一维EEP自适应技术新进展:从线性到非线性

有限元后处理中超收敛计算的EEP(单元能量投影)法以及基于该法的自适应分析方法对线性ODE(常微分方程)问题的求解已经获得了全面成功,也推动了非线性ODE问题自适应求解的研究。经过研究,已经实现了一维有限元自适应分析技术从线性到非线性的跨越,该文意在对这方面的进展作一简要综述与报道。该文提出一种基于EEP法的一维非线性有限元自适应求解方法,其基本思想是通过线性化,将现有的线性问题自适应求解方法直接引入非线性问题求解,而无需单独建立非线性问题的超收敛计算公式和自适应算法,从而构成一个统一的、通用的非线性问题自适应求解算法。该文给出的数值算例表明所提出的算法高效、稳定、通用、可靠,解答可逐点按最大模度量满足用户给定的误差限,可作为先进高效的非线性ODE求解器的核心理论和算法。     

交通荷载作用下土工格栅加筋路基的弹塑性分析

基于所提出的土工格栅与土动力相互作用有限元分析模型和分析程序G－D,对路面下铺设土工格栅的道路模型和不加筋道路模型进行动力响应对比分析,研究在交通荷载作用下加筋路基位移和加速度响应特性和土工格栅与土的相互作用对加速度的影响,以揭示土工格栅的加筋机理和效果。     

Minimum-Weight Design of Multipurpose Tie-Beam of Solid Cross-Section

The paper presents the minimum-weight design of an elastic, simply-supported member of solid cross-section that is to act as a tie for a part of its design life and as a beam for the rest, but not both at any given time. Upper bounds are prescribed on the longitudinal elongation under an axial tension and on the maximum deflection under a transverse concentrated load. The range of constraints is divided into regions of possible single-purpose minimum-weight designs. The effectiveness of optimization is judged against a prismatic bar having the same transverse stiffness.     

轴对称胀形双曲金属薄壳非线性静力分析

对承受内压、非等厚轴对称双曲薄壳,基于大塑性变形几何关系,通过严格的数学推导,建立了用微分代数方程组描述的数学模型。避免了Gleyzal等建立的变形几何关系采用Taylor展开,导致求解大应变问题精度较低的不足。采用可变步长和变阶的Klopfenstein-Shampine数值微分方法进行计算,可方便地获得该类结构应力、应变和位移等参量的变化规律。通过对比该数学模型和基于Gleyzal几何关系数学模型的数值计算结果与试验结果,验证了模型能较好地描述胀形双曲金属薄壳的大应变特性。     

基于塑性应变能的多轴低周疲劳寿命预测模型

在分析多轴疲劳损伤机理的基础上,提出一个新的多轴低周疲劳寿命预测模型。此模型以临界平面上的塑性应变能作为疲劳损伤参量,分析了临界平面的特点并给出了损伤参量的计算过程。利用该模型预测了不同加载路径下的304不锈钢试件的疲劳寿命,并与试验值进行比较。结果表明,该损伤参量具有明确的物理意义,能够适用于多轴比例与非比例等各种复杂的加载情况。     

Evaluation of thermal spike due to exothermic reaction in curing process of carbon fiber-reinforced plastic pressure accumulators for hydrogen stations

In the curing process of fiber-reinforced plastic accumulators, a thermal spike appears due to the exothermic reaction of the resin. It is necessary to accurately evaluate this thermal spike to guarantee quality and avoid using a trial and error approach to control the temperature. Thus, we developed a curing process simulator that is able to accurately evaluate the thermal spike of the thermosetting resin. A simplified mesoscale finite element model with the definite separation of fiber and resin is used in the simulation. In this study, the newly developed simulation system was examined by comparing its results with the experimental results from the curing process of fiber-reinforced plastic accumulators.     

Application of material strength reserve method to the stability analysis of earth dam of feilaixia multipurpose project

The material strength reserve method is practical in the study of the stability and failure mechanism of earth dam by analysing the development of failure zone of different shear strength parameters of the earth mass of the dam. The stability in the concrete dam and ensemble architecture has got general application while analysing. In combination with Feilaixia Multipurpose Project, application of this method to earth dam stability analysis was studied by plane Finite Element Method（FEM） for the first time. Through plane FEM, we can get the failure mechanism of earth dam and appraise to the security, for operating and managing put forward some reference suggestions.     

基于有限元方法的液体火箭发动机机架优化设计

采用ANSYS有限元分析软件提供的优化方法对液体火箭发动机机架的优化问题进行了分析,提出了机架优化设计的一般流程,使用ANSYS的APDL语言编写了机架优化设计分析程序,通过对优化程序的研究,获得了某型号发动机机架的最优化结果,优化后的质量比初始设计质量大大的减轻.     

基于热力学定律的混凝土本构模型研究

由热力学定律出发,介绍了耗散函数的形式,给出了建立混凝土本构模型的方法和过程,并对参数的确定进行了讨论,得到了基于热力学原理的混凝土多轴本构关系和真实应力空间中的屈服准则、破坏准则及塑性流动法则。由此方法建立本构模型,引入假定较少,避免了假设"塑性势函数"的做法,得到的结果自动符合热力学原理,具有一定的普遍性。算例表明,该模型计算结果与试验结果符合较好。