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中文核心期刊

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

  • 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.

     

    Abstract: The viscoelastic materials are used widely with thedevelopment of new materials, and the nonlinear dynamic behavior inviscoelastic composite structure is becoming increasingly outstanding andimportant. The main purpose of this paper is a study of some nonlineardynamic problems of viscoelastic composite structure under parametricexcitation by using the experimental modeling method. The dynamic modelingmethod based on the theory analysis increases the difficulty on account ofthe complexity of the constitutive relation of viscoelastic materials. So itis one of the important means in the construction of dynamic model tocombine theory with experiment. The establishment of the experimental modelcorresponding to the theoretical model and the related identification theoryof 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 andadding rutile nanoscaled titania from 1% to 10% as reinforcedmaterial. The experiment platform of the nonlinear parametric excitationvibration system is set up. The vibration is investigated for thenanocomposites beam with one end pinned and the other movable support, whenaxial excitation and controlled Drp-frictional forces are applied. By takingthe experimental modeling method and applying to the Incremental HarmonicBalance Nonlinearity Identification, the dynamical equation of theviscoelastic composite beam is then built. Based on numerical simulation,comparisons between theoretical model and experimental system show goodagreement in qualitative and quantitative analysis. The theoretical model isapplicable for a class of composite materials with different weight ratiosof reinforced material and matrix.

     

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