黏弹性复合材料梁动力学实验建模的研究  

RESEARCH OF THE DYNAMIC EXPERIMENTAL MODELING FOR VISCOELASTIC COMPOSITE BEAM

作　　者：吴健[1] 叶敏[1] 李兴[1] 窦苏广[1] 

机构地区：[1]浙江大学航空航天学院力学系,杭州310027

出　　处：《力学学报》2011年第3期586-597,共12页Chinese Journal of Theoretical and Applied Mechanics

基　　金：国家自然科学基金资助项目(10672141)~~

摘　　要：以ABS树脂为基材,填充1%～10%的金红石纳米二氧化钛制成纳米复合材料样本系列,搭建了参数激励非线性振动实验系统.采用实验建模的方法,基于非线性增量谐波平衡识别理论,建立了黏弹性复合材料屈曲梁的动力学控制方程.通过数值模拟与实验结果的比较,验证了理论模型和实验系统在定性定量分析上的一致性,并且对一类不同配比成分的纳米复合材料也有很好的适用性.The viscoelastic materials are used widely with the development of new materials,and the nonlinear dynamic behavior in viscoelastic composite structure is becoming increasingly outstanding and important.The main purpose of this paper is a study of some nonlinear dynamic problems of viscoelastic composite structure under parametric excitation by using the experimental modeling method.The dynamic modeling method based on the theory analysis increases the difficulty on account of the complexity of the constitutive relation of viscoelastic materials.So it is one of the important means in the construction of dynamic model to combine theory with experiment.The establishment of the experimental model corresponding to the theoretical model and the related identification theory of nonlinearity system must be considered in the experimental modeling. A series of composite material samples are synthesized by using ABS（acrylonitrile-bu- tadine-styrene copolymer） resin as basic material and adding rutile nanoscaled titania from 1%to 10%as reinforced material. The experiment platform of the nonlinear parametric excitation vibration system is set up.The vibration is investigated for the nanocomposites beam with one end pinned and the other movable support,when axial excitation and controlled Drp-frictional forces are applied.By taking the experimental modeling method and applying to the Incremental Harmonic Balance Nonlinearity Identification,the dynamical equation of the viscoelastic composite beam is then built.Based on numerical simulation,comparisons between theoretical model and experimental system show good agreement in qualitative and quantitative analysis.The theoretical model is applicable for a class of composite materials with different weight ratios of reinforced material and matrix.

关 键 词：参数振动 黏弹性材料梁 实验建模 增量谐波平衡 非线性识别法 

分 类 号：O322[理学—一般力学与力学基础]