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     

纵桁对环肋圆柱壳体水下振动与声辐射的影响

采用结构有限元耦合流体边界元的附加质量附加阻尼算法,对具有不同数量纵桁的加筋环肋圆柱壳水下振动与声辐射噪声进行了数值计算,并对数值计算结果进行了初步的比较和分析,讨论了纵桁的数量对圆柱壳水下振动与声辐射的影响.结果表明:纵桁对圆柱壳水下的减振降噪有较好的效果,并且纵桁的数量越多,减振降噪效果越好,但增加纵桁的数量也相应增加了艇体的重量,在潜艇结构设计时须在降噪及艇体重量间综合权衡.     

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。     

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.     

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.     

弹性贮液圆柱壳的动力特性分析

文中论述了一种贮液圆柱壳动力特性的分析计算方法,分析了弹性壳和液体之间的相互耦合作用。假设贮液满足速度势理论,对于圆柱空壳采用有限元法计算其动能和应变能。采用这种方法,节点未知数数目远小于壳体和液体部分都采用有限元法时的节点未知数数目。     

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     

运动激光辐照圆柱薄壳温度场的数值模拟

对圆柱薄壳在四种不同运动模式激光源辐照下的温度场分布进行了分析研究。运用傅立叶级数展开法推导了在不同运动模式激光源作用下圆柱薄壳温度场的解析表达式,并对该解析表达式进行了编程计算,其计算结果与有限元解吻合良好。详细分析了旋转角速度与平动速度对圆柱壳温升分布的影响,发现在往复运动加热模式下光斑区域的温升变化最为剧烈。计算结果为导弹的抗激光辐射提供了理论依据。     

Influence of porosity distribution on nonlinear free vibration and transient responses of porous functionally graded skew plates

This article deals with the investigation of the effects of porosity distributions on nonlinear free vibration and transient analysis of porous functionally graded skew (PFGS) plates. The effective material properties of the PFGS plates are obtained from the modified power-law equations in which gradation varies through the thickness of the PFGS plate. A nonlinear finite element (FE) formulation for the overall PFGS plate is derived by adopting first-order shear deformation theory (FSDT) in conjunction with von Karman’s nonlinear strain displacement relations. The governing equations of the PFGS plate are derived using the principle of virtual work. The direct iterative method and Newmark’s integration technique are espoused to solve nonlinear mathematical relations. The influences of the porosity distributions and porosity parameter indices on the nonlinear frequency responses of the PFGS plate for different skew angles are studied in various parameters. The effects of volume fraction grading index and skew angle on the plate’s nonlinear dynamic responses for various porosity distributions are illustrated in detail.     

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。     

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。     

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。     

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。     

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.     

一类参数激励与强迫激励并存的非线性振动系统的分叉

本文用Ｌｉａｐｕｎｏｖ—Ｓｃｈｍｉｄｔ方法研究了同时受参数激励与强迫激励作用的非线性振动系统的亚谐分叉问题,用奇异性理论确定了等价意义下的分叉方程的形式,导出了必需的分叉系数,求出并且分析了１／２—１／２亚谐共振分叉方程的普适开折,画出了各个结构稳定域及分叉集上的响应图。     

考虑扩散效应圆形隧洞热弹性耦合动力响应研究

利用S-H热弹性扩散的基本理论,研究了无限弹性介质中圆形隧洞表面受随时间变化的热冲击的动力响应问题.采用直接求解方法以避免势函数的引入,利用Laplace变换技术,求解热、力、化学耦合控制方程,获得了弹性介质中温度梯度、位移、应力和化学势的积分形式解.最后,利用Laplace逆变换得到数值结果,分析了热、力、化学耦合条件下弹性介质中温度梯度、应力、位移和化学势响应的分布规律.     

Optimal Guaranteed Cost Control Algorithm for Automatic Chain Shell Magazine

The automatic chain shell magazine is the primary subassembly of the automatic ammunition loading system of a big-caliber howitzer. Due to the change of the shell amount in the magazine during firing, its positioning control is a kind of control problem of systems with uncertain parameters. In order to realize accurate control of shell position, an optimal guaranteed cost control algorithm based on linear matrix inequality (LMI) theory was put forward. The motion equations of the magazine were built, and the motion equations for four special load situations were linearized; according to the basic theory of the guaranteed cost control, the motion equations were written as the standard forms for linear uncertain systems; the optimal guaranteed cost control law for the position control of the magazine was obtained by use of LMI toolbox in MATLAB package. Using this control law, the controlled dynamic simulation of the shell magazine was carried out. The simulation results indicate that the control algorithm has high control precision.