Analysis of chaotic vibrations for the distributed systems in the form of the Bernoulli-Euler beams using the wavelet transform

A problem on chaotic vibrations of the Bernoulli-Euler beams is formulated. The wavelet transform was first applied to investigate the complex beam vibrations. The validity of results was provided by using two methods of solution, namely, the finite element method and finite difference method.     

Nonlinear dynamics of antennas in space communication facilities

A mathematical model of complex vibrations for the cantilever Bernoulli-Euler beam in the XOZ plane constructed by the finite difference and finite element methods and the fourth-order Runge-Kutta method is presented. We determined the critical value of the damping coefficient ɛ = 0.28, at which the system changes from the dissipative state to conservative one, using the Morlet wavelet. The results of analyzing the frequency characteristics of the system are presented.     

蜂窝夹芯结构面内等效弹性参数的分析研究

针对Bernoulli Euler梁法计算蜂窝夹芯等效弹性参数的不足,利用3D有限元数值模拟技术,通过对不同材料、不同尺寸的正六边形蜂窝夹芯弹性参数进行数值模拟,给出了芳纶纸面内等效刚度和Poisson比随蜂窝夹芯几何参数变化关系,提出了等效弹性参数的计算公式和一种循环优化设计蜂窝夹芯板厚度的新思想,得到了一些Bernoulli Euler梁法无法得到的重要结论:正六边形蜂窝夹芯结构y方向的弹性模量大于x方向的1.5倍;等效Poisson比仅与蜂窝夹芯几何参数有关,而与材料常数无关等。最后通过与文献[11]铝质蜂窝夹芯的压缩实验结果比较,证实了本文所使用方法的有效性和部分公式的正确性。     

多点敷设支撑层的粘弹性约束阻尼梁振动分析

针对夹层约束阻尼梁结构的减振特性进行深入研究,在其基础上扩展多处敷设增设支撑层的约束阻尼,建立了多点铺设增设支撑层约束阻尼梁的振动特性模型,利用粘弹性材料的Maxwell模型、假设模态法、有限元理论和力学原理,结合功能特性方程和Lagrange方程,导出了增设支撑层约束阻尼梁的振动位移响应方程.通过对敷设双支撑约束阻尼简支梁在支撑层厚度变化的参数研究,可以看到增设适当厚度的支撑层能够达到更好的减振效果.     

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。     

一种准确预测层合梁结构层间剪应力的新锯齿理论

层合梁是航空航天领域典型的承力构件,而过大的层间剪应力（层间处的横向剪应力）是导致其分层失效的主要原因。针对常见的层数较多的复合材料层合梁以及材料属性差异较大的三明治夹层梁,现有的理论模型仍然无法准确预测其横向剪应力。通过构造一个新的线性分段锯齿函数,提出了一种能够准确预测层合梁结构横向剪应力的新锯齿理论模型。几个典型的数值算例表明,本文提出的新锯齿理论模型在计算层数较多和材料属性差异较大的层合梁时,具有较高的计算精度,能够准确预测层合梁的分层。另外,该模型预先满足横向剪应力层间连续条件,无需三维平衡方程后处理就能够准确预测层合梁的横向剪应力。位移场中未知量个数少,不含横向位移的一阶导,便于C⁰梁单元的构造。     

X-cor夹层结构压缩强度模型改进与实验验证

详细阐述了X-cor夹层结构固化工艺过程中残余应力的产生过程,分析结果为碳纤维Z-pin受残余拉应力.考虑工艺过程残余应力的影响,将Z-pin视为弹性基础上梁,提出一种X-cor夹层结构压缩强度改进计算模型,并计算其压缩强度.制作了不同Z-pin密度、直径和角度的X-cor夹层结构实验件用于压缩强度实验.实验值和模型计算值的对比验证了该压缩强度计算模型的正确性.工艺过程中Z-pin所受残余拉应力随Z-pin直径、植入密度增加而增加,随Z-pin植入角度增加而减小.      

Vibrations of circular sandwich plates connected with an elastic foundation

The results of analyzing axisymmetric forced vibrations of an elastic circular sandwich plate connected with an elastic foundation under different surface loads are presented. The hypotheses of a broken normal are accepted to describe the kinematics of a package that is nonsymmetrical over the thickness. The analytical solutions of a problem for plates with a light filler are obtained and numerical analysis is carried out.     

多孔材料夹层结构声辐射特性的两尺度拓扑优化设计

基于均匀化计算理论结合结构构型设计和材料构型设计,建立以声辐射功率为目标的两尺度材料/结构协同优化模型,针对夹层结构声学设计问题,开展了声辐射特性拓扑优化研究。分别给出了声辐射功率对宏观和微观设计变量的灵敏度,结合移动渐近线法(MMA)实现了材料/结构两尺度设计。结果表明,声辐射功率两尺度优化改变了夹层结构各阶主振型的形状和顺序,同时也改变了被激发的振型。此外,算例研究了激励频率和约束对优化结果的影响以及声辐射功率目标优化的特殊现象。     

压缩载荷下夹层结构斜坡过渡区域性能分析

建立了泡沫夹层结构斜坡过渡区域的三维(3D)有限元模型,进行了斜坡过渡区域的坡度角分析优化。基于有限元分析软件MSC.Patran/Nastran,建立了考虑斜坡过渡区面板铺层递减的泡沫夹层结构的有限元模型,研究了结构在单轴压缩载荷作用下的力学行为,进一步讨论了坡度角对于夹层结构过渡区域结构强度和稳定性的影响规律。研究结果表明,泡沫夹层结构坡度角在25°~30°时能够达到提高结构承载能力及减轻结构质量的双重目的。     

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.     

Active vibration control of piezoelectric bonded smart structures using PID algorithm

Thin-walled structures are sensitive to vibrate under even very small disturbances. In order to design a suitable controller for vibration suppression of thin-walled smart structures, an electro-mechanically coupled finite element(FE) model of smart structures is developed based on first-order shear deformation(FOSD) hypothesis. Considering the vibrations generated by various disturbances, which include free and forced vibrations, a PID control is implemented to damp both the free and forced vibrations. Additionally, an LQR optimal control is applied for comparison.The implemented control strategies are validated by a piezoelectric layered smart plate under various excitations.     

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...     

某夹芯结构抗鸟撞分析与设计

 为了对某飞机中的挡板结构进行优化设计,以PAM-CRASH显式有限元分析软件作为平台,对某飞机中的蜂窝夹芯挡板结构地面抗鸟撞试验过程进行了数值仿真分析,并将挡板结构破坏失效的数值模拟结果与试验结果进行了对比,二者的一致性表明了抗鸟撞计算方法的合理性.在此基础上对原挡板结构设计进行改进,并利用鸟撞计算方法考核其抗鸟撞性能.最后,对改进结构进行了地面鸟撞试验.试验结果表明改进结构能够满足抗鸟撞设计要求,表明了设计方法的合理性,为飞机结构抗鸟撞设计提供了一定的技术支持.     

基于工程应用的蜂窝夹层结构有限元建模方法

通过对蜂窝夹层结构受力特性的分析,提出了"组合元素法"的有限元建模方法,并通过典型受力蜂窝夹层结构的理论计算以及典型蜂窝壁板的强度试验,验证了方法的有效性,解决了飞机运动翼面复合材料蜂窝夹层结构的强度设计难题,同时也为航空、航天等其他类似结构的强度设计提供了借鉴和参考.     

Vibrations of a shell with the discretely attached dynamic subsystem

A problem on low vibrations of a thin spherical shell is considered. A solid of finite dimensions is discretely attached to the shell by means of an elastic rod system. The calculation examples are presented.     

一种蜂窝夹层有限元

 在航空结构,特別是翼面结构中,随着复合材料的应用,蜂窝夹层结构应能得到更加广泛的应用。我们研制的金属及复合材料应力分析程序——YJS851中发展了一种蜂窝层元素,通过不同算例考核,其结果是满意的。现已用于某型飞机的打样计算。用美国的MSC/NASTRAN程序对同一模型作了计算,二者结果几乎没有差别。同时与MSC/NASTRAN相比,我们发展的程序使用方便,价格便宜。     

An advanced five-unknown higher-order theory for free vibration of composite and sandwich plates

Accurate prediction of dynamic characteristics is quite critical to understand the strength of layered structures. Nevertheless, the existing five-unknown higher-order theories encounter difficulties to forecast accurately the dynamic response of sandwich structures. Therefore, a new five-unknown higher-order theory is developed for free vibration analysis of composite and sandwich plates, which possesses the same degree of freedom as those of other five-unknown higher-order theories. The developed model can meet beforehand interlaminar continuity conditions and the free-surface conditions of transverse shear stresses. To assess capability of the proposed model, analytical solution for such composite structures with simply-supported conditions has been presented by employing Hamilton’s principle, which is utilized for analysis of mechanical behaviors of composite and sandwich plates. Compared with the three-dimensional (3D) elasticity solutions, 3D finite element results and the results obtained from the chosen five-unknown higher-order models, the proposed model can yield accurately natural frequencies of composite and sandwich plates. Even for the thick plates, the higher-order frequencies calculated from the proposed model are in good agreement with the 3D finite element results. By studying effect of the thickness/length ratios on natural frequencies, it is found that the proposed model is adaptable to predicting natural frequencies of the sandwich plates with the thickness/length ratios between 1/4 and 1/100. In addition, some factors influencing accuracy of five-unknown higher-order models have been investigated in detail. Finally, by means of numerical analysis and discussion, some conclusions have been drawn as well, which can serve as a reference for other investigators.     

夹层板大挠度问题的力学表征与数值模拟

随着材料制备工艺的发展和成型加工技术的日趋完善,夹层板在现代航空领域结构设计中获得了广泛应用,以获得理想的重量及其它功能性指标,工程分析时往往利用薄板理论进行近似分析,这忽略了夹层板的良好的抗弯特性,给分析结果带来较大误差.在薄板大挠度问题及夹层板相关理论的基础上,提出分段叠加法分析大挠度夹层板的变形机理,并利用有限元进行了数值模拟,结合某型飞机蜂窝轮舱壁板静力试验验证了夹层板大挠度变形机理的合理性,证明了叠加法的有效性.     

激光焊接机大理石横梁的有限元分析

采用有限元分析方法,设计了激光焊接机大理石横梁,利用Solid Works建立了大理石横梁的三维实体模型,使用ANSYS有限元分析软件,分析大理石横梁的静动态特性,为横梁的设计提供了理论基础和有效方法,对高精度激光焊接机产品的研发具有指导意义。