基于均匀化方法的缝纫层压板拉伸弹性模量有限元预测

利用均匀化方法研究缝纫复合材料层压板的弹性性能，给出了相应的数学分析模型。建立了有限元分析的单胞模型，并进行求解。计算结果表明，利用这种半解析模型可以得到缝纫层压板的弹性模量的上下限，其平均值与实验结果平均值吻合得很好。     

Sound insulation performance of plates with interconnected distributed piezoelectric patches

This paper deals with the sound insulation performance of a thin plate with intercon-nected distributed piezoelectric patches. Piezoelectric patches are periodically bonded on the sur-faces of the plate in a collocated fashion, and are interconnected via an inductive circuit network. This piezoelectric system is termed as piezo-electromechanical (PEM) plate in the paper. Homogenization methods are involved under a sub-wavelength assumption to analytically develop the dynamical equations for the PEM plate. The dispersion relationships and energy densities of the wave modes propagating in the PEM plate are studied;the sub-wavelength assumption is verified for the simulations in this paper. The coincidence frequency of the PEM plate is researched, and results show that the coincidence frequency of the PEM plate will disappear at certain circum-stances;mathematical and physical explanations are made for this phenomenon. The disappearance of the coincidence frequency is used to optimize the value of inductance, for the purpose of improv-ing the sound transmission loss of the PEM plate.     

Investigation of dynamics of discrete framed structures by a numerical wave-based method and an analytical homogenization approach

In this article, the analytical homogenization method of periodic discrete media (HPDM) and the numerical condensed wave finite element method (CWFEM) are employed to study the lon-gitudinal and transverse vibrations of framed structures. The valid frequency range of the HPDM is re-evaluated using the wave propagation feature identified by the CWFEM. The relative error of the wavenumber by the HPDM compared to that by the CWFEM is illustrated in functions of fre-quency and scale ratio. A parametric study on the thickness of the structure is carried out where the dispersion relation and the relative error are given for three different thicknesses. The dynamics of a finite structure such as natural frequency and forced response are also investigated using the HPDM and the CWFEM.     

低膨胀高温合金GH907和GH909的铸态组织及其均匀化处理

本文研究了低膨胀高温合金GH907、GH909铸态组织中偏析的性质,偏析对合金组织的影响,以及消除偏析的方法。     

卫星结构的拓扑优化与灵敏度分析

在已知某卫星主承力结构的空间大小、约束及载荷条件的情况下，通过对一连续体进行拓扑优化得出主承力结构的最优结构形式。并在此基础上对卫星上十五个结构参数进行了灵敏度分析和尺寸优化，计算结果证明由连续体通过拓扑优化得到桁架结构的最优拓扑是可行的，若再结合灵敏度分析及尺寸优化，可以大幅度减轻卫星结构重量，改善卫星结构的动力特性。     

基于均匀化方法的三维编织复合材料等效弹性性能预测

由于三维编织复合材料具有复杂的空间拓扑结构,其力学性能分析通过宏观有限元方法往往因为占用大量的计算机内存而难以实现。从细观结构入手,计算材料的等效弹性模量可大大降低计算量。现建立了等效弹性模量的均匀化列式及有限元求解方法,运用该方法对三维编织复合材料的等效弹性性能进行了预测,并提出了三种单胞模型的周期性边界条件的施加方法。通过该方法得到等效弹性模量与实验结果较为吻合,从而有利于进行下一步的细观应力场计算。     

A method of determining effective elastic properties of honeycomb cores based on equal strain energy

A computational homogenization technique (CHT) based on the finite element method (FEM) is discussed to predict the effective elastic properties of honeycomb structures. The need of periodic boundary conditions (BCs) is revealed through the analysis for in-plane and out-of-plane shear moduli of models with different cell numbers. After applying periodic BCs on the represen-tative volume element (RVE), comparison between the volume-average stress method and the boundary stress method is performed, and a new method based on the equality of strain energy to obtain all non-zero components of the stiffness tensor is proposed. Results of finite element (FE) analysis show that the volume-average stress and the boundary stress keep a consistency over different cell geometries and forms. The strain energy method obtains values that differ from those of the volume-average method for non-diagonal terms in the stiffness matrix. Analysis has been done on numerical results for thin-wall honeycombs and different geometries of angles between oblique and vertical walls. The inaccuracy of the volume-average method in terms of the strain energy is shown by numerical benchmarks.     

Enhanced ultrasonic total focusing imaging of CFRP corner with ray theory-based homogenization technique

Ultrasonic testing is effective in defect characterization and quality assurance of Carbon Fiber Reinforced Plastic (CFRP) components in the aerospace industry. Due to the coupling between complex shape and elastic anisotropy, the Phased Array Ultrasonic Testing (PAUT) and time-based Total Focusing Method (TFM) face significant challenges in the calculation of wave propagation. A wave velocity distribution model is established for a multidirectional convex corner of CFRP based on a homogenization theory and the above coupling effects are also incorporated. A ray-tracing method is proposed based on Dijkstra’s shortest path search algorithm. The predicted time of flight ensures that this technique, the homogenized TFM, could synthesize a high-quality focused image by post-processing on the full matrix capture data. Experiments on a laminate with three ?1.5 mm Side-Drilled Holes (SDHs) in different circumferential directions confirm a successful homogenized TFM imaging that all SDHs can be effectively detected. As compared to the isotropic scenario, the maximum positioning error is reduced to 0.12, 0.08, and 0.38 mm, and the Signal-to-Noise Ratios (SNRs) are increased by 2.1, 1.1, and 11.8 dB, respectively. It is suggested that the ray-tracing assisted TFM technique can effectively improve the imaging of corners in CFRP components.