Buckling analysis of embedded graphene oxide powder-reinforced nanocomposite shells

In this study, the buckling analysis of a Graphene oxide powder reinforced (GOPR) nanocomposite shell is investigated. The effective material properties of the nanocomposite are estimated through Halpin-Tsai micromechanical scheme. Three distribution types of GOPs are considered, namely uniform, X and O. Also, a first-order shear deformation shell theory is incorporated with the principle of virtual work to derive the governing differential equations of the problem. The governing equations are solved via Galerkin's method, which is a powerful analytical method for static and dynamic problems. Comparison study is performed to verify the present formulation with those of previous data. New results for the buckling load of GOPR nanocomposite shells are presented regarding for different values of circumfer-ential wave number. Besides, the influences of weight fraction of nanofillers, length and radius to thickness ratios and elastic foundation on the critical buckling loads of GOP-reinforced nanocomposite shells are explored.     

复合材料层合圆柱壳的动力响应与层间应力

采用分层壳理论和厚度方向的二次插值函数推导出正交铺设层合圆柱壳的动力响应方程,并得出简支层合圆柱壳自由振动问题的解.对于给定算例,计算出的自振频率与三维分析的结果吻合良好,说明所推导的二维解具有足够精度.计算了前四阶模态对应的壳中应力.计算结果说明,对于高阶模态,层间应力相对于面内应力的比值远高于低阶模态的对应比值,高的层间正应力是高阶模态导致脱层破坏的主要原因.     

基于混合变量传递函数方法的圆柱壳屈曲分析

提出了一种分析正交各向异性圆柱壳和阶梯圆柱壳稳定性问题的混合变量传递函数方法。首先在壳体环向利用三角级数对位移变量进行展开 ,利用Fl櫣ｇｇｅ薄壳理论和变分原理 ,建立圆柱壳的平衡方程 ,找出对偶力变量 ,将平衡方程写成混合变量形式 ;通过定义混合状态变量 ,建立了系统的状态空间方程 ;然后利用传递函数方法 ,得到了具有任何轴对称边界条件轴压圆柱壳屈曲问题的解析解 ;最后通过位移连续和力平衡条件 ,得到了阶梯圆柱壳屈曲问题的解。理论解推导过程表明此方法在引入边界条件和进行阶梯圆柱壳求解时非常方便。算例分析的结果验证了本方法的正确性     

装备外壳结构周期设计及其振动特性

将声子晶体能带理论应用于装备外壳结构设计,把装备外壳圆柱壳段设计成周期结构。基于多子结构的双协调自由界面模态综合法,计算并对比了周期圆柱壳与非周期圆柱壳对弯曲振动的衰减特性。结果表明,周期圆柱壳中有弯曲振动强衰减带隙存在,而非周期结构中则没有带隙存在。进一步研究了轴向周期复合夹层材料圆柱壳的弯曲振动特性。同样,该周期复合夹层结构中依然有弯曲振动带隙存在,且在带隙频率范围内弯曲振动传播将受到明显的抑制。最后,考虑实际装备外壳形状,研究了含周期结构圆柱段的复杂装备外壳振动特性。研究表明,经过局部周期设计的复杂装备外壳保持了带隙特性,这说明了将能带理论应用于工程实际装备外壳的振动控制具有可行性。     

圆柱壳在轴向压力作用下的稳定性和振动特性

利用Hamilton原理得出轴向压力作用下圆柱壳位移增量的动力学方程,推导了方程的解析解。通过数值计算,分析了轴向压力作用下圆柱壳的临界屈曲压力随壳体长度变化的曲线,讨论了壳体几何参数(L,h)变化和轴向力幅值变化对振动频率影响的变化曲线。数值计算结果表明,圆柱壳的临界屈曲压力与失稳模态紧密相关;圆柱壳的自振频率随壳体的长度增加而下降,随壳体的厚度增加而提高;圆柱壳的自振频率和最低频率随轴向压力的增大而下降。     

Size dependent free vibration analysis of functionally graded piezoelectric micro/nano shell based on modified couple stress theory with considering thickness stretching effect

Higher-order shear and normal deformation theory is used in this paper to account thickness stretching effect for free vibration analysis of the cylindrical micro/nano shell subjected to an applied voltage and uniform temperature rising. Size dependency is included in governing equations based on the modified couple stress theory. Hamilton's principle is used to derive governing equations of the cylindrical micro/nano shell. Solution procedure is developed using Navier technique for simply-supported boundary conditions. The numerical results are presented to investigate the effect of significant parameters such as some dimensionless geometric parameters, material properties, applied voltages and temperature rising on the free vibration responses.     

相空间有限元方法在解二维中子输运方程中的应用

本文采用相空间有限元方法求解了柱形临界多群中子输运问题。其中对于方程中的坐标变量用分片连续线性多项式作为试探函数,对于方程中的角度变量用分片连续双线性多项式作为试探函数。整个求解空间区域和角度区域分别采用三角形和矩形单元划分,然后利用迦辽金方法得到一个以网格点处角通量为未知数的线性联立代数方程组,方程组中的系数矩阵的存储采用了压缩存储技术。最后用高斯消元法解此有限元方程组,表明相空间有限元方法计算收敛性较好、计算精度高。     

均匀外压下纵横加筋曲板和圆柱壳的稳定性

建立了纵横加筋圆柱曲板和圆柱壳的弹性稳定性临界压力公式．对文献中关于大直径环肋薄壳的异常及潜艇实肋板带纵骨式耐压液舱壳板的稳定性进行了计算,并探讨筋条的偏心、纵筋数目的奇偶性对壳体稳定性的影响     

The deformation and failure mechanism of cylindrical shell and square plate with pre-formed holes under blast loading

The deformation and failure mechanism of cylindrical shells and square plate with pre-formed holes under blast loading were investigated numerically by employing the Ansys 17.0 and Ls-Dyna 971. To calibrate the numerical model, the experiments of square plates with pre-formed circle holes were modeled and the numerical results have a good agreement with the experiment data. The calibrated numerical model was used to study the deformation and failure mechanism of cylindrical shells with pre-formed circle holes subjected to blast loading. The structure response and stress field changing process has been divided into four specific stages and the deformation mechanism has been discussed systematically. The local and global deformation curves, degree of damage, change of stress status and failure modes of cylindrical shell and square plate with pre-formed circular holes are obtained, compared and analyzed, it can be concluded as: (1) The transition of tensile stress fields is due to the geometrical characteristic of pre-formed holes and cylindrical shell with arch configuration; (2) The existence of pre-formed holes not only lead to the increasing of stress concentration around the holes, but also release the stress concentration during whole response process; (3) There are three and two kinds of failure modes for square plate and cylindrical shell with pre-formed holes, respectively. and the standoff distance has a key influence on the forming location of the crack initiating point and the locus of crack propagation; (4) The square plate with pre-formed holes has a better performance than cylindrical shell on blast-resistant capability at a smaller standoff distance, while the influence of pre-formed holes on the reduction of blast-resistant capability of square plate is bigger than that of cylindrical shell.     

锥形液膜的Kelvin-Helmholtz扰动波

为进行锥形液膜雾化过程分析,研究锥形液膜的Kelvin-Helmholtz稳定性问题,应用小扰动假设,建立了锥形液膜数学模型、轴对称扰动运动的控制方程和边界条件,采用分离变量法求解线性偏微分扰动方程组,经过严格的数学推导,得到了锥形液膜内外表面扰动波增长速率特征方程.当液膜锥角为零时,与环形液膜扰动波特征方程一致;当液膜锥角和液膜内径为零时,与圆射流扰动波特征方程一致,表明导出的锥形液膜扰波动方程是合理的.     

轴向冲击载荷下圆柱壳的塑性动力屈曲

对于轴向冲击载荷下圆柱壳的轴对称塑性动力屈曲问题,将临界应力和屈曲惯性项指数参数作为双特征参数求解.由相邻平衡准则导出失稳控制方程、边界条件和波阵面上的连续条件.由失稳瞬间的能量转换和守恒准则,导出波阵面上的一个屈曲变形约束方程.由此得出定量求解2个特征参数和动力屈曲模态的完备定解条件.关于屈曲应力和屈曲波数的理论计算结果与已有实验吻合良好.     

圆柱壳受均布任意冲击速度时的塑性动力屈曲研究

本文首先讨论了王仁等提出的结构塑性动力屈曲的能量准则,将其含义作了某种延伸,使之适用于直接屈曲以外其它类型的动力屈曲。然后,用推广了的能量准则讨论任意冲击速度下圆柱壳的塑性动力屈曲。已有的有关圆柱壳径向冲击屈曲结果可归结为本文特例。     

在爆炸载荷作用下固支梁或筒形弯曲板的塑性动态断裂

本文运用刚塑性分析方法研究了在爆炸载荷作用下固支梁的全塑性动态断裂过程。在爆炸载荷作用下,固支梁将首先在固支端进入塑性变形,当固支端塑性铰转角达到其临界值,或固支端处初始裂纹尖端张开位移达到其临界值时(如果固支端有初始裂纹的话),固支端将产生开裂和裂纹扩展。本文解给出了在动态断裂过程中固支梁裂纹扩展长度、裂纹扩展速度以及梁的轴向约束力随时间变化的规律,并给出了不同载荷幅值下梁的启裂条件和止裂条件以及最终裂纹扩展长度和最大挠度。该分析解也适用于固支筒形弯曲板的断裂问题。     

圆柱壳体振动特性研究与有限元计算验证

采用解析理论和有限元方法研究计算了圆柱壳体的固有频率与固有振型,发现环向封闭的圆柱壳具有同一节点形式的两种固有振型,对应两种固有振型的固有频率值相同。     

悬空管道固有频率的计算

在地质灾害作用下，输油管道下方的土层下陷或流失会造成管道悬空。当悬空管道发生弯曲变形时，两端埋地管道要对悬空管道产生影响。利用埋设段和悬空管道的受力平衡条件联立求解出两段管道的弯曲变形，并且讨论了不同土壤刚度和管道轴向力条件下悬空管道振动的固有频率，并和工程上推荐使用的简支梁和两端固支梁的静动态特性进行比较。管道大幅振动或共振是管道破坏的重要原因，准确计算悬空管道的固有频率，对悬空管道的静力分析、振动分析以及输油管道的完整性评价都有非常重要的意义。     

Micromechanical simulation and experimental investigation of aluminum-based nanocomposites

Ceramic reinforced metal matrix nanocomposites are widely used in aerospace and auto industries due to their enhanced mechanical and physical properties. In this research, we investigate the mechanical properties of aluminum/Nano-silica composites through experiments and simulations. Aluminum/Nano-silica composite samples with different weight percentages of silica nanoparticles are prepared via powder metallurgy. In this method, Nano-silica and aluminum powders are mixed and compressed in a mold, followed by sintering at high temperatures. Uniaxial tensile testing of the nanocomposite samples shows that adding one percent of Nano-silica causes a considerable increase in mechanical properties of nanocomposite compared to pure aluminum. A computational micromechanical model, based on a representative volume element of aluminum/silica nanocomposite, is developed in a commercial finite element software. The model employs an elastoplastic material model along with a ductile damage model for aluminum matrix and linear elastic model for nano-silica particles. Via careful determination of model parameters from the experimental results of pure aluminum samples prepared by powder metallurgy, the proposed computational model has shown satisfactory agreement with experiments. The validated computational model can be used to perform a parametric study to optimize the micro-structure of nanocomposite for enhanced mechanical properties.     

加肋圆柱壳结构的FE-IE算法网格尺度划分原则

为了研究结构有限元耦合流体无限元算法的网格尺度划分原则,提出有限元-无限元算法中结构湿表面的网格尺度划分原则。数值计算结果表明,对加肋圆柱壳而言,在保证一个肋骨间距至少有2个有限元单元的前提下,将结构主振型弯曲波波长作为有限元-无限元算法中结构湿表面网格尺度划分的参考标准是可行的,即保证一个主振型分量波长内至少有6个有限元单元。提出以结构主振型分量的弯曲波波长(而不是最短的结构波长)作为有限元-无限元算法中网格尺度划分的参考标准,所得结论对于有限元-无限元算法中结构湿表面的网格划分以及控制内域流体有限元数量均具有十分重要的参考意义。     

Numerical investigation of the failure mechanism of cubic concrete specimens in SHPB tests

Cylindrical specimens are commonly used in Split Hopkinson pressure bar (SHPB) tests to study the uniaxial dynamic properties of concrete-like materials.In recent years,true tri-axial SHPB equipment has also been developed or is under development to investigate the material dynamic properties under tri-axial impact loads.For such tests,cubic specimens are needed.It is well understood that static material strength obtained from cylinder and cube specimens are different.Conversion factors are obtained and adopted in some guidelines to convert the material strength obtained from the two types of specimens.Previous uniaxial impact tests have also demonstrated that the failure mode and the strain rate effect of cubic specimens are very different from that of cylindrical ones.However,the mechanical background of these findings is unclear.As an extension of the previous laboratory study,this study performs numerical SHPB tests of cubic and cylindrical concrete specimens subjected to uniaxial impact load with the validated numerical model.The stress states of cubic specimens in relation to its failure mode under different strain rates is analyzed and compared with cylindrical specimens.The detailed analyses of the numerical simulation results show that the lateral inertial confinement of the cylindrical specimen is higher than that of the cubic specimen under the same strain rates.For cubic specimen,the corners are more severely damaged because of the lower lateral confinement and the occurrence of the tensile radial stress which is not observed in cylindrical specimens.These results explain why the dynamic material strengths obtained from the two types of specimens are different and are strain rate dependent.Based on the simulation results,an empirical formula of conversion factor as a function of strain rate is proposed,which supplements the traditional conversion factor for quasi-static material strength.It can be used for transforming the dynamic compressive strength from cylinders to cubes obtained from impact tests at different strain rates.     

非均匀径向冲击下圆柱壳塑性动屈曲

本文采用王仁等提出的塑性动力屈曲的能量准则讨论了圆柱壳在不均匀的外部径向冲击下的塑性动屈曲问题,获得了屈曲的占优波数公式及临界冲击速度公式。经过初步实验,证明本文的结论是合理的,并进一步证实了该能量准则的有效性。