标的结构特性进行分析,在此基础上将有罩雷达目标简化为椭球目标;其次,对雷达目标三维温度场进行建模,在球坐标系下建立瞬态热传导方程,分析边界条件,建立热平衡模型;最后,对雷达目标表面温度场模型及边界条件进行简化,提出了基于降维有限差分的迭代法,对目标表面温度场进行数值求解。利用文中算法得到的温度场分布及生成的红外仿真图像,符合实际情况,其温度变化规律与实际一致,建立的温度场模型及求解方法切实可行,为进一步研究目标红外辐射特性提供了基本参数和理论依据。

Reinforcement strength reduction in FEM for mechanically stabilized earth structures

The factor of safety of mechanically stabilized earth(MSE) structures can be analyzed either using limit equilibrium method(LEM) or strength reduction method(SRM) in finite element/difference method. In LEM, the strengths of the reinforcement members and soils are reduced with the same factor. While using the SRM, only soil strength is reduced during the calculation of the factor of safety. This causes inconsistence in calculating the factor of safety of the MSE structures. To overcome this, an iteration method is proposed to consider the strength reduction of the reinforcements in SRM. The method is demonstrated by using PLAXIS, a finite element software. The results show that the factor of safety converges after a few iterations. The reduction of strength has different effects on the factor of safety depending on the properties of the reinforcements and the soil, and failure modes.