Buckling of composite cylindrical shells with ovality and thickness variation subjected to hydrostatic pressure

The initial geometric imperfection is one of the primary factors affecting the buckling behaviors of composite cylindrical shells under hydrostatic pressure.In this study,ovality and thickness variations as two representative types of the geometric imperfections are considered.After measuring the geometric imperfections,a typical carbon fiber reinforced polymers(CFRP)cylindrical shell is tested to obtain the buckling pressure.The buckling behaviors of the shell sample are analyzed in combination with the strain responses.By using the nonlinear numerical analysis,the buckling shapes of the CFRP cylinder shells with different combinations of ovality and thickness variation are firstly discussed.The rules of influence of such imperfections on the buckling pressure are then obtained by nonlinear regression method.Finally,an empirical formula is proposed to predict the buckling pressure of the composite cylinder shells,and the calculated results from the formula are in good agreement with the numerical results.

Transient impact responses of laminated composite cylindrical shells

The generalized ray method(GRM) has been successfully used to study the transient elastic wave transmitting in the beams,planar trusses,space frames and infinite layered media.In this letter,the GRM is extended to investigate the early short time transient responses of laminated composite cylindrical shells under impact load.By using the Laplace transformation and referring to the boundary conditions,the ray groups transmitting in the finite laminated cylindrical shells under the shock load are obtained and the transient response related to each ray group can be derived via FFT algorithm.From the numerical results,it is shown that the early short time transient accelerations of the laminated composite cylindrical shell under impact loads are very large.But the short time transient shear strain and displacement are very small.

Nonlinear stability of advanced sandwich cylindrical shells comprising porous functionally graded material and carbon nanotube reinforced composite layers under elevated temperature

The nonlinear stability of sandwich cylindrical shells comprising porous functionally graded material(FGM) and carbon nanotube reinforced composite(CNTRC)layers subjected to uniform temperature rise is investigated. Two sandwich models corresponding to CNTRC and FGM face sheets are proposed. Carbon nanotubes(CNTs) in the CNTRC layer are embedded into a matrix according to functionally graded distributions. The effects of porosity in the FGM and the temperature dependence of properties of all constituent materials are considered. The effective properties of the porous FGM and CNTRC are determined by using the modified and extended versions of a linear mixture rule, respectively. The basic equations governing the stability problem of thin sandwich cylindrical shells are established within the framework of the Donnell shell theory including the von K’arm’an-Donnell nonlinearity. These equations are solved by using the multi-term analytical solutions and the Galerkin method for simply supported shells.The critical buckling temperatures and postbuckling paths are determined through an iteration procedure. The study reveals that the sandwich shell model with a CNTRC core layer and relatively thin porous FGM face sheets can have the best capacity of thermal load carrying. In addition, unlike the cases of mechanical loads, porosities have beneficial effects on the nonlinear stability of sandwich shells under the thermal load. It is suggested that an appropriate combination of advantages of FGM and CNTRC can result in optimal efficiency for advanced sandwich structures.

NONLINEAR THEORY OF DYNAMIC STABILITY FOR LAMINATED COMPOSITE CYLINDRICAL SHELLS

Hamilton principle war used to derive the general governing equations of nonlinear dynamic stability far laminated cylindrical shell in which, factors of nonlinear large deflection, transverse shear and longitudinal inertia force were concluded. Equations were salved by variational method. Analysis reveals that under the action of dynamic load, laminated cylindrical shells will fall into a store of parametric resonance and enter into the dynamic unstable region that causes dynamic instability of shells. Laminated shells of three typical composites were computed : i.e. T300/5 208 graphite epoxy E-glass epoxy, and ARALL shells. Results show that all factors will induce important influence for dynamic stability of laminated shell. So, in research of dynamic stability for laminated shells, to consider these factors is important.

Analysis of energy release rate for composite delaminated cylindrical shells subjected to axial compression

In this paper, the postbuckling governing equations and the analytical expression of the energy release rates associated with delamination growth in a compression-loaded cylindrical shell are derived by using the variational principle of moving boundary and the Griffith fracture criterion. The finite difference method is used to generate the postbuckling solutions of the delaminated cylindrical shells, and with these solutions, the values of the energy release rates are determined. In simulational examples, the effects of a wide range of parameters, such as delamination sizes and depths, boundary conditions, geometrical parameters, material properties and laminate stacking sequences on the energy release rates of axisymmetrical laminated cylindrical shells are intensively discussed.

Delamination growth for composite laminated cylindrical shells under external pressure

The delamination growth may occur in delaminated cylindrical shells＇under external pressure. This will lead to failure of structure. By using the variational principle of moving boundary and considering the contact effect between delamination regions, in this work, the delamination growth was investigated for cylindrical shells under the action of external pressure. At the same time, according to the Griffith criterion, the formulas of energy release rate along the delamination front were obtained. In the numerical calculation, the delamination growth of axisymmetrical laminated cylindrical shells was analyzed, and the effects of delamination sizes and depths, the geometrical parameters, the material properties, and the laminate stacking sequences on delamination growth were discussed.

Nonlinear Dynamic Buckling of Damaged Composite Cylindrical Shells

Based on the first order shear deformation theory(FSDT), the nonlinear dynamic equations involving transverse shear deformation and initial geometric imperfections were obtained by Hamilton's philosophy. Geometric deformation of the composite cylindrical shell was treated as the initial geometric imperfection in the dynamic equations, which were solved by the semi-analytical method in this paper. Stiffness reduction was employed for the damaged sub-layer, and the equivalent stiffness matrix was obtained for the delaminated area. By circumferential Fourier series expansions for shell displacements and loads and by using Galerkin technique, the nonlinear partial differential equations were transformed to ordinary differential equations which were finally solved by the finite difference method. The buckling was judged from shell responses by B-R criteria, and critical loads were then determined. The effect of the initial geometric deformation on the dynamic response and buckling of composite cylindrical shell was also discussed, as well as the effects of concomitant delamination and sub-layer matrix damages.

BUCKLING AND POSTBUCKLING OF LAMINATED THIN CYLINDRICAL SHELLS UNDER HYGROTHERMAL ENVIRONMENTS

The influence of hygrothermal effects on the buckling and postbuckling of composite laminated cylindrical shells subjected to axial compression is investigated using a micro-to-macro-mechanical analytical model. The material properties of the composite are affected hy the variation of temperature and moisture, and are hosed on a micromechanical model of a laminate. The governing equations are based on the classical laminated shell theory, and including hygrothermal effects. The nonlinear prebuckling deformations and initial geometric imperfections of the shell were both taken into account. A boundary layer theory of shell buckling was extended to the case of laminated cylindrical shells under hygrothermal environments, and a singular peturbation technique was employed to determine buckling loads and postbuckling equilibrium paths. The numerical illustrations concern the postbuckling behavior of perfect and imperfect, cross-ply laminated cylindrical shells under different sets of environmental conditions. The influences played by temperature rise, the degree of moisture concentration, fiber volume fraction, shell geometric parameter, total number of plies, stacking sequences and initial geometric imperfections are studied.

Wave transmission through laminated composite double-walled cylindrical shell lined with porous materials

A study on free harmonic wave propagation in a double-walled cylindrical shell, whose walls sandwich a layer of porous materials, is presented within the framework of the classic theory for laminated composite shells. One of the most effective components of the wave propagation through the porous core is estimated with the aid of a flat panel with the same geometrical properties. By considering the effective wave component, the porous layer is modeled as a fluid with equivalent properties. Thus, the model is simplified as a double-walled cylindrical shell trapping the fluid media. Finally, the transmission loss （TL） of the structure is estimated in a broadband frequency, and then the results are compared.

Axial impact response of composite cylindrical shell

Following Love's shell theory and classical lamination theory, governing equation of composite cylindrical shell in the axisymmetric deformation was established with radial displacements expressed in terms of Fourier series, and numerical results given for axial impact response of laminated shell with simple support will be used to further study of dynamic stability of composite shell.

Dynamic Structure-Fluid Interaction Response of a Composite Cylindrical Shell Submerged in Water

This paper analyzes the dynamic structure-fluid interaction response of a submerged composite cylindrical shell. Dynamic equations based on the first-order shear deformation theory include the initial stresses and structure-fluid interaction forces due to fluid. The field equation is solved by expanding the velocity potential into series similar to transverse deflection of the cylindrical shell and the structure-fluid interaction force is obtained. The dynamic response is investigated by means of series expansion method. The effects of structure-fluid interaction on dynamic response are discussed.

STACKING SEQUENCE OPTIMIZA-TION OF LAMINATED COMPOSITE CYLINDER SHELL FOR MAXIMAL BUCKLING LOAD

A new optimization method for the optimization of stacking of composite glass fiber laminates is developed. The fiber orientation and angle of the layers of the cylindrical shells are sought considering the buckling load. The proposed optimization algorithm applies both finite element analysis and the mode-pursuing sampling （MPS）method. The algorithms suggest the optimal stacking sequence for achieving the maximal buckling load. The procedure is implemented by integrating ANSYS and MATLAB. The stacking sequence designing for the symmetric angle-ply three-layered and five-layered composite cylinder shells is presented to illustrate the optimization process, respectively. Compared with the genetic algorithms, the proposed optimization method is much faster and efficient for composite staking sequence plan.

复合材料修复内壁减薄柱壳承载能力试验与数值研究

为解决水下由于腐蚀导致内壁减薄柱壳易失稳的问题,开展复合材料修复内壁减薄柱壳承载能力试验及数值研究。本研究通过制作初始柱壳和不同减薄程度的修复柱壳模型,进行静水压力试验,并利用非线性数值分析方法研究修复柱壳的屈曲机理以及修复参数对修复柱壳承载能力的影响规律。结果表明:经复合材料修复后的减薄柱壳能有效恢复承载能力,且修复厚度对性能提升具有显著影响。但当修复参数达到一定阈值时,承载能力趋于稳定。该研究结果对于指导和推动复合材料修复水下设备的应用研究有重要的参考价值。

功能梯度石墨烯增强多孔复合材料阶梯圆柱壳的振动特性

对功能梯度石墨烯增强多孔复合材料(FG-GPLRPC)阶梯圆柱壳的振动特性进行了研究。首先,采用Halpin-Tsai微观力学模型以及开胞体理论得到FG-GPLRPC阶梯圆柱壳的有效材料属性。其次,基于一阶剪切变形理论和惩罚参数法推导出壳体结构的能量表达式。最后,采用Jacobi-Ritz法建立壳体结构的振动控制方程,并求得结构的无量纲频率,验证了方法的有效性和正确性。结果表明,石墨烯质量分数、孔隙系数和边界弹簧刚度值对振动特性的影响显著,层数对振动特性的影响较小,尺寸参数对振动特性的影响不同,并得到了壳体频率随周向波数先减小后增大的变化规律。

复合材料环支撑圆柱壳结构振动特性分析研究

该文基于一阶剪切变形理论,结合波动法,构建了不同边界条件下环支撑复合材料圆柱壳结构振动特性分析模型。结合波函数形式为位移变量,对位移比例参数、位移矩阵和力参数矩阵进行设置。通过结合边界条件矩阵,对环支撑条件下复合材料圆柱壳结构的总体控制方程进行推导。通过与现有文献结果进行对比,验证所建立的振动特性分析模型的准确性。开展了相关参数化分析研究,探讨了材料参数、几何参数以及环支撑位置的影响情况。

面芯脱粘缺陷对复合材料夹芯圆柱壳屈曲特性影响分析

面芯脱粘是复合材料夹芯结构常见的损伤形式。本工作综合考虑面芯界面损伤演化、分层屈曲以及分层扩展的耦合作用,建立了深水静压载荷下复合材料夹芯圆柱壳极限承载能力预报方法。基于非线性极限载荷计算方法,通过预制初始缺陷,开展了含面芯脱粘缺陷复合材料夹芯圆柱壳屈曲特性分析,揭示了典型面芯脱粘缺陷对复合材料夹芯圆柱壳失效模式及极限承载的影响机理,得到不同面芯脱粘形式、脱粘尺寸、脱粘位置的影响规律。研究发现,随贯穿面芯脱粘长度增加,结构失效模式发生整体屈曲→混合屈曲→局部屈曲演化;外蒙皮/芯层面芯脱粘对含环向贯穿面芯脱粘复合材料夹芯圆柱壳极限承载敏感度更高,内蒙皮/芯层界面脱粘对含纵向贯穿面芯脱粘缺陷复合材料夹芯圆柱壳极限承载敏感度更高;对于多个局部圆形面芯脱粘,沿纵向分布越集中、沿环向分布越离散,结构极限承载损失率越高。研究成果对面芯脱粘缺陷复合材料夹芯圆柱壳的优化设计与可靠性评估具有很好的指导意义。

基于正交试验的新型复合材料圆柱壳结构优化设计

新型复合材料圆柱壳结构——金属箍增强复合材料圆柱结构(HRCC)由复合材料壳体,两端内、外金属套筒及中部的内、外金属箍等组成,为使其获得更高的承载效率,对内、外金属箍几何尺寸和间距进行了优化设计。首先通过试验对有限元计算的准确性进行了验证;然后将内、外金属箍宽度、厚度及金属箍间距作为独立因素,以HRCC的承载效率为优化目标,基于有限元方法设计了多因素、多水平正交试验;最后利用极差分析法对正交试验进行影响权重分析,得到最优参数组合,并重新建模进行有限元模拟。结果表明,优化后的HRCC承载效率提高了10.2%。

功能梯度三相复合材料圆柱壳固有振动特性分析

本文以一种石墨烯与碳纤维协同增强三相复合材料圆柱壳为研究对象,研究了在任意边界条件下该新型功能梯度三相复合材料圆柱壳的自由振动特性.首先,基于一阶剪切变形理论、Von-Karman几何非线性关系和Hamilton原理,推导了三相复合材料圆柱壳结构运动控制方程.然后,应用Galerkin法离散求解三相复合材料圆柱壳的固有频率和模态振型.最后通过将本文方法与Abaqus仿真结果进行对比,验证了本文方法的准确性.此外,本文进一步分析了石墨烯质量分数、功能梯度形式和边界条件等不同因素对新型三相复合材料圆柱壳固有振动特性的影响.

共固化阻尼膜夹嵌复合材料圆柱壳的制备工艺与振动特性分析

为研究共固化阻尼膜夹嵌复合材料圆柱壳的振动特性,开发了共固化阻尼膜夹嵌复合材料圆柱壳结构制备新工艺,设计并制备出试件。搭建了动力学模态试验平台,分析圆柱壳试件的基频、阻尼比和模态振型,并验证了有限元模型的准确性。在此基础上,通过数值模拟进一步探讨参数变化对结构动力学性能的影响规律。结果表明:内外复合材料层厚度相同时,结构具有较好的动力学性能;增加阻尼层厚度并取合适的阻尼层比率,可使结构获得较大的阻尼性能和理想的刚度;长度与厚度之比存在结构设计的最优值,结果为共固化阻尼膜夹嵌复合材料圆柱壳结构的优化设计提供了借鉴与指导。

功能梯度三相复合材料圆柱壳的非线性振动研究

论文研究了一种由环氧树脂、石墨烯纳米片、碳纤维制成的功能梯度三相复合材料圆柱壳的非线性振动响应.基于一阶剪切变形理论和von-Karman几何非线性关系,考虑到温湿效应、气动力和外激励的共同作用,利用Hamilton原理建立了两端固支圆柱壳的非线性偏微分运动方程.利用Galerkin法将非线性偏微分运动方程离散成一组相互耦合的二阶非线性常微分方程,利用伪弧长延拓法求解非线性常微分方程组,给出对应的幅频响应曲线.本论文中仅考虑湿度和外激励等参数的变化对新型三相复合材料圆柱壳结构非线性振动响应的影响,分析了湿度和外激励的变化对功能梯度三相复合材料圆柱壳共振响应的影响.