含内埋矩形脱层复合材料圆柱壳屈曲分析的混合变量条形传递函数方法

提出了一种分析含内埋矩形脱层正交各向异性圆柱壳稳定性问题的混合变量条形传递函数方法。首先基于Mindlin一阶剪切壳理论，通过定义圆柱壳的广义力变量和混合变量，建立了壳的改进混合变量能量泛函；然后，为了便于脱层壳的分区求解，通过引入条形单元，创建了基于混合变量条形传递函数解的含脱层和不合脱层两种超级壳单元；在此基础上，将含内埋矩形脱层的复合材料层合壳划分成两种超级壳单元的组合体，通过各超级壳单元相互之间连接结点处的位移连续和力平衡条件得到脱层壳的屈曲方程；最后由屈曲方程计算含内埋矩形脱层壳的屈曲载荷和屈曲模态。算例分析的结果验证了本方法的正确性，并给出了几种因素对屈曲载荷和屈曲模态的影响。     

基于混合变量的脱层壳屈曲分析

提出一种分析脱层圆柱壳稳定性问题的混合变量条形传递函数方法。首先基于一阶剪切理论，通过定义广义位移变量和对应的广义力变量，建立壳的改进的混合变量能量泛函；然后引入条形单元，对混合变量在环向进行离散，从而导出超级壳单元的混合变量能量泛函，由变分原理得到控制方程，采用传递函数方法得到其形式解；最后，将含环向贯穿脱层的复合材料层合壳作为超级壳单元的组合体，得到脱层壳的屈曲方程。给出了脱层大小和深度以及脱层壳边界条件对屈曲载荷的影响。     

壳层形态对核/壳结构PS/SiO_2复合磨料抛光性能的影响

以聚苯乙烯(PS)微球为内核,通过控制正硅酸乙酯的水解过程制备具有不同壳层形态的核/壳结构PS/SiO2复合磨料,应用于二氧化硅介质层的化学机械抛光,借助AFM测量抛光表面的形貌、轮廓曲线及粗糙度.SEM和TEM结果显示:碱性水解条件下,复合磨料的壳层由SiO2纳米颗粒组成(非连续壳层);酸性条件下,复合磨料的壳层则呈无定型网状(连续壳层).抛光对比试验结果表明:复合磨料的PS弹性内核有利于降低表面粗糙度并减少机械损伤,SiO2壳层则有利于提高材料去除率,复合磨料的核/壳协同效应对于提高抛光质量具有主要影响.相对于非连续壳层复合磨料,具有连续壳层的PS/SiO2复合磨料能够得到更低的抛光表面粗糙度值(RMS=0.136 nm),且在抛光过程中表现出了更好的结构稳定性.然而,PS/SiO2复合磨料的壳层形态对抛光速率的影响则不明显.     

双层环肋圆柱壳受多个物体撞击下的结构动响应

针对双层环肋圆柱壳受到多个物体的撞击问题，采用MSC.Dytran软件对受撞过程中的结构损伤变形、撞击力变化和能量转换进行数值模拟，并与模型试验相对比后发现:双层环肋圆柱壳结构同时受多物体撞击是一个瞬态动响应过程，在巨大瞬时冲击载荷作用下，受撞区壳板会迅速超越弹性变形而产生塑性变形；多物体撞击会造成外壳板一定区域的损伤变形，撞击力会相互干扰，导致其非线性特征更明显。结果表明，双层圆柱壳的外壳能对内壳起到较好的防护作用，在外壳没被撞穿的情况下，其结构变形会吸收绝大部分的撞击动能，可以通过优化外壳的吸能效率来达到双层壳体结构物内壳防撞的目的。     

高速碰撞下圆柱壳自由梁的穿孔特性

利用二级轻气炮加载，进行了球状2A12铝弹丸垂直撞击圆柱壳自由梁实验。并进行了弹丸速度、圆柱壳直径和壁厚等因素对穿孔直径影响的数值模拟，数值模拟结果和实验结果基本吻合。通过量纲分析和数值模拟结合，推导了穿孔直径与相关影响参数的经验关系式。研究结果表明:当圆柱壳直径和厚度不变时，高速撞击产生的穿孔直径在径向和轴向都随着弹丸速度增大而增大；当弹丸速度和圆柱壳厚度不变时，高速撞击产生的穿孔直径随着圆柱壳自由梁直径的增大而减小；当弹丸速度和圆柱壳直径不变时，穿孔直径随着圆柱壳厚度的增大而减小。     

Acoustic Radiation from a Finite Length Cylindrical Shell Excited by an Internal Acoustic Source: Solution Based on a Boundary Element Method and a Matched Asymptotic Expansion

This paper deals with acoustic radiation by a thin elastic shell, closed by two perfectly rigid discs, immersed in water and filled with air. The system is driven by an internal acoustic source. The shell has a length L, is clamped along one of its boundaries and is freely supported along the other boundary. Using the infinite domain Green's function, the radiated acoustic pressure is modeled by a hybrid layer potential (linear combination with nonreal coefficient of a simple layer and a double layer). Using Green's tensor of the in vacuo shell operator, the shell displacement is expressed as the sum of the field generated by the acoustic pressures and that due to boundary sources. Finally, the Green's function of the interior Neumann problem is used to express the acoustic pressure inside the shell in terms of the acoustic source and shell normal displacement: this representation fails for any frequency equal to one of the resonance frequencies of the shell interior. To overcome this, a light fluid approximation, which is allowed because the inner fluid is a gas, is adopted. Around each resonance frequency, an inner approximation is defined which matches the classical outer approximation. This revised version was published online in July 2006 with corrections to the Cover Date.     

Free vibration analysis of a hung clamped-free cylindrical shell partially submerged in fluid

The free flexural vibration of a hung clamped-free cylindrical shell partially submerged in a fluid is investigated. The fluid is assumed to be inviscid and irrotational. The cylindrical shell is modelled by using the Rayleigh-Ritz method based on Sanders’ shell theory. The kinetic energy of the fluid is derived by solving the boundary-value problem related to the fluid motion. The natural vibration characteristics of the partially submerged cylindrical shell are discussed with respect to the added virtual mass approach. In this study, the nondimensionalized added virtual mass incremental factor for the partially submerged finite shell is derived. This factor can be readily used to estimate the change in the natural frequency of the shell due to the presence of a fluid.     

Free vibration analysis of a finite circular cylindrical shell in contact with unbounded external fluid

The free flexural vibration of a finite cylindrical shell in contact with external fluid is investigated. The fluid is assumed to be inviscid and irrotational. The cylindrical shell is modeled by using the Rayleigh–Ritz method based on the Donnell–Mushtari shell theory. The fluid is modeled based on the baffled shell model, which is applied to fluid–structure interaction problems. The kinetic energy of the fluid is derived by solving the boundary-value problem. The natural vibration characteristics of the submerged cylindrical shell are discussed with respect to the added virtual mass approach. In this study, the nondimensionalized added virtual mass incremental factor for the submerged finite shell is derived. This factor can be readily used to estimate the change in the natural frequency of the shell due to the presence of the external fluid. Numerical results showed the efficacy of the proposed method, and comparison with previous results showed the validity of the theoretical results.     

变厚度圆柱壳的强度优化设计

对在任意轴对称分布荷载作用下体积保持常数的变厚度圆柱壳的强度优化设计问题进行了研究。当中面形状固定时 ,采用阶梯折算法 ,用传递矩阵导出了变厚度圆柱壳的初参数解的显式表达式。根据Huber-Mises-Hencky强度准则 ,将变厚度圆柱壳的强度优化转化为极小化当量应力的非线性规划问题 ,并采用投影梯度法建立了问题的优化方法。文中对几个典型问题进行了计算。与等厚度圆柱壳相比较 ,优化圆柱壳的最大当量应力得到了显著降低。本文的研究方法和结果可以用于指导大型圆柱壳体的加肋设计     

Stress Distribution in a Composite Cylindrical Shell with a Large Circular Opening

The stress–strain distribution in a composite deep cylindrical shell is analyzed. The shell is weakened by a circular opening and loaded by an axial force. The problem is solved by the variational difference method. The analysis is carried out for an orthotropic shell with low shear stiffness