形状记忆合金混杂复合材料薄壁梁主动变形模型  

ACTIVE DEFORMATION MODELS OF SMA FIBER HYBRID THIN-WALLED LAMINATED BEAMS

作　　者：任勇生[1] 刘廷瑞[1] 杨树莲[2] 王晓辉[1] 

机构地区：[1]山东科技大学机械电子工程学院,青岛266510 [2]山东工商学院,烟台264005

出　　处：《固体力学学报》2010年第3期228-236,共9页Chinese Journal of Solid Mechanics

基　　金：山东省自然科学基金项目(Y2006F37)资助.

摘　　要：提出具有变形主动驱动作用的SMA纤维混杂复合材料单闭室薄壁截面梁的力-位移本构关系模型.基于变分渐近法导出具有SMA主动纤维的复合材料薄壁空心梁的二维截面刚度系数以及截面内力(矩)与位移(转角)关系方程,含SMA纤维层合板材料性能由混合率进行预测.基于Tanaka的SMA应力应变关系以及Lin的线性相变动力模型,导出了SMA诱发的轴力、扭矩与弯矩的数学表达式.由该文建立的具有拉伸-扭转-弯曲静变形耦合的一般公式出发,讨论周向均匀刚度配置以及周向反对称刚度配置特殊情形,并给出了简化的本构方程.在不考虑SMA纤维含量和温度变化的情况下,本文的模型可以退化为普通纤维复合材料单闭室薄壁截面梁的已有结果.通过数值计算揭示了SMA对弯曲-扭转静变形特性的作用规律,分析了SMA纤维含量、驱动温度和复合材料铺层角的影响.The constitutive relations are developed for predicting the actuation deformations of thin-walled laminated beams with integrated shape memory alloy（SMA） fibers.The variational asymptotic method is used to formulate the force-deformation equations,accounting for the presence of active SMA fibers distributed along the cross-section of a laminated 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 the Tanaka＇s SMA stress-strain relations and Lin＇s linear phase transformation kinetics for SMA fiber.Two special cases of Circumferentially Uniform Stiffness（CUS） and Circumferentially AntiSymmetric Stiffness（CAS） are discussed in detail through the above general constitutive relation.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 during phase transformation from martensite to austenite are significant.The effects of the volume fraction of the SMA fiber and ply angle are addressed,too.

关 键 词：形状记忆合金纤维 变形主动控制 复合材料薄壁结构 

分 类 号：V257[一般工业技术—材料科学与工程]