约束阻尼板的有限元动力分析

基于虚功原理，提出了一种新的建立约束阻尼板结构动力学模型的方法。该方法将坐标系建立在板的中性面，采用层合理论推导出约束阻尼板结构的动力方程，并结合GHM(Golla—Hughes—McIavish)方法引人辅助的耗散坐标，来描述粘弹性材料随频率变化的特性。通过算例同实验结果和ANSYS计算值作比较验证了其有效性。结果表明，本方法分析约束阻尼结构具有良好的计算精度。也可以用来计算类似的约束阻尼结构。     

充液压电阻尼圆柱壳的有限元建模

基于Mindlin板理论、压电理论、粘弹性理论和理想流体方程，对充液圆柱壳主动约束阻尼结构在流固耦合条件下的建模进行了研究。利用拉格朗日方法得到结构的动力学方程，利用GHM方法描述粘弹性阻尼的本构关系，结合流体方程建立主动约束阻尼结构在流固耦合条件下的动力学方程。建立从压电材料的电压到流固耦合边界下的圆柱壳结构振动的频响函数，利用实验结果对理论计算加以验证，结果表明该建模方法是可行的。     

粘弹性材料的ADF模型研究

采用GA-BFGS混合遗传算法建立了一套确定粘弹性模型参数的方法,对ADF模型进行参数拟合,并与标准流变模型,GHM模型及试验结果进行了比较。基于ADF模型的本构方程和控制方程,建立了粘弹性自由层阻尼悬臂梁的有限元方程。算例表明,本文确定模型参数的方法是有效的;同时通过对自由层悬臂梁的有限元模态分析,表明ADF模型在描述粘弹性材料本构关系中具有结构简单,计算精确,方便和有限元相结合的特点。     

主动约束层阻尼板结构动力学建模研究

将有限元法和GHM法相结合，给出了建立主动约束层阻尼（ACLD）板结构动力学模型的新方法。建模时，考虑到粘弹材料（VEM）的纵向位移影响，采用GHM方法描述VEM的本构关系，解决了VEM的力学特性随温度和频率变化的难点，避免因VEM的复杂本构关系而产生的微分积分方程。算例表明本文给出的建模方法是准确的，ACLD结构能够有效控制结构振动。     

开尔文模型粘弹性Timoshenko梁的动力分析与应用

基于Kelvin模型张量形式本构关系导出粘弹性Timoshenko梁自由振动微分方程组,给出两端简支粘弹性梁的固有频率解析解。对粘弹性梁的振动特性进行了分析和比较。以此计算材料开尔文模型粘弹性阻尼系数,结果表明,该方法准确可靠。     

沥青混合料热粘弹性本构关系试验测定及其力学应用

基于热粘弹性力学理论,就不同的温度条件下沥青混合料的应力松弛特征开展了试验研究,应用热流变简单材料的时温等效原理对试验结果进行了分析和参数拟合,根据试验结果建立了描述沥青混合料粘弹特性的广义Maxwell模型;通过理论推导提出了沥青混合料非定常和非均匀变温条件下增量型热粘弹性本构关系,在此基础上,给出应用本构关系进行沥青路面热粘弹性力学分析的数值实现方法;通过对TSRST试验的模拟,对得到的沥青混合料热粘弹性本构关系及其数值实现方法的合理性进行了验证,并给出一个工程计算实例。     

局部约束阻尼柱壳振动分析及优化设计

针对圆柱壳振动特性,给出局部约束阻尼柱壳模型。基于弹性、粘弹性本构方程用能量法建立动力学方程,研究阻尼段结构参数变化对振动特性影响。建立以阻尼轴向与周向分段数、阻尼段轴向与周向间隙、阻尼层厚度为设计变量,前三阶模态最大损耗因子为目标函数,利用多目标遗传算法对两端简支柱壳进行优化分析。通过分析、比较优化前后结构模态固有频率变化、损耗因子变化及幅频响应表明,合理贴敷阻尼段能有效减少阻尼材料用量,且在不改变柱壳固有振动属性条件下能达到更好的减振效果。     

约束层阻尼对飞机壁板隔声特性的影响

约束层阻尼是飞机舱壁结构减振降噪的常用材料。为快速预计敷贴约束层阻尼的飞机壁板的隔声特性,以声阻抗管条件下均匀板传声损失测试结果和有限元模型计算结果为依据,分析约束层阻尼的质量、阻尼损耗因子及约束层厚度对板传声损失的影响效果,进而在混响室-全消声室条件下测试有限尺寸飞机壁板模型敷贴约束层阻尼板的隔声量。验证了基于阻抗管中获得约束层阻尼参数与整体传声损失的关系可用于预计飞机壁板敷贴约束层阻尼后的隔声特性。     

考虑参数随机性的约束阻尼结构振动特性分析

根据模态应变能理论建立约束阻尼结构有限元模型,基于粘弹性层的厚度和部分材料参数随机性分析,对约束阻尼结构的振动特性进行研究,分析粘弹性层的厚度和部分材料参数的随机性对约束阻尼结构模固有频率和模态损耗因子的影响。研究结果证明粘弹性结构参数随机性分析的必要性,分析方法和得出的相关结论对工程实践有一定参考。     

粘弹性对称铺设层合板的非线性动力响应

基于Karman板理论和线粘弹性Boltzmann叠加原理,建立了粘弹性对称铺设层合板的非线性积分—偏微分动力学方程。针对材料具积分型本构关系以及松弛模量为Prony级数的形式,应用Galerkin技术、Newmark方法和Newton-Cotes方法,给出了求解粘弹性层合结构非线性动力学问题的一种有效的数值算法。具体地求解了若干算例,且与相关文献进行了比较。     

Behavior of laminated sandwich plates having interfacial imperfections by a new refined element

The static response of laminated sandwich plates having imperfections at the layer interfaces is investigated by a refined plate theory. The plate theory represents parabolic through thickness variation of transverse shear stresses, which are continuous at the layer interfaces and become zero at the plate top and bottom surfaces. In this plate model the interfacial imperfection is represented by a linear spring-layer. Moreover, with all these features of an accurate modeling, it involves unknowns only at the reference plane of the plate. To have generality in the analysis, finite element method is adopted. But any existing plate element cannot be used, as the plate theory demands certain inter-elemental continuity. Thus an attempt has also been made to develop a new triangular element. As there is no published result on imperfect sandwich plates, the problems of perfect sandwich plates and ordinary laminated plate with inter-laminar imperfection are used for validation.     

Vibration Analysis of Arbitrarily Shaped Sandwich Plates via Ritz Method

This article presents the Ritz method for the vibration analysis of sandwich plates having an orthotropic core and laminated facings. The planform of the plate may take on any arbitrary shape. On the basis of the Mindlin plate theory and the Ritz method, the governing eigenvalue equation for determining the natural frequencies was derived. The Ritz method was automated and made computationally effective for general-shaped plates with any boundary conditions by (1) adopting the product of polynomial functions and boundary equations that were raised to appropriate powers and (2) applying Green's theorem to transform the integration over the general-shaped domain into a closed line integration. The Ritz formulation and software were verified by the close agreement with vibration frequencies obtained by previous researchers for a wide range of subset plate problems involving isotropic, laminated, and sandwich plates of various shapes. Moreover, sample natural frequencies of sandwich plates with laminated facings are presented for some quadrilateral plate shapes. These frequencies should be useful as reference results to researchers who are developing new methods or software for vibration analysis of sandwich plates.     

Response of composite sandwich panels with transversely flexible core to low-velocity transverse impact: A new dynamic model

A new computational procedure based on improved higher order sandwich plate theory (IHSAPT) and two models representing contact behavior between the impactor and the panel are adopted to study the low velocity impact phenomenon of sandwich panels comprising of a transversely flexible core and laminated composite face-sheets. The interaction between the impactor and the panel is modeled with the help of a new system having three-degrees-of-freedom, consisting of spring–mass–damper–dashpot (SMDD) or spring–mass–damper (SMD). The effects of transverse flexibility of the core, and structural damping are considered. The present analysis yields analytic functions describing the history of contact force as well as the deflections of the impactor and the panel in the transverse direction. In order to determine all components of the displacements, stresses and strains in the face-sheets and the core, a numerical procedure based on improved higher order sandwich plate theory (IHSAPT) and Galerkin's method is employed for modeling the layered sandwich panel (without the impactor), while the analytic force function developed on the basis of SMDD or SMD model, can be used for the contact force between the impactor and the panel. The contact force is considered to be distributed uniformly over a contact patch whose size depends on the magnitude of the impact load as well as the elastic properties and geometry of the impactor. Various boundary conditions for the sandwich panel have also been considered. Finally, the numerical results of the analysis have been compared either with the available experimental results or with some theoretical results.     

夹芯结构复合材料构件VARI工艺仿真计算与成型实验

对于大尺寸夹芯结构或复杂形状夹芯结构复合材料的VARI工艺成型过程的模拟仿真计算,如果采用传统的建模方法,则建模困难,模拟仿真计算量大,效率不高。针对此问题,本文提出了一种简单方便的等效建模法。以矩形泡沫夹芯结构复合材料构件的铺层设计为基础,采用等效建模法建立了实体CAD模型和有限元网格模型,并利用PAM-RTM模拟软件对夹芯结构复合材料构件的VARI工艺成型过程进行了模拟仿真计算,结合工艺成型实验进行了实验验证,并对制品的密度、树脂含量和力学性能等进行了测试与表征。结果表明:由等效建模法仿真计算所得理论充模时间与实测充模时间基本一致,且仿真计算所得树脂流动前锋位置曲线与工艺成型实验测试值也比较吻合;VARI工艺成型对夹芯结构复合材料制品性能的分布均匀性有一定影响。     

纤维增强复合材料三明治板破片穿甲数值仿真

研究破片对（由钢板、纤维增强复合材料板及钢板叠合而成）纤维增强复合材料三明治板穿甲过程中能量转化规律。进行破片模拟弹丸(FSP)对不同结构三明治板高速穿甲数值仿真,获得FSP破片对16种三明治板的弹道极限,并与实验结果对比验证数值仿真的可信度。通过分析数值仿真结果,进一步研究破片临界贯穿条件下纤维增强复合材料三明治板各组成部分吸能比率与结构尺寸相关性。结果表明,不同厚度夹层板的吸能比率恒定(芳纶纤维10.41%,玻璃纤维2.68%),夹层板内能随厚度的增加呈二次函数增加。由此获得破片对纤维增强复合材料三明治板弹道极限速度计算方法。     

Bending response of web-core sandwich beams

This paper presents a new analytical solution for the bending response of a web-core sandwich beam. The beam is a transverse cut from the sandwich plate. The method is based on the plane frame analysis, where the response of the beam is divided into local and global components. The Clebsch’s method is used to calculate the deflection of the face plates. The validation of the plane frame method is carried out with FE-analyses based on the shell element formulation. Also a comparison is made with the method based on homogenized beam. Periodic stress distributions in the face plates are revealed with the plane frame analysis and are supported by the FE-analysis. The existing methods based on homogenized beam are not able to predict these stresses. The plane frame analysis can benefit the development of the theory related to web-core sandwich plate.     

A refined sin hyperbolic shear deformation theory for sandwich FG plates by enhanced meshfree with new correlation function

The moving Kriging interpolation-based (MKI) meshfree method is extended to mechanical behavior analysis of isotropic and sandwich functionally graded material plates. The MKI meshfree method, which is free of shear correction factors effect in plate analysis, is further enhanced by introducing a new multi-quadric correlation function, eliminating drawbacks of its conventional form, gaining accurate solution. In this paper, a new refined sin hyperbolic shear deformation plate theory (N-RSHSDT) is introduced for plate kinematics. The present theory gives rise to four governing equations only, and achieves the sin hyperbolic distribution of the transverse shear strains through the plate thickness. To show the accuracy and effectiveness of the developed method, numerical experiments are performed for both isotropic and sandwich composite plates.

     

多级三角形格栅夹芯板力学分析

为了提高点阵复合材料结构的轻质高强力学特征,尤其提高其抗屈曲性能,设计了一种新型的多级三角形格栅夹芯板结构。根据等效连续介质力学方法提出了多级三角形格栅夹芯板的等效计算理论,预测了拉伸主导型多级三角形格栅夹芯板结构的等效弹性模量以及等效抗弯刚度。分析了侧压条件下多级三角形格栅夹芯板的弹性屈曲载荷和强度破坏模式。在理论模型的基础上绘制了侧压条件下多级三角形格栅夹芯板结构的失效模式图,指出了结构破坏模式与多级三角形格栅夹芯板尺寸之间的对应关系。研究表明:具有工字型截面的多级三角形格栅夹芯板结构相比于传统矩形截面格栅结构具有更高的抗弯刚度和弹性屈曲载荷,是一种性能更加优越的轻质高强点阵结构。