【摘要】：為構(gòu)造一種更加精準(zhǔn)的黏彈性時(shí)溫等效模型,基于黏彈性阻尼材料的分?jǐn)?shù)階本構(gòu)關(guān)系和Vogel-Fulcher-Tammann黏度方程,結(jié)合WLF(Williams-Landel-Ferry)方程,提出了黏彈性阻尼材料動(dòng)態(tài)力學(xué)性能的分?jǐn)?shù)階時(shí)溫等效模型(fractional time-temperature superposition model,FTTSM),導(dǎo)出頻率轉(zhuǎn)化因子,并給出參數(shù)識(shí)別方法。在DMA(dynamic thermomechanical analysis)試驗(yàn)數(shù)據(jù)的基礎(chǔ)上,對(duì)比研究了FTTSM和WLF兩種模型,并應(yīng)用分?jǐn)?shù)階Kelvin-Voigt模型對(duì)二者在參考溫度5℃的主曲線進(jìn)行了驗(yàn)證。結(jié)果表明,FTTSM和WLF所表征的頻率轉(zhuǎn)化因子在溫度范圍( 80~80℃)內(nèi)最大相對(duì)誤差為0.984 4%,FTTSM主曲線和WLF主曲線相對(duì)于Kelvin-Voigt模型理論預(yù)測(cè)值的均方根誤差(RMSE)分別為1.291和1.834 MPa,驗(yàn)證了FTTSM的精確性。另外FTTSM主曲線擴(kuò)展的最低頻域低于WLF主曲線2個(gè)數(shù)量級(jí),證明FTTSM對(duì)黏彈性動(dòng)態(tài)力學(xué)特性具有更廣泛的預(yù)測(cè)能力。為黏彈性材料動(dòng)態(tài)性能預(yù)測(cè)、物理老化、蠕變損傷演化機(jī)理等研究提供理論參考。
[Abstract]:In order to construct a more accurate time-temperature equivalent model of viscoelasticity, based on fractional constitutive relation and Vogel-Fulcher-Tammann viscosity equation of viscoelastic damping materials, WLF (Williams-Landel-Ferry) equation is combined. A fractional time-temperature equivalent model (fractional time-temperature superposition model,FTTSM) for the dynamic mechanical properties of viscoelastic damping materials is proposed. The frequency conversion factor is derived and the parameter identification method is given. On the basis of DMA (dynamic thermomechanical analysis) test data, two kinds of models, FTTSM and WLF, are compared and studied, and the main curves of the two models at reference temperature of 5 鈩，

本文編號(hào)：2380534