形状记忆合金（SMA）混杂复合材料板是将有预应变的SMA纤维与普通纤维混杂埋入单层内构成的。基于主动应变能调节（ASET）的概念，可实现对板的固有频率的调整。本文采用Galerkin法导出形状记忆合金（SAM）纤维混杂对称正交智能复合材料铺层板自由振动的频率的分析表达式。数值结果表明，SMA纤维的相变激发温度、体积含量、分布方式及其预应变对固有频率均有的影响，尤其是温度、SMA含量及其分布的作用更为显著，是结构振动控制的重要设计参数。

本文作者采用细观力学阻尼理论，分析SMA纤维和普通纤维混杂的单向单层材料的阻尼性能，给出材料在6个方向上的阻尼性能计算公式，通过数值算例讨论NiTi的阻尼混杂效应。

由形状记忆合金纤维、普通纤维、基体构成的混杂复合材料是一类用途广泛的智能材料结构系统。阻尼性能研究是结构被动振动控制的一项重要研究内容。本文采用混杂复合材料阻尼预测的细观力学理论计算SMA纤维混杂复合材料单层的阻尼特性。首先计算包含普通纤维和基体材料的复合材料介质的阻尼性能，其次计算由横观各向同性介质和SMA纤维构成的混杂材料的阻尼性能。通过计算实例分析SMA纤维混杂复合材料单层的正轴阻尼特性及其偏轴阻尼的特性随SMA纤维体积含量、纤维铺设角等参数改变的规律。

研究由形状记忆合金（shape memocy alloy，简写为SMA）SMA约束层、SMA纤维混杂叠层材料构成的复合材料矩形板的阻尼性能。采用多胞模型和细观力学阻尼分析方法，分别预测叠层复合材料单层的弹性性能和阻尼性能，在叠层材料中计入横向剪切变形的影响。在导出矩形板的应变能和耗散能的基础上，根据最大应变能理论建立板的模态阻尼比的数学表达式。数值结果表明，文中提出的含有SMA约束层的刚A纤维叠层复合材料的集成阻尼设计方法，是一种有效的阻尼增强方案。

首先，针对发展性能先进的新一代飞行器所涉及到的非线性气动弹性理论与分析技术，结合国内外研究进展情况，着重从建模技术、求解方法、非线性气弹特性分析儿个方面进行概括总结。其次：对在飞行器设计中一直颇受关注的、智能材料在飞行器结构颤振及振动主动控制中应用研究现状也给予简要的介绍。最后指出一些尚待进一步研究的问题。

随着纤维增强复合材料不久将逐步取代传统的金属材料，广泛用于新型民用超音速飞机、水下核潜艇、高速列车等尖端科学技术领域，对这一先进材料的有效阻尼性能进行分析、预报和优化设计，从而实现结构振动、冲击、噪声和疲劳破坏的有效控制，必将显示出极为重要的工程实际意义，日益受到从事复合材料研究和开发的科技工作者的关注和重视。对纤维增强复合材料阻尼研究的进展情况进行综述，介绍从宏观力学和细观力学两个角度进行阻尼分析和预报的一些具有代表性的模型与方法，讨论了纤维/基体界面、层合结构横向剪切效应、层间应力的影响问题，阻尼性能增强的途径和最优化设计问题，并对该领域研究工作进行了展望。

研究了形状记忆合金（SMA）纤维混杂复合材料大挠度层合板的非线性自由与受迫振动特性。基于描述SMA力学行为的Brinson理论以及层合板材料性能预测的混合率，建立了SMA纤维混杂复合材料大挠度层合板的本构方程，基于对称层合各向异性弹性板的非线性理论，建立了以横向挠度和应力函数表示的板的横向振动方程和相容方程。采用Galerkin近似解法将振动方程化为时间变量的含有三次非线性项的Duffing型常微分方程,采用谐波平衡法（HBM）获得系统的固有频率方程和强迫振动稳态频率响应方程。数值计算表明：非线性板自由振动频率比与激励温度的关系具有与线性板相同的特征，马氏体相向奥氏体相转变阶段温度对板的振动频响特性曲线的影响最显著，同时也讨论了SMA纤维含量、板的纵横比以及自由振动幅值对板的非线性频率比的影响。

The free and forced vibration of large deformation composite plate embedded with shape memory alloy (SMA) fibers is investigated. A thermo-mechanical constitutive equation of SMA proposed by Brinson et al. is employed and the constitutive equations for evaluation of the properties of a hybrid SMA composite laminate are obtained. Based on the nonlinear theory of symmetrically laminated anisotropic plates, the governing equations of flexural vibration in terms of displacement and stress functions are derived. The Galerkin method has been used to convert the original partial differential equation into a nonlinear ordinary differential equation, which is then solved with harmonic balance method. The numerical results show that the relationship between nonlinear natural frequency ratio and temperature for the nonlinear plate has similar characteristics compared with that of the linear one, and the effects of temperature on forced response behavior during phase transformation from Martensite to Austenite are significant. The effects of the volume fraction of the SMA fiber, aspect ratio and free vibration amplitude on the dynamical behavior of the plate are also discussed.

We present new oscillation criteria for the differential equation of the form [r(t)U(t)]1+p(t)k2(x(t),x1(t))lx(t)vU(t)+q(t)φ(x(gl(t)),x1(g2(t)))f(x(t))=O, where U(t)=kl(x(t),x'(t))/x'(t)/α-1x1(t),a<β,v=(β-α)l(α+1). Our research is different from most known ones in the sense that Hfunction is not employed in our results, though Riccati's substitution and its generalized forms are used. Our criteria which are established under quite general assumptions are an extension for previous results. In particular, by taking β=α, the above-inentioned equation can be reduced into the various types of equations concerned by people currently.

The constitutive equations relating cross-sectional loads (forces and moments) to cross-sectional displacements (stretching, bending, twisting) of thin-walled laminated beams with integral shape memory alloy (SMA) active fibers is presented. The variational asymptotic method is used to formulate the forcedeformation relationships equations accounting for the presence of active SMA fibers distributed along the cross-section of the beam. The constitutive relationships for evaluation of the properties of a hybrid SMA composite ply are obtained following the rule of mixtures. The analytical expressions of the actuation components for the active beam are derived based on Tanaka’s constitutive equation and Lin’s linear phase transformation kinetics for SMA fiber. The general form of constitutive relation is applied to the cases of extension-twist coupling, corresponding to Circumferentially Uniform (CUS) and bending-twist coupling, corresponding to Circumferentially Anti-Symmetric (CAS). The present analysis extends the previous work done for modeling generic passive thin-walled laminated beams. Numerical results show that significant extension, bending and twisting deflection occur during the phase transformation due to SMA actuation. The effects of temperature on structural response behavior during phase transformation from martensite to austenite are significant. The effects of the volume fraction of the SMA fiber, the martensitic residual strain and ply angle are also addressed.