锥壳稳定方程的一般解

在本文中,用应力函数和中面法向位移表示的锥壳稳定方程被变化成为一对无奇异性的简化方程,然后得出了方程的幂级数形式的一般解。计算结果与已有的实验结果符合良好。计算分析了８种边界情况下边界条件对静水外压临界载荷的影响及解的收敛性。     

微分方程解的稳定性与周期性

综合利用相空间理论、压缩映像原理、算子的性质以及Liapunov泛函的方法，研究了具有无限时滞中立型泛函微分方程周期解的存在性、唯一性及稳定性问题，得到新的结果，推广了已有的结果。     

Performance evaluation of a production/inventory system with periodic review and endogenous lead times

This paper considers a discrete time, single item production/inventory system with random period demands. Inventory levels are reviewed periodically and managed using a base‐stock policy. Replenishment orders are placed with the production system which is capacitated in the sense that there is a single server that sequentially processes the items one at a time with stochastic unit processing times. In this setting the variability in demand determines the arrival pattern of production orders at the queue, influencing supply lead times. In addition, the inventory behavior is impacted by the correlation between demand and lead times: a large demand size corresponds to a long lead time, depleting the inventory longer. The contribution of this paper is threefold. First, we present an exact procedure based on matrix‐analytic techniques for computing the replenishment lead time distribution given an arbitrary discrete demand distribution. Second, we numerically characterize the distribution of inventory levels, and various other performance measures such as fill rate, base‐stock levels and optimal safety stocks, taking the correlation between demand and lead times into account. Third, we develop an algorithm to fit the first two moments of the demand and service time distribution to a discrete phase‐type distribution with a minimal number of phases. This provides a practical tool to analyze the effect of demand variability, as measured by its coefficient of variation, on system performance. We also show that our model is more appropriate than some existing models of capacitated systems in discrete time. © 2007 Wiley Periodicals, Inc. Naval Research Logistics, 2007     

圆柱壳振动声辐射Jacobi-Ritz时域半解析法及特性分析

针对圆柱壳结构瞬态声振特性分析研究不足,结合Newmark-β积分法和Kirchhoff时域边界积分方程,提出一种圆柱壳受迫振动声辐射Jacobi-Ritz时域半解析法。基于一阶剪切变形理论和微元法思想,建立了圆柱壳振动声辐射分析模型,采取Jacobi多项式和Fourier级数表示轴向和周向位移容许函数,基于Rayleigh-Ritz法和Newmark-β积分法计算圆柱壳的受迫振动时域响应,在此基础上,基于Kirchhoff积分方程求解辐射噪声时域响应,分析圆柱壳受迫振动声辐射特性。与有限元方法/边界元方法数值结果对比表明,该方法具备收敛性好、精度高等优点,圆柱壳结构声振响应峰值随边界条件的刚度变弱存在左移现象,振动声辐射响应随厚度的增加呈现下降趋势;当随机载荷峰值频率与结构固有频率接近时,结构声振响应出现强特征线谱。     

定期维护与事后修理组合的维修策略

为了客观合理地制定产品的定期维护与事后修理组合的维修策略,分析了该组合策略下产品的性能变化特点,并从失效机理出发,利用复合Poisson过程描述了产品性能退化规律,建立了以产品长期运行下费用率最低为目标的优化模型,并通过求解得到了最优的维护周期.最后,实例分析表明:该方法能够较好地描述产品的性能退化规律;同时,优化得到的维修策略值可以有效地降低维修费用,并延长产品使用寿命.     

环肋轴对称组合壳塑性极限分析的弹性模量调整有限元方法

基于轴对称截锥壳单元,以单元横截面峰值应力为等效应力,建立了弹性模量调整有限元方法,应用Fortran语言编制了有限元软件用于计算环肋轴对称组合壳的塑性极限载荷.该方法根据组合壳的应力分布情况调整轴对称壳单元和肋骨单元的弹性模量,并进行一系列的弹性迭代计算,计算收敛后即可以得到环肋轴对称组合壳的塑性极限载荷.通过对算例的计算证明:该方法具有良好的收敛性和较高的效率,计算结果与试验结果吻合较好.     

非自治Lotka-Volterra竞争系统的持久性与正概周期解

利用微分不等式和Liapunov第二方法 ,研究了二维非自治Lotka -Volterra竞争系统的持久性与正概周期解的存在性、唯一性及全局渐近稳定性。     

一类多时滞泛函微分方程周期正解的存在性

利用非线性泛函分析中半序Banach空间的锥理论和不动点指数方法,讨论了一类多时滞泛函微分方程周期正解的存在性问题,并得到此类多时滞泛函微分方程周期正解存在的几个充分条件。     

强激光辐照下双层壳体温度场和应力场的数值模拟

强激光照射下结构的热力学响应是激光应用技术的重要问题.本文采用三维有限元分析模型,对双层圆柱壳在强激光辐照下的温度场、应力场和位移场进行了数值模拟与分析.分析时考虑了材料参数随温度的变化特性,主要探讨了不同光斑直径下双层壳温度场的变化趋势,研究了外层壳厚度、热膨胀系数、弹性模量和泊松比等参数对内层壳光斑中心处温升、应力...     

一类多时滞泛函微分方程周期正解的存在性

利用非线性泛函分析中半序Banach空间的锥理论和不动点指数方法,得到了一类多时滞泛函微分方程周期正解存在性的充分性条件。