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.     

复合材料组合梁的分布参数传递函数法分析模型

应用分布参数传递函数法分析了复合材料组合梁在轴压载荷作用下的振动与稳定性问题。通过引入对偶变量，利用Ｌｅｇｒｅｎｄｒｅ 变换和Ｌａｐｌａｃｅ 变换，建立了可进入Ｈａｍ ｉｌｔｏｎ 体系的混合能量变分原理，并推导出了结构在复频域内的状态空间控制方程， 从而得到了任意边界条件下组合梁振动与稳定性问题的传递函数精确解。分析了一阶和高阶横向剪切变形、转动惯量、细长比、材料各向异性等多种因素对组合梁固有频率和屈曲载荷的影响。文中最后给出了数值算例， 验证了本方法的有效性和适应性。     

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.     

非局部薄板动力学特性分析的广义有限积分变换方法

基于应力梯度非局部薄板理论模型,推导了非局部薄板动力学特性求解的广义有限积分变换方法.通过选取适应边界条件的积分核函数并构建广义积分变换对,应用积分变换将非局部薄板的高阶偏微分方程变换成线性方程组,直接求解得到固有频率.将广义有限积分变换方法的计算结果和有限元法及已有文献的结果进行对比,验证了本文方法的正确性.在此基础...     

黏弹性基体中挠曲电Timoshenko纳米梁振动特性分析

以黏弹性基体中的Timoshenko纳米梁为研究对象,综合考虑非局部效应、压电效应和挠曲电效应的影响,基于哈密顿原理建立了系统的振动控制方程和相应的边界条件,给出了两端简支边界条件下挠曲电纳米梁控制方程的求解方法,系统地研究了非局部参数、挠曲电系数以及黏弹性基体对挠曲电纳米梁振动特性的影响规律。结果表明:横向挠曲电系数能显著增加挠曲电纳米梁的结构刚度,而非局部效应和切向挠曲电系数则会降低系统的结构刚度。此外,通过研究黏弹性基体的影响规律,可得到挠曲电纳米梁不再发生往复振动时对应的黏弹性基体临界阻尼系数。相关研究结果可为挠曲电纳米梁在俘能器中的推广应用提供理论基础。     

磁场环境下黏弹性基体中非局部纳米梁动力学特性分析

根据非局部Euler梁理论建立了外部磁场影响下的黏弹性基体上纳米梁的动力学问题分析模型。通过引入Kelvin黏弹性地基模型和洛伦兹力,得到了纳米梁的振动控制方程。基于Kelvin-Voigt黏弹性模型,给出了黏弹性基体上纳米梁在磁场影响下的固有频率解析解,并就多种典型情况进行了分析。在一般情况下,利用传递函数方法对振动控制方程进行求解,得到了纳米梁固有频率及相应振型的封闭解。以某单壁碳纳米管为例,计算得到了多种边界条件下纳米梁的前三阶固有频率,并详细分析了非局部参数、磁场强度、长细比、阻尼系数及边界条件等因素对纳米梁振动特性的影响情况。结果表明,文中所建的动力学分析模型对研究磁场作用下纳米梁在黏弹性基体上的动力学特性问题准确有效。     

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。     

黏弹性基底上阻尼碳纳米管的动力学特性

采用欧拉梁模型建立了有阻尼碳纳米管在黏弹性基底上的动力学问题分析模型。通过引入非局部理论、广义Maxwell黏弹性模型、速度相依的外阻尼模型及黏弹性基底模型推导出碳纳米管动力学分析的欧拉梁振动控制方程。在Kelvin-Voigt黏弹性模型基础上,分别给出无基底和全基底支撑时碳纳米管固有频率的一般解析表达式,并分析讨论全基底时的多种典型情况。然后利用传递函数方法求解出一般边界条件下振动控制方程的封闭解。以某单壁碳纳米管为例,得到不同边界条件下该单壁碳纳米管的前四阶固有频率,并分析了碳纳米管非局部参数、黏弹性参数、基底刚度及长度等影响因素对固有频率和阻尼因子的影响情况。结果表明,文中所建的动力学分析模型及计算方法对解决碳纳米管在黏弹性基底上的动力学问题准确有效。     

复合材料圆锥壳稳定性分析的传递函数法

基于线弹性小变形理论， 利用Ｆｏｕｒｉｅｒ级数展开、Ｌａｐｌａｃｅ 变换和摄动方法， 建立了复合材料薄壁圆锥壳的静力响应、频率响应、自由振动与屈曲特征值问题的渐近传递函数解。构造了复杂边界条件、中间带支撑、变锥度及阶梯变厚度圆锥壳的传递函数解。数值计算结果表明该方法具有很高的计算精度。     

基于ANSYS的大型复合材料风力机叶片结构分析

基于ANSYS软件,对某款应用于GL3A风场的1500kW大型复合材料风力机叶片进行了结构分析。分析结果表明:该叶片的振型以一阶挥舞和一阶摆振为主,其频率分别为0.86Hz和1.59Hz;在极限挥舞载荷作用下,该叶片有限元模型计算得到的叶尖挠度为8.445m,而该叶片全尺寸静力试验得到的极限挥舞载荷作用下的叶尖挠度为8.12m,计算值与试验值的误差只有3.8%;另外,该叶片的最大计算拉应力和压应力分别为228MPa和201MPa,而该叶片玻纤/环氧复合材料实测拉伸强度和实测压缩失稳强度分别为720MPa和380MPa,其计算最大应力只有对应实测极限强度的31.7%和52.9%。     

Modified couple stress and thickness-stretching included formulation of a sandwich micro shell subjected to electro-magnetic load resting on elastic foundation

This paper studies electromagnetoelastic static investigation of a sandwich doubly curved microshell subjected to multi-field loading based on a new thickness stretching included refined higher order shear/normal deformable model. Modified-couple-stress-theory (MCST) is used for accounting small-scale-dependency. The numerical results are derived using an analytical method. The effect of small scale parameter in micro scale, initial electric and magnetic potentials and foundation parameters is studied on the electromagnetoelastic bending results. It is confirmed an enhancing in stiffness of small scale shell with an increase in micro length scale parameter.     

脱层壳屈曲的一阶剪切理论

脱层的存在将会大大降低层合结构的屈曲载荷。本文将含任意位置环向贯穿脱层的轴压圆柱壳分成多段子壳 ,用厚度的一次多项式模拟脱层壳屈曲时子壳的轴向和环向位移 ,利用变分原理导出了脱层壳的屈曲方程和定解条件 ,并用状态空间方法进行求解。通过与经典理论的比较 ,指出了它们各自的适用范围 ;考虑脱层壳的三种不同屈曲模态 ,分析了边界条件、脱层长度、深度对脱层壳屈曲载荷的影响 ;最后给出了正交各向异性脱层壳的屈曲分析     

Bending and stress analysis of polymeric composite plates reinforced with functionally graded graphene platelets based on sinusoidal shear-deformation plate theory

The bending and stress analysis of a functionally graded polymer composite plate reinforced with gra-phene platelets are studied in this paper. The governing equations are derived by using principle of virtual work for a plate which is rested on Pasternak's foundation. Sinusoidal shear deformation theory is used to describe displacementfield. Four different distribution patterns are employed in our analysis. The analytical solution is presented for a functionally graded plate to investigate the influence of important parameters. The numerical results are presented to show the deflection and stress results of the problem for four employed patterns in terms of geometric parameters such as number of layers, weight fraction and two parameters of Pasternak's foundation.     

剪切变形对夹芯复合材料悬臂箱梁挠度的影响

为了分析剪切变形对夹芯复合材料悬臂箱梁挠度的影响,推导了夹芯复合材料薄壁箱梁的等效弯曲刚度和剪切刚度,将夹芯复合材料悬臂箱梁等效为具有等跨度等刚度的均质箱梁;利用初等梁理论得到了考虑剪切变形的夹芯复合材料悬臂箱梁的挠曲线方程;分析了剪切变形对夹芯复合材料薄壁箱梁挠度的影响,为复合材料薄壁箱梁的设计提供了理论参考.     

超空泡水下航行体振动特性分析

用有限元方法分析了超空泡水下航行体的固有特性,计算了自由边界条件下超空泡航行体的振动特性,求出了固有频率和模态,并选取对其结构性能有重要影响的四类模态,即梁弯曲模态、呼吸模态、径向模态和轴向弯曲模态绘制了三维模态图.研究表明,超空泡水下航行体无阻尼自由振动的首阶模态为梁弯曲模态;呼吸模态发生的初始频率较高;径向模态发生的初始频率较低;轴向弯曲模态发生的频率比较集中,变形较为复杂.所得结果为今后开展进一步的超空泡航行体结构动力学研究提供了模型基础.     

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.     

A higher order coupled frequency characteristics study of smartmagneto-electro-elastic composite plates with cut-outs using finite element methods

This article deals with investigating the effect of cut-outs on the natural frequencies of magneto-electro-elastic (MEE) plates incorporating finite element methods based on higher order shear deformation theory (HSDT). In order to consider the influence of cut-out, the energy of the cut-out domain is sub-tracted from the total energy of the entire plate. The governing equations of motions are derived through incorporating Hamilton's principle and the solution is obtained using condensation technique. The proposed numerical formulation is verified with the results of previously published literature as well as the numerical software. In addition, this research focuses on evaluating the effect of geometrical skewness and boundary conditions on the frequency response. The influence of cut-outs on the degree of coupling between magnetic, electric and elasticfields is also investigated.     

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.     

Strain concentration caused by the closed end contributes to cartridge case failure at the bottom

Ruptures at the bottom of cartridges are a common cause of failure of ammunitions, which directly threatens the safety of weapons and shooters. Based on plastic tube theory, this study analyses the radial and axial deformation of a cartridge, considering the radial constraint of the closed end at the bottom of the cartridge. Owing to the influence of the closed end, the bottom of a cartridge does not establish complete contact with the chamber. Owing to strain concentration in the non-contact area, this area is more amenable to the occurrence of cartridge rupture. This theory predicts the location of the fracture more accurately than the traditional theory. The maximum axial deformation of a cartridge comprises bending and friction deformation. The maximum strain at the bottom of the cartridge increased by 135% owing to the introduction of bending strain caused by the closed end. The strain distribution of a cartridge was measured using digital image correlation technology, and the measured result was consistent with the predicted results of the bending deformation theory and rupture case. The effects of wall thickness, radial clearance, friction coefficient, and axial clearance on the axial deformation of the cylinder were studied. Increasing the wall thickness and reducing radial clearance were found to reduce bending deformation; furthermore, lubrication and reduction in axial clearance reduce frictional deformation, which in turn reduce cartridge rupture.     

一个分析与计算曲面结构的有效方法

给出了一种分析计算CAD曲面模型的数值方法。该方法将构成CAD模型的曲面片视作计算单元(面素单元),建立各面素单元的控制方程,再结合CAD曲面模型的流形特征组装各个单元控制方程以求整体解。面素单元的控制方程可根据问题的求解目标分别利用有限元—边界元耦合、有限元—无单元及其他耦合形成。结合线弹性问题的求解,系统地介绍了面素单元法的单元划分与处理、单元控制方程建立等核心环节。还给出了一个分析三倒圆过渡面静载荷变形的实例及其与ANSYS对照的结果。