Higher-order vibration of thick composite and sandwich plates based on an alternative higher-order model

The transverse stretching vibration of thick sandwich plates, which is attributed to largely different stiffness at the adjacent layers, is a challenging issue, and efficient approach for such issue is less reported in the published literature. Thus, natural frequencies corresponding to stretching vibration modes are generally neglected in engineering design, which might impact structural safety as frequencies of the exciting force are close to transverse stretching vibration frequencies. This paper proposes an alternative higher-order model for dynamic analysis corresponding to the higher-order vibration modes. The proposed model is classified in the displacement-based equivalent single-layer theory, as the number of displacement parameters in the proposed model is independent of the layer number. The continuity of displacements and transverse shear stresses can be fulfilled at the interfaces between the adjacent layers of structures. To demonstrate the capability of the proposed model, typical examples are analyzed by utilizing the proposed model, the three-dimensional finite element method and the chosen higher-order models. By comparing with the exact three-dimensional elasticity solutions, it is found that the proposed model can yield more accurate natural frequencies corresponding to the higher-order displacement modes than the selected models. Moreover, the factors influencing reasonable prediction of the higher-order frequencies are investigated in detail, which can provide a reference for the accurate prediction of the higher-order frequencies.     

Impact of aperture on dynamic response of sandwich plates with aluminium face-sheets and PMI core based on an alternative finite element formulation and experiments

Apertures generally exist in the sandwich structures attributing to mechanical connection and lightweight, which might induce failure of such structures. Thus, it is required to realize the impact of aperture on mechanical behaviors of sandwich structures. If transverse shear deformations are unable to be described accurately, the reasonable prediction of dynamic behaviors of the form-core sandwich plates with apertures will meet severe challenges due to a large difference of transverse shear mo...     

基于有限元方法的复合材料层合板自由振动分析

利用有限元分析方法分别研究了正交各向异性、对称角和反对称角铺设的正方形复合材料层合板的线性和非线性自由振动问题.结合一阶剪切变形理论推导出层合板自由振动的有限元方程,构造了三维有限元模型,并对其基频进行计算.数值结果与其他的文献的结果对照表明,用有限元方法求得的基频与用各阶剪切变形理论求得的结果非常接近,但对于厚板结果与经典Kirchhoff的结果有一些差距,对于其他理记是一致的.     

复合材料层合/夹层板分析方法

分别用ANSYS软件的实体单元solid-46.基于一阶理论的壳单元shell-99和基于整体-局部高阶理论有限元计算了复合材料层合/夹层板结构,包括层合板孔边应力集中和层合板热响应的算例,比较了各算法的精度.计算结果表明:ANSYS软件不能准确计算层合板/夹层板的层间应力,对孔边应力和热响应问题精度较低,整体-局部高阶理论有限元对于上述问题的计算具有较高精度.     

复合材料层合板弯曲振动高阶理论及有限元模型

本文提出了一种新的复合材料层合板高阶弯曲位移模式,此位移模式既考虑横向剪切的影响,又考虑了法向正应力的分布,进而建立的相当于三维弹性理论解的二维有限元模型,具有精度高、计算量并不大的优点。     

一种含分层复合材料层合板高阶理论及有限元模型

本文提出了一种新的复合材料县合板高阶弯曲位移模式。此模式考虑了横向剪切的影响,得到一种新的厚板有限元模型。对于含有分层的单元,通过改变其单元内横向剪切应力的分布,达到改变单元刚度的目的。因此,此模型适用于任何厚度的或含有分层的复合材料层合板。     

Static Analysis of Functionally Graded Sandwich Plates Using an Efficient and Simple Refined Theory

In this paper, a new displacement based high-order shear deformation theory is introduced for the static response of function-ally graded sandwich plate. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory presented is variationally consistent, has strong similarity with classical plate theory in many aspects, does not require shear correction factor, and gives rise to transverse shear stress variation such that the transverse shear stresses vary parabolically across the thickness satisfying shear stress free surface conditions. Two common types of functionally graded sandwich plates, namely, the sandwich with functionally graded facesheet and homogeneous core and the sandwich with homogeneous facesheet and functionally graded core, are considered. Governing equations are derived from the principle of virtual displacements. The closed-form solution of a simply supported rectangular plate subjected to sinu-soidal loading has been obtained by using the Navier method. The validity of the present theory is investigated by comparing some of the present results with those of the classical, the first-order and the other higher-order theories. It can be concluded that the proposed theory is accurate and simple in solving the static bending behavior of functionally graded sandwich plates.     

客机复合材料APU舱门结构设计及分析

按照结构布局、适航要求及APU门载荷水平,对复合材料APU舱门结构进行设计研究.为满足防火要求和闪电防护要求,选择先进碳纤维复合材料和泡沫芯材,设计了一种复合材料夹层结构.利用有限元模型对夹层结构在气动载荷和风载作用下进行应力和位移分析,得到应变云图和变形云图,分析说明该夹层结构设计满足设计要求.通过对B737飞机APU舱门结构研究和重量提取,进行重量等效对比分析,结果表明该复合材料夹层结构比金属结构重量轻25.8％,减重效果明显.     

复合材料叠层板壳材料非线性有限元分析

 本文采用通用于复合材料叠层厚、薄板壳的Heferosis三维退化曲壳元,利用Hill屈服准则和层状模型法,研制了针对金属基复合材料叠层板壳进行弹塑性分析的超参元程序。算例结果表明,叠层板壳分析方法和所编程序是可靠的,精度良好。     

Vibrational behavior of isotropic plate structures in contact with a bounded fluid via unified formulation

This paper presents an analytical solution for free vibration analysis of thick rectangular isotropic plates coupled with a bounded fluid for various boundary conditions. In order to consider displacement theories of an arbitrary order, the Carrera Unified Formulation(CUF) is used. The eigenvalue problem is obtained by using the energy functional, considering plate and fluid kinetic energies as well as the potential energy of the plate. The Ritz method is used to evaluate the displacement variables, and the functions used in the Ritz series can be adjusted to consider any of the classical boundary conditions. The convergence of the solution is analyzed, and a validation of results considering open literature and 3D finite element software is performed. Parametric studies are carried out to obtain natural frequencies as a function of the side-to-thickness ratio, plate aspect ratio, fluid domain size, plate boundary conditions, and fluid-solid density ratio. Pressure and velocity in the fluid domain are evaluated in order to establish the consistency of the solution.Accurate results for thick plates are obtained with a much lower computational cost compared to that of 3D finite element solutions.     

2.5维编织树脂基复合材料平板多尺度动力学模型修正

在2.5维编织树脂基复合材料多尺度固有振动分析的基础上,开展基于实测结构模态数据的复合材料平板动力学模型修正研究,以获取精准反映其动力学特性的模型。首先,建立复合材料平板固有频率对弹性参数的灵敏度分析方法,分析了平板固有振动特性的主要影响因素;其次,建立基于灵敏度分析的复合材料多尺度动力学模型修正方法,形成了基于MSC.NASTRAN平台的模型修正程序。最后,利用实测结构模态测试数据,实现对复合材料平板动力学模型的修正。结果表明,对关键弹性参数进行修正后,不同边界条件和纱线走向的复合材料平板试验件固有频率实测数据与仿真数据的最大误差由10.44%下降至2.39%,相关性得到了大幅改善。此外,所提出的自由模态测试方案结合动力学模型修正方法,为复合材料等效弹性参数的试验辨识提供了新的技术途径。     

2.5维树脂基编织复合材料平板固有振动分析

开展2.5维T800碳纤维/BMP350聚酰亚胺树脂编织复合材料平板结构固有振动特性的仿真分析与试验研究。首先，分别采用多尺度分析方法和细观尺度有限元分析方法预测复合材料悬臂平板的固有振动特性。其次，开展了复合材料悬臂平板的模态试验，获取其固有振动特性的实测数据。与试验结果对比，仿真预测固有频率最大误差在10%以内，验证了上述两种固有振动分析方法的有效性，可为后续2.5维树脂基编织复合材料叶片的动力学性能分析与设计研究提供参考。      

复合材料泡沫夹芯板胶接修理的压缩性能

针对复合材料泡沫夹芯结构在维修结构性能研究方面的缺失,在完成了复合材料泡沫夹芯板的维修与压缩性能测试之后,建立了结构有限元分析模型,结合夹芯结构的稳定性理论解析模型,并对复合材料泡沫夹芯结构的胶接修理压缩性能进行验证。结果表明:通过试验结果简化了有限元分析模型中的胶层设置;应用复合材料夹芯结构的稳定性理论解析模型,能够快速获得复合材料夹芯维修结构的侧压极限载荷上限值;复合材料泡沫夹芯修理结构的主要侧压破坏模式为面板一阶与二阶屈曲失效,该结果说明复合材料泡沫夹芯修补结构的有限元模型与解析稳定性理论模型的计算精度较高,具有较强的工程实用性。     

轻质量低成本无人机舵面结构优化与验证

复合材料蜂窝夹芯结构因其高比强度、比模量及可设计性而广泛应用于航空飞行器结构。文章提出了 1种轻质量、低成本舵面结构方案——通过增大蜂窝芯密度使其剪切模量提高,进而降低复合材料面板应力水平,减小面板厚度。首先,根据理论选择通过增大蜂窝密度提升蜂窝剪切模量;然后,对结构进行有限元计算与分析,发现蒙皮应力水平随蜂窝芯剪切模量增大而显著降低;最后,设计不同蜂窝芯密度的蜂窝夹芯结构进行试验。试验结果证明,蜂窝芯越致密,其典型力学性能越高,冲击后的剩余强度也越高。     

3D打印夹芯复合材料模拟冰型设计与分析

适航取证是所有民用飞机走向市场投入使用的必经环节。根据适航条例,测试机完成模拟冰型试飞是必须进行的Ⅰ类风险试飞课目,以考察飞机综合的气动以及操作稳定性能。由于真实结冰飞行测试难度大风险高,因此开展模拟冰型的研究设计格外重要。以某民用飞机机翼自然结冰过程为研究对象,首先,确定研究飞机的临界冰型,设计模拟冰型结构以及采用3D打印夹芯材料制作复合材料模拟冰型;其次,通过CFD仿真得到带冰模型在极端工况下所承受的气动载荷,利用有限元分析得到模拟冰型的破坏强度以及破坏形式;最后,通过静力试验验证仿真结果的有效性,继而验证3D打印夹芯复合材料模拟冰型设计方案的可行性。     

复合材料、蜂窝夹层和/或金属结构有限元分析

本文针对复合材料层钣的特点发展一种新的层钣有限元分析方法,建立了等参体元、超参壳元、体-壳过渡元及元外节点元的刚度矩阵。这些元素适用于各向同性材料、正交异性材料、蜂窝夹层和/或复合材料层钣的有限元分析,可以逼真地描述形状复杂的结构;还可以用来解决当前复合材料层钣研究的重大课题——层间应力计算问题。从工程应用出发,探讨了上述各种结构的最大承载能力,利用增量变刚度法提出一种解决复合材料这一非线性问题的分析方法。文中给出了一些算例,计算结果表明,所述方法是十分有效的。     

含低速冲击损伤层压板的压缩破坏研究

对复合材料的结构损伤演化过程的研究在飞机结构设计中具有越来越重要的工程指导意义。针对含低速冲击损伤层压板的压缩分析,提出了一种考虑层间损伤的三维有限元模型,该模型通过层间节点耦合方式,将复合材料层压板各子层粘合到一起,能准确、形象的模拟层间的相互作用。同时,基于累积损伤思想开发了复合材料层压板压缩过程的损伤仿真程序,该...     

复合材料层板钉群连接载荷分配计算方法研究

采用有限元方法对复合材料层板钉群机械连接载荷分配进行了研究,考虑钉弹性与层板厚度的影响,文中针对两种计算钉群载荷分配的工程化计算模型进行了对比分析,指出本文所采用模型的合理性,并以单排三钉为例通过计算结果与试验结果对比,证明本文所提出的计算模型有效,且计算精度高,使用方便.本文研究了搭接形式以及钉间距对钉载荷分配的影响,并对航空结构中常见的几种规则与非规则排列钉群连接载荷分配进行了分析计算与研究,得出的结论为复合材料层板多钉连接设计提供了有用的工程参考价值.     

蜂窝夹芯结构板芯脱胶修补研究

 针对复合材料蜂窝夹芯结构面板与芯子脱胶损伤问题, 提出一模拟面板、胶层及芯子的有限元模型,采用NASTRAN 分析软件计算了板芯脱胶结构的剩余强度及修补后的强度恢复。研究了脱胶区域大小对剩余强度的影响及胶接修补质量对强度恢复的影响。     

二维变厚板的J积分分析

本文将J.R.Rice提出的J积分公式扩充应用到二维变厚板。本文把变厚度的影响以修正项形式引入J积分公式,从而推导出二维变厚板的J积分扩充表达式。