Current-voltage characteristics of lead zirconate titanate/nickel bilayered hollow cylindrical magnetoelectric composites

Current--voltage measurements obtained from lead zirconate titanate/nickel bilayered hollow cylindrical magnetoelectric composite showed that a sinusoidal current applied to the copper coil wrapped around the hollow cylinder circumference induces voltage across the lead zirconate titanate layer thickness. The current--voltage coefficient and the maximum induced voltage in lead zirconate titanate at 1~kHz and resonance （60.1~kHz） frequencies increased linearly with the number of the coil turns and the applied current. The resonance frequency corresponds to the electromechanical resonance frequency. The current--voltage coefficient can be significantly improved by optimizing the magnetoelectric structure geometry and/or increasing the number of coil turns. Hollow cylindrical lead zirconate titanate/nickel structures can be potentially used as current sensors.

Bending stress of rolling element in elastic composite cylindrical roller bearing

A new structure design method of elastic composite cylindrical roller bearing is proposed, in which PTFE is embedded into a hollow cylindrical rolling element, according to the principle of creative combinations and through innovation research on cylindrical roller bearing structure. In order to systematically investigate the inner wall bending stress of the rolling element in elastic composite cylindrical roller bearing, finite element analysis on different elastic composite cylindrical rolling elements was conducted. The results show that, the bending stress of the elastic composite cylindrical rolling increases along with the increase of hollowness with the same filling material. The bending stress of the elastic composite cylindrical rolling element decreases along with the increase of the elasticity modulus of the material under the same physical dimension. Under the same load, on hollow cylindrical rolling element, the maximum bending tensile stress values of the elastic composite cylindrical rolling element after material filling at 0° and 180° are 8.2% and 9.5%, respectively, lower than those of the deep cavity hollow cylindrical rolling element. In addition, the maximum bending-compressive stress value at 90° is decreased by 6.1%.

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.

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.

A STUDY OF THE POSTBUCKLING PATH OF CYLINDRICALLY CURVED PANELS OF LAMINATED COMPOSITE MATERIALS DURING LOADING AND UNLOADING

In this paper, Dynamic Relaxation Method is applied to study the postbuckling path of cylindrically curved panels of laminated composite materials during loading and unloading. The phenomenon that loading paths do not coincide with unloading paths has been found. Numerical results are given for cylindrically curved cross-ply panels subjected to uniform uniaxial compression under two types of boundary conditions. The influence of the number of layers, the panels curvature and the initial imperfection on the postbuckling paths is discussed.

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.

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.

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.

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.

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.

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.

ANALYSIS OF TRANSIENT THERMAL STRESS IN CYLINDRICALLY ORTHOTROPIC TUBES

The incorrect deduction of equations in the research works devoted to the studies of transient stress in cylindrically orthotropic tubes and done by Kardomateas (Journal of Applied Mechanics, 1989, 1990) leads to the wrong results. The errata (1991) correct the deduction error, but do not give the right numerical results. All errors are corrected, and the Mathematica is adopted to solve the large argument problem for Bessel function. A theoretical solution of the transient thermal stresses in tubes with uniform form is presented, and a numerical example is studied.

Generalized Boundary Conditions for Ultrasonic Scattering from a Cylindrical Layer Between Two Solids

By asymptotically expanding the transfer matrix that relates stresses and displacements on both sides of a thin cylindrical interface between two solids,a new spring model is proposed to describe the scattering of an obliquely incident ultrasonic wave from an interface layer in composite structures.Generalized three-dimensional boundary conditions at the cylindrical interface are obtained.Two stiffness constants,besides three mass terms,for the interface layer are introduced.It is found that the accuracy of the new model satisfies the precision demand in ultrasonic nondestructive evaluation.

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。