Boundary-layer hygrothermal stresses in laminated, composite, circular, cylindrical shell panels

Free-edge effects in laminated, circular, cylindrical shell panels subjected to hygrothermal loading are studied by utilizing displacement-based technical theories. Starting from the most general displacement field of elasticity for long, circular, cylindrical shells, appropriate reduced displacement fields are determined for laminated composite shell panels with cross-ply and antisymmetric angle-ply layups. An equivalent single-layer shell theory is used to analytically determine the constant parameters appearing in the reduced displacement fields. A layerwise shell theory is then employed to analytically determine the local displacement functions and the boundary-layer interlaminar stresses in cross-ply and antisymmetric angle-ply shell panels under hygroscopic and/or thermal changes. Several numerical examples for the distributions of transverse shear and normal stresses in various shell panels under a uniform temperature change are presented and discussed.     

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.     

叠层连续柱壳热应力问题的弱形式研究

建立了弹性力学基本方程的弱形式,从而得到叠层连续柱壳混合状态方程的边界条件放在一起的算子方程,扩大了求解空间,给出叠层连续闭口柱壳在热荷载和机械荷载作用下的解析解。     

任意厚度层合开口柱壳的温度应力

基于层合柱壳混合状态方程和边界条件的弱形式,建立了具有固支边的层合开口柱壳的温度应力混合方程,给出了任意厚度层合开口柱壳在温度荷载和机械荷载共同作用下的解析解。     

ACTIVE CONTROL OF THE PIEZOELASTIC LAMINATED CYLINDRICAL SHELL''''S VIBRATION UNDER HYDROSTATIC PRESSURE

IntroductionDuetotheintrinsicdirectandconversepiezoelectriceffects,piezoelectricmaterialscanbeeffectivelyusedtoproducesensorsoractuatorsfortheactiveshapeorvibrationcontrolostructures.Therefore,theuseofpiezoelectricmaterialsinintelligentstructuresattractedmanyattentionsinrecentyears.Thedesignofsuchactivesystemsrequiresgoodunderstandingofthemechanical_electricinteractionbetweenthestructuresandpiezoelectricmaterials.Manyinvestigationshavebeendoneinthisfield[1].However,mostofthesestudiesarebasedo…     

复合圆柱壳冲击压缩数值模拟及稳定性研究

针对复合圆柱壳在炸药爆轰作用下的动力学响应及在此过程中伴随的失稳问题,研究了其制造工艺中可能出现的缺陷以及圆柱壳中铜线螺旋角和直径对复合圆柱壳稳定性产生的影响。采用SPH-FEM耦合算法,建立了复合圆柱壳二维细节模型,并提出了一种基于圆柱壳内壁粒子速度历史的失稳判据,计算了在不同参数条件下复合圆柱壳的失稳时间及对应的压缩率,对影响复合圆柱壳稳定性的因素进行了评估。分析结果表明,在复合圆柱壳制备过程中存在的折返层缺陷和铜线直径对复合圆柱壳的稳定性有较大影响,而螺旋角度对其稳定性影响不大。     

线载荷作用下圆柱壳环向弯曲变形的研究

通过引入单三角级数形式的位移函数, 求解了法向任意分布载荷作用下对 边简支时圆柱壳的环向弯曲问题, 把线载荷近似为微元矩形区的分布载荷, 推导出了线 载荷作用下圆柱壳的环向弯曲变形计算式, 并给出了线载荷为均布和线性变化时的具体解. 计算表明, 该种边界约束条件下圆柱壳的环向弯曲变形位移分布场的理论计算结果与有限元 分析结果基本吻合.     

On vibration of hemispherical shell by using finite element method

This paper establishes the finite element equation for the spherical shell.The resonantfrequencies of the above shell under different boundary conditions are also discussed andcalculated.     

任意厚度层合闭口柱壳的轴对称温度应力

基于层合柱壳混合状态方程和边界条件的弱形式，在轴对称情况下，建立了两端固支层合闭口柱壳的温度应力混合方程，给出了任意厚层合柱壳在温度荷载和机械荷载共同作用下的解析解。     

Nonlinear stability of a shallow unsymmetrical heated orthotropic sandwich shell of double curvature with orthotropic core

Equations which govern the behavior of an elastic unsymmetrical, orthotropic sandwich shell of double curvature with orthotropic core having different elastic characteristics under uniform heating are derived. The face sheet may be of unequal thickness of different materials. However, a restriction that the radii of curvature of the shell elements be large compared with the overall thickness of the sandwich shell is imposed. The variational procedure has been used to obtain the five equations which govern the behavior of the heated orthotropic sandwich shell for the stability. In case of symmetry the equations resemble with those of Grigolyuk. Finally, the numerical results of a square or a rectangular simply supported curved plate section of a cylindrical shell under thermal loading have been computed and compared with other known results. The graphs have been drawn to show the effects of different sandwich material for immovable and movable edge conditions.     

Constructive symmetry in the stability problem for a cylindrical shell reinforced by stiffening rings under hydrostatic pressure

We use the solution of the problem under study which was earlier obtained by the author [1—3] and which is based on a decomposition of the reinforced shell into separate constructive elements (the ribs and the shell itself) and then on deriving the equilibrium equations and consistency conditions for their strains. Under the assumption that the shell precritical state is momentless, this is a sufficiently exact solution. Its drawback is the significant complexity of the computational algorithm. In the present paper, we show that the laboriousness of the algorithm can be reduced dramatically if the shell under study has elements of design symmetry (identical ribs, their uniform spacing, or both). In addition, we present dependencies determining the stiffening rib rigidity needed to ensure that the shell remains stable for a given critical value of the external hydrostatic pressure.     

不同起爆方式下炸药驱动柱壳膨胀断裂的数值模拟

采用数值模拟方法,研究不同起爆方式下内部炸药对金属柱壳的加载历程差别。计算结果表明,不同起爆方式下柱壳内表所经受的压力载荷、做功历史显著不同,分析了引起差异的原因。提出一种半解耦数值方法,使柱壳网格划分得更细,可以模拟不同起爆方式下柱壳的膨胀破坏过程,通过理论分析说明了这种方法的合理性。     

The distributions of the interlaminar stress in a laminated shell with free end boundary

This paper studies the free edge effect yielded by interlaminar stress in a laminated cylindrical shell made up of fiber reinforced layer [0°], [90°] and the isotropic material layer under axisymmetric thermal load or radial pressure. Both ends of the shell are in free boundary condition. The exact solution of the problem can be obtained by using the three-dimensional theory of elasticity. For illustration, the numerical laminar stresses in a double-layer laminated shell under thermal load or radial pressure are calculated.     

A perturbation analysis of mode interaction in postbuckling behavior and imperfection sensitivity

A perturbation method is presented for the analysis of postbuckling behavior and imperfection sensitivity of elastic structures which have more than one buckling mode. The method is exemplified by analyzing a complete spherical shell under external hydrostatic pressure. For this analysis, use is made of two- and three-mode models of the shell derived earlier from the shallow shell equations.     

Viscoelastoplastic Deformation of Reinforced Shells of Revolution Under Nonstationary Loading

The elastoviscoplastic behavior of a discretely reinforced shell under axisymmetric nonstationary loading is considered within the framework of the geometrically and physically nonlinear Timoshenko-type theory of shells. The stress–strain state of the structure is studied in terms of the incremental plasticity with kinematic hardening and dynamic yielding condition, which allows for the dynamic viscosity of the structure. The nonstationary behavior of a rigidly fastened reinforced shell under axisymmetric pulse loading normal to the shell surface is considered as an example. The deflection–time and deflection–space relationships are found     

Dynamics of a Semi-Infinite Cylindrical Shell with a Liquid Containing a Vibrating Spherical Segment

A semi-infinite cylindrical shell filled with a perfect incompressible liquid is considered. A vibrating rigid spherical segment placed on the shell axis excites the shell. The Laplace equation is solved under appropriate boundary conditions on the spherical, cylindrical, and flat surfaces bounding the liquid. Possibility is used to reexpand a spherical harmonic function in terms of a system of cylindrical harmonic functions and vice versa. The potential constructed is used to compute the shell deflections and the liquid pressure and velocity.     

Effect of the Number of Ribs on a Transient in a Cylindrical Shell under a Disturbing Load*

International Applied Mechanics - A technique to study the transient process of the forced vibrations of a cylindrical shell stiffened with longitudinal ribs is developed. The shell is under an...     

Deformation of a shallow shell of revolution into a circular plate

If the curvature of a shell changes under the action of an external force, then the shell can enter a strain state in which it acquires the shape of a plate. In the framework of physical and geometrical linearity, we suggest a solution of the axisymmetric problem about the stress-strain state of a shallow shell of revolution transformed into a circular plate.     

Optimization of Axisymmetric Membrane Shells Against Brittle Fracture

The questions investigated in this paper are related to an important class of problems of optimal design of structures against brittle fracture. The primary problem of axisymmetric shell optimization under fracture mechanics constraint is formulated as the weight (volume of the shell material) minimization under stress intensity constraints. Considered problems are characterized by incomplete information concerning crack size, crack location and its orientation. Taking into account the factor of incomplete information the paper presents the formulation of optimal shell design problem based on minimax (guaranteed) approach and provides some results of analytical investigation for thin-walled shells with through cracks.     

Deformation of flexible noncircular cylindrical shells under concurrent loads of two types

The paper presents an exact analytic solution to a nonlinear boundary-value problem for a long noncircular cylindrical shell with variable cross-sectional curvature under two concurrent loads: a surface force and bending moments. The behavior of the shell under these loads is analyzed __________ Translated from Prikladnaya Mekhanika, Vol. 43, No. 7, pp. 58–65, July 2007.