基于响应面方法的碳纤维蜂窝板有限元模型修正

蜂窝板是一种特殊的高强度轻质复合材料,在卫星等航天器结构中应用广泛。MSC/NASTRAN和ANSYS等大型通用有限元软件中没有蜂窝结构单元库,只能用蜂窝板等效结构参数进行计算,等效过程中的简化导致有限元计算结果与试验测量值之间存在差异。基于响应面的模型修正方法可以避免每次迭代都调用有限元程序,提高计算效率。依据三明治夹芯板理论计算蜂窝芯等效结构参数,用ANSYS中的SHELL91单元建立多铺层碳纤维蜂窝板模型,用基于均匀设计的试验设计方法进行试验设计,获得蜂窝板在各因素和水平下的试验数据,构造二次多项式响应面,并用带变异算子的改进粒子群算法对蜂窝芯结构等效参数进行修正,修正后参数代入有限元模型,能有效改善模型计算质量。     

基于改进高斯径向基函数响应面方法的蜂窝板模型修正

用等效板理论计算蜂窝板等效结构参数建立基准有限元模型, 对基准模型中结构参数施加摄动量建立待修正有限元模型。根据均匀设计方法将等效参数分为不同水平的参数组, 分别计算各参数组对应的模态频率响应, 然后建立基于一次式-高斯组合径向基函数(Linear-Gaussian RBF)的响应面模型。引入变异算子的改进粒子群算法修正响应面模型, 将搜索到的参数摄动量(优化解)代入待修正模型, 得到修正后模型。通过比较基准模型与修正前后模型的结构参数和模态频率响应的接近程度, 证实了修正方法的有效性。基于响应面的模型修正避免了迭代中重复调用有限元计算, 可提高分析效率。      

四边固支铝基蜂窝夹层板弯曲自由振动分析

基于经典叠层板理论, 将铝基蜂窝芯层等效为一正交异性层, 等效弹性参数由修正后的Gibson公式得出, 对四边固支薄蜂窝夹层板弯曲振动的固有频率进行了理论推导, 研究了蜂窝夹层板厚度、 芯层板厚度对蜂窝夹层板固有频率的影响。同时利用有限元软件计算了相应参数下的固有频率。计算结果表明, 经典叠层板理论可以较准确的计算四边固支蜂窝夹层板的固有频率。      

紧缩场蜂窝夹层反射面板材料参数优化反求

紧缩场高精度蜂窝夹层结构反射面板由经特殊工艺处理的铝蜂窝芯和表层铝板胶接而成 , 解析计算和材料力学性能试验很难准确获得该夹层板的材料性能参数。本文中采用数值2试验混合模型方法对该种夹层板的等效材料性能参数进行了优化反求。正向分析采用有限元方法 , 逆向分析采用遗传算法和梯度法组合优化算法。正、 逆分析过程的无缝集成和组合优化算法策略使反求效率明显提高。试验验证表明 , 采用反求方法获得的材料性能参数能够精确反应该夹层板的弹性本构关系 , 建立在该材料参数基础上的有限元模型具有理想的精度。     

蜂窝夹芯板表面加工的平整度分析

蜂窝夹芯结构具有高的比强度、比刚度以及质量轻等优点,被广泛应用于航空航天领域。因此,对其进行力学特性分析具有理论研究和工程应用价值。针对卫星常用的蜂窝夹芯结构板,实验测得夹芯板的表面平整度。根据理论推导得出蜂窝夹芯结构的等效材料参数,利用有限元分析软件MSC.Patran/Nastran进行蜂窝夹芯板的表面平整度分析。对比发现,实验结果和计算分析结果相差为5.9%,表明理论推导的可行性。根据三明治等效理论,提出建立常用规格的蜂窝的等效参数的等效系数库,便于蜂窝夹芯结构的工程应用。     

四边固支对称蜂窝夹层板主共振非线性动力学计算

应用同伦分析方法(HAM)研究了四边固支对称蜂窝夹层板主共振情况下的非线性动力学特性。将铝基蜂窝芯层等效为一正交异性层, 等效弹性参数由修正后的Gibson方程得出。基于经典叠层板理论(CPT)和几何大变形理论建立了四边固支蜂窝夹层板受横向激振力作用下的受迫振动微分方程, 通过振型正交化将蜂窝夹层板受迫振动微分方程简化成双模态下的动力学控制方程, 得到了主共振情况下的平均方程, 研究了不同结构参数对动力学特性的影响。计算结果表明, 蜂窝夹层板的幅频特性曲线类似单自由度Duffing方程响应曲线, 随着结构参数的增大, 硬特性明显加大并且振幅的峰值明显减小, 所得结论可为蜂窝夹层板的设计和实际应用提供理论依据。     

蜂窝夹层复合材料不确定性参数识别方法

提出蜂窝夹层复合材料不确定性参数识别方法。采用三明治夹芯板理论建立铝蜂窝夹层结构的初始有限元模型,其中芯层等效弹性参数由均匀化方法计算。据芯层结构及相对灵敏度分析选存在不确定性且对动态特性敏感性较大的面外剪切模量及面板厚度为待识别参数。对6块铝蜂窝复合材料板进行自由-自由边界条件下动态试验,获得试验模态参数的均值及标准差。据试验结果采用所提方法识别铝蜂窝夹层板不确定性参数。结果表明,对存在不确定性参数的铝蜂窝夹层复合材料用该方法能准确识别铝蜂窝夹层板不确定参数的均值及标准差。并建立具有准确统计意义的动力学模型。     

基于Hyperworks的六边形蜂窝板铺层等效建模方法研究

提出了一种蜂窝材料的铺层等效有限元模型构建方法,可快速准确分析蜂窝板材力学特性。基于该模型所计算的模态、静力和冲击谱结果与目前常用有限元建模方法计算结果进行对比,可以得出结论:铺层等效有限元模型不仅与原蜂窝板力学性能有较好的一致性,而且可以极大地提高计算效率。基于该铺层等效有限元模型,将复杂参数与目标量化,建立蜂窝胞元尺寸长度与前五阶模态频率的函数关系,可为结构的优化设计提供依据。     

蜂窝夹层板的一种等效单层模型

本文根据正六角形蜂窝芯层的变形特点,建立了一种考虑芯层弯曲刚度的蜂窝夹层板模型,并在此基础上,将蜂窝夹层板等效为一横观各向同性材料单层板,极大地简化了此类问题分析的难度。在实例中研究了该模型的精度及适用范围。     

基于夹层板理论的圆形孔蜂窝结构隔声量研究

蜂窝夹层结构广泛应用于航空航天、船舶、高速列车等交通工具领域。基于三明治等效理论建立了圆形蜂窝结构层芯的等效剪切参数,从而得到简支边界条件下的圆形孔蜂窝夹层板的声振耦合振动模型及传声损失,并在仿真中数值验证了理论模型的正确性。同时基于理论计算,分析了圆形孔蜂窝结构中的层芯胞元半径、层芯壁厚和结构材料对隔声量的影响。由分析可知:层芯半径小、壁厚薄的钢材圆形蜂窝结构具有更好的隔声性能。     

Mechanical response of metallic honeycomb sandwich panel structures to high-intensity dynamic loading

Explosive tests were performed in air to study the dynamic mechanical response of square honeycomb core sandwich panels made from a super-austenitic stainless steel alloy. Tests were conducted at three levels of impulse load on the sandwich panels and solid plates with the same areal density. Impulse was varied by changing the charge weight of the explosive at a constant standoff distance. At the lowest intensity load, significant front face bending and progressive cell wall buckling were observed at the center of the panel closest to the explosion source. Cell wall buckling and core densification increased as the impulse increased. An air blast simulation code was used to determine the blast loads at the front surfaces of the test panels, and these were used as inputs to finite element calculations of the dynamic response of the sandwich structure. Very good agreement was observed between the finite element model predictions of the sandwich panel front and back face displacements and the experimental observations. The model also captured many of the phenomenological details of the core deformation behavior. The honeycomb sandwich panels suffered significantly smaller back face deflections than solid plates of identical mass even though their design was far from optimal for such an application.     

Behaviour of sandwich panels subject to intense air blasts – Part 2: Numerical simulation

Finite element simulation is employed to analyse the behaviour of clamped sandwich panels comprising equal thicknesses mild steel plates sandwiching an aluminium honeycomb core when subject to blast loadings. Pressure-time histories representative of blast loadings are applied to the front plate of the sandwich panel. The FE model is verified using the experimental test results for uniform and localised blast loading in the presence of a honeycomb core and with only an air gap between the sandwich plates. It is observed that for the particular core material, the load transfer to the back plate of the panel depends on the load intensity, core thickness and flexibility of the sandwich panels.     

结构参数对CFRP蒙皮-铝蜂窝夹层板低速冲击性能的影响

针对碳纤维增强树脂复合材料（CFRP）蒙皮-铝蜂窝夹层结构,使用半球头式落锤冲击试验平台进行了低速冲击载荷下蜂窝芯单元尺寸对夹层板冲击性能影响的试验探究,并基于渐进损伤模型、内聚力模型和三维Hashin失效准则,在有限元仿真软件ABAQUS中建立了含蒙皮、蜂窝芯、胶层的CFRP蒙皮-铝蜂窝夹层板精细化低速冲击仿真模型,仿真结果与试验结果吻合较好。利用该数值模型进一步探究了蜂窝芯高度、蒙皮厚度和蜂窝芯壁厚等结构参数对于蜂窝夹层板低速冲击吸能效果的影响。结果表明:增大铝蜂窝芯的单元边长,会减小蜂窝夹层板的刚度,提升夹层板的吸能效果;芯层高度对夹层板的刚度及抗低速冲击性能影响较小;增大蜂窝夹层板的蒙皮厚度,可以提高夹层板的刚度,但会降低夹层板的吸能效果;增大蜂窝芯的壁厚,可以提高夹层板的刚度和抗低速冲击性能。      

Failure analysis of adhesive surface damage in sandwich plates under compressed loads

Abstract

Failures of honeycomb sandwich plates are analyzed using experiments and three-dimensional (3D) finite element simulations to understand the failure mechanism. Meanwhile, correlations of the critical load and various physical parameters (e.g., height and thickness of the core) are investigated. The results demonstrated that the core height and skin thickness have significant effects on the compressed load buckling of the honeycomb sandwich plates, the core density is a sub-critical sensitive factor, while wall thickness and spacing of the cell, and the sandwich modulus have negligible effects. Cracking on the adhesive surface is the dominant factor to reduce the buckling critical load of the laminated plate, which leads to failures of sandwich plates. The ultimate failure of the sandwich panel is attributed to severe deformations that lead to local cracking of the entire cemented adhesive surface. Due to the bonding of the adhesive surface defects, the actual loads related to the core height are large enough to cause compressions with local buckling. Hence, the actual loads cannot reflect the performance of the sandwich panels. It is recommended to use panels with appropriate thicknesses below the sandwich and moderate grid density in the design.     

碳纤维增强聚合物复合材料方形蜂窝夹层结构水下爆炸动态响应数值模拟

基于ABAQUS有限元仿真软件,建立了不同夹芯相对密度的碳纤维增强聚合物（Carbon Fiber Reinforced Polymer,CFRP）复合材料方形蜂窝夹层结构在水中爆炸冲击波载荷作用下的仿真模型,分析了结构的变形过程、夹芯的压缩特性及结构的失效及破坏情况。数值模拟结果表明,CFRP复合材料蜂窝夹芯压缩量在前面板速度降至与后面板相同时达到最大; CFRP复合材料蜂窝夹芯的最大压缩量随着初始压力的增大呈先缓慢增大后快速增大的趋势,其增大趋势在夹芯接近完全压缩时又趋于缓慢; CFRP复合材料夹层结构失效随夹芯相对密度和初始压力的变化呈现不同的模式,且其防护性能优于等重的层合结构。研究结果可以为复合材料夹层结构在水中冲击波载荷防护中的应用提供参考。      

四边简支新型类方形蜂窝夹层结构振动特性研究

新型类方形蜂窝是六边形蜂窝的一种过渡形式,对其等效弹性参数和振动特性的研究具有重要意义。采用改进的Gibson公式对比分析了双壁厚与等壁厚类方形蜂窝夹芯的面内等效弹性参数的差异,并应用经典层合板理论分析了不同等效弹性参数下2种壁厚类型的四边简支类方形蜂窝夹层结构的振动特性,基于有限元仿真技术分析了不同壁厚类方形蜂窝夹层结构的振动特性,并与理论分析结果进行对比。结果表明等效弹性参数的数值模拟结果与理论值基本吻合。在蜂窝基本结构参数相同的条件下,双壁厚类方形蜂窝夹芯的面内等效剪切模量、面外刚度和等效密度均比等壁厚类方形蜂窝夹芯大;在低阶振动模态下,双壁厚类方形蜂窝夹层结构的固有频率比等壁厚类方形蜂窝夹层结构的低,在高阶振动模态下,双壁厚类方形蜂窝夹层结构的固有频率比等壁厚类方形蜂窝夹层结构的高;影响夹层结构固有频率的3个主要因素所占权重由大到小依次为蜂窝夹芯yoz面等效剪切模量、蜂窝夹芯等效密度,蜂窝夹芯壁厚。研究结果表明采用经典层结构理论计算得到类方形蜂窝夹层结构的固有频率与数值仿真结果的一致性较好,这进一步证明了采用改进Gibson公式得到的类方形蜂窝夹芯等效弹性参数的正确性,同时证明了将该振动理论运用到一般蜂窝夹层结构研究的可行性,为扩展研究其他类型蜂窝夹层结构振动特性奠定了基础。     

Investigation on the square cell honeycomb structures under axial loading

To investigate into the collapse of a sandwich panel or beam with a square cell honeycomb, the novel plate model and beam model are developed according to the cross-sectional symmetry of the cell. The treble series solution of buckling mode is presented, and the formulas of critical compressive stress on skins are derived. The honeycomb sandwich panels are classified as thin, medium and thick plates based on their failure forms. It is found that the different kinds of cells have different buckling modes and different parameter governing equations. A new iterative optimization design method for a square honeycomb sandwich panel is developed and the curves of critical compressive stresses with geometrical parameters are provided in details. Finally, the 3D finite element numeric simulations have validated the formulas presented by this paper. Our study reveals some mechanical characteristics of the square honeycomb sandwich structures.     

Finite element modelling of low velocity impact of composite sandwich panels

This paper outlines a finite element procedure for predicting the behaviour under low velocity impact of sandwich panels consisting of brittle composite skins supported by a ductile core. The modelling of the impact requires a dynamic analysis that can also handle non-linearities caused by large deflections, plastic deformation of the core and in-plane degradation of the composite skins. Metal honeycomb, frequently used as a core material, is anisotropic and requires a non-standard approach in the elasto-plastic part of the analysis. A suitable yield criteria based on experimental observations is proposed. Comparisons of experimental and finite element responses are shown for sandwich panels with carbon fibre skins and aluminium honeycomb cores.     

A new analysis of nonlinear free vibration behavior of bi-functionally graded sandwich plates using the p-version of the finite element method

Geometrically nonlinear vibration of bi-functionally graded material (FGM) sandwich plates has been carried out by the p-version of the finite element method (FEM). The bi-FGM sandwich plate is made up of two face-sheet layers of two different FGM and one layer of homogeneous core. The nonlinear equations of motion of bi-FGM sandwich plates are establish using the harmonic balance method and solved iteratively by the linearized updated mode method. The effects of amplitude vibration, mechanical properties, geometrical parameters, thickness ratio of bi-FGM layers, and volume fraction exponent on the nonlinear vibration behavior of bi-FGM sandwich plates are plotted and investigated.