分数阶微分双参数黏弹性地基矩形板动力响应

基于弹性地基Pasternak双参数模型,利用分数阶微分得到黏弹性地基双参数模型,并在此基础上建立采用分数阶微分Kelvin模型的双参数黏弹性地基上弹性和黏弹性矩形板在动荷载作用下的动力方程;利用Galerkin方法和分段处理的数值计算方法求解四边简支的弹性和黏弹性地基板的动力方程,通过自由振动算例验证该求解方法的正确性;并分析冲击动荷载作用下分数阶微分Kelvin模型的分数阶、粘滞系数、水平剪切系数和模量参数对位移响应的影响。结果表明：分数阶微分黏弹性模型可以描述不同黏弹性材料的力学行为;分数阶取值0.5前后,矩形板位移响应值出现了不同的衰减发展形态;粘滞系数、水平剪切系数和模量系数取值越大,位移响应衰减速度越快。     

基于分数阶黏弹性模型的混凝土阻尼频率相关性研究

阻尼作为反映耗能特征的参数,对动态荷载下结构响应有重要影响。针对强迫振动条件下循环荷载形式对混凝土材料阻尼的影响,结合普通混凝土试验数据并收集152组文献测试结果,详细分析了混凝土材料阻尼与荷载频率的相关性。发现在低频范围时(<3.0 Hz),混凝土材料阻尼均随荷载频率增大呈非线性降低,与经典整数阶黏弹性模型计算规律不符。基于分数阶微积分理论对经典整数阶模型的导数阶数进行改进(0<导数阶数<1),发现修正后分数阶模型能够更好反映混凝土材料阻尼与循环荷载频率在低频时的非正相关性,导数阶数小于0.12,表明混凝土呈现弱黏弹性效应,为混凝土动态性能分析提供一种新的模型选择和参数参考。     

基于分数阶黏弹性模型的温拌改性沥青低温性能

基于分数阶黏弹性模型,通过低温弯曲梁流变试验（BBR）分析RH和Evotherm温拌剂对苯乙烯-丁二烯-苯乙烯嵌段共聚物（SBS）改性沥青低温性能的影响。结果表明：利用BBR试验数据拟合出的分数阶黏弹性模型参数可较好地预估温拌改性沥青的蠕变柔量和蠕变速率; RH温拌剂可以提高SBS改性沥青的阻尼比和耗散能比,但Evotherm温拌剂在低于-18℃时不能够提高;因7种沥青按照阻尼比和耗散能比排序相同,故也可以将阻尼比作为温拌改性沥青低温性能的一种评价指标; RH可以改善沥青的蠕变柔量,提高黏性流动柔量,且掺量越高改善效果越好,但不能提高黏弹性比,故不能用黏弹性比评价温拌SBS改性沥青的低温性能,而Evotherm温拌剂的规律性不强;两种温拌剂都在低于-24℃时对SBS改性沥青的低温性能改善不佳。     

基于分数阶导数的苹果果柱蠕变特性研究

为了给果品减损包装设计提供理论依据,降低果品在运输过程中的损耗,研究了果品的蠕变特性。以水晶红富士为实验材料,基于分数阶导数理论,建立了苹果果柱蠕变的分数导数Kelvin模型。结果表明,分数导数Kelvin模型只需要很少的参数,就能够在较长加载历程中表征苹果果柱的蠕变现象。     

CG混合纤维/橡胶复合材料的黏弹性

采用干法混炼工艺制备了CG混合纤维 (炭纤维和玻璃纤维) /橡胶复合材料, 并在热模拟实验机上测定其蠕变曲线和应力松弛曲线, 对其黏弹性进行了研究。结果表明: 当CG混合纤维体积分数小于15 %时, 可提高橡胶的抗蠕变和抗应力松弛性能; 而当CG混合纤维体积分数大于15 %时, 抗蠕变和抗应力松弛性能开始下降。理论推导表明: CG混合纤维/橡胶复合材料的蠕变与应力松弛在数值上互为倒数关系。      

黏土蠕变非线性特性及其分数阶导数蠕变模型

针对黏土蠕变的非线性性质,以成都黏土为研究对象展开蠕变试验,发现黏土变形包括瞬时弹性变形、衰减蠕变变形、稳态蠕变变形和加速蠕变变形;黏土长期弹性模量随时间和应力的增加非线性软化;黏滞系数随应力的增加非线性软化,随时间的增加非线性硬化。基于流变学理论、分数阶微积分理论和Harris衰减函数,分别构建了分数阶导数元件、非线性弹性元件和非线性黏滞元件,从而建立了形式简单、参数较少和概念清晰的非线性分数阶导数蠕变模型。将非线性分数阶导数蠕变模型和Burgers蠕变模型进行对比拟合分析,发现非线性分数阶导数蠕变模型各阶段的拟合结果更好,对黏土非线性蠕变的描述更合理,可准确地反映黏土蠕变全过程,表明了所建立非线性分数阶导数蠕变模型的科学合理性。     

考虑形状参数的分数黏弹性振子频响特性

黏弹性振子为描述黏弹性减振降噪结构的基本物理单元。针对传统黏弹性振子整数阶模型较差的试验拟合性和无几何标度性,提出了考虑形状参数的分数黏弹性振子模型及建立其动力学方程的一般方法,并推导出频响函数。以其中典型分数黏弹性振子（SFVEO）为例研究了频响特性及参数影响性。数值算例表明,幅频响应存在谐峰值,相频响应存在转折频率,两者均受系统参数（固有频率、分数阶数、形状参数和阻尼比）影响;固有频率、阻尼比和形状参数均在低频段对幅频响应有显著影响,分数阶数则在高频段存在明显影响;各参数对相频响应在低频段有明显作用。为黏弹性缓冲减振结构的设计和多目标优化提供理论参考。     

分数阶热弹性理论下中空黏弹性圆柱热弹耦合动力响应EI北大核心CSCD

基于Ezzat型分数阶广义热弹性理论,引入Kelvin-Voigt黏弹性模型建立了黏弹性中空圆柱热弹耦合动力模型,探讨了黏弹性中空圆柱热弹耦合问题。中空圆柱体内外表面均有一定约束,且在其外表面处施加热冲击作用。给出Ezzat型分数阶双相滞后广义热弹性理论下问题的控制方程,结合Laplace变换和数值反变换技术对控制方程进行求解,最终得到中空圆柱中无量纲位移、温度、径向应力和环向应力的分布规律,并分析了黏弹性松弛时间因子和分数阶系数对各物理量的影响。结果表明:黏弹性松弛时间因子对于无量纲温度外的所有物理量均有明显影响,但对径向应力和环向应力的影响更为明显;分数阶系数对于所有物理量均有明显影响,在曲线峰值或谷值处影响最显著。     

木塑复合材料蠕变特性及预测方法的研究进展

木塑复合材料(WPCs)已广泛应用于建筑外墙板、户外铺板、室内装饰、园林景观、汽车内饰等非承重结构材料领域,但由于线型或支链型热塑性聚合物固有的粘弹特性决定了 WPCs在受到长期力载荷时易发生蠕变变形,严重影响其作为承重结构材使用.因此抗蠕变是木塑产业界面临的重大技术瓶颈,也是学术界关注的核心科学问题.为更好地了解并改...     

蒙脱土填充木塑复合材料的弯曲性能和蠕变特性

对蒙脱土进行有机插层改性制得有机蒙脱土(OMMT),用硅烷接枝木粉制备了有机蒙脱土/木粉/聚氯乙烯(OMMT/WF/PVC)纳米复合材料。加入的接枝木粉与OMMT分散在界面上起增强作用,有助于提高复合材料性能。用质量分数1.5%的偶联剂处理木粉,添加质量分数1.5%的OMMT时,复合材料的弯曲性能和抗蠕变性最好。用KWW模型和广义Voigt模型分析了蠕变曲线。     

基于Timoshenko梁理论的斜置隔振系统功率流特性分析

针对工程中常见的斜置隔振装置,建立了复杂振源激励、粘弹性斜置支承与基础梁结构三维耦合隔振系统动力学模型。把隔振器模化为Timoshenko梁,给出了梁纵向、弯曲振动导纳。引入粘弹性分数导数模型来描述粘弹性隔振器的动态特性,并考虑隔振支承多维波动效应,推导了耦合系统动态特性传递矩阵及功率流表达式。数值模拟计算表明,粘弹性隔振器是频率相关的;隔振器高频共振形成驻波是输入系统功率下降趋势变缓的主要原因;在中高频域,输人基础的功率随倾斜角增大而降低。     

Creep behavior of unidirectional composites

The creep behavior of the continuous fiber reinforced unidirectional composites due to the viscoelasticity of the resin matrix is investigated assuming that the constituent matrix obeys the nonlinear creep law and the fiber is the linear elastic materials. Utilizing a quasi three-dimensional finite element method, the macroscopic creep behavior of the composites with regular fiber packing is obtained, giving the orthotropic creep law for the composites. Then, the creep of the composites with random fiber packing is estimated applying the random model proposed by Kondo and Saito in which the neat matrix cylinders are embedded in the regular array composites. The theoretical predictions for the creep behavior are compared with the experimental results.     

A three-dimensional micromechanical model to predict the viscoelastic behavior of woven composites

Polymer matrix based cloth composites are increasingly used in engineering applications. For such composites, significant viscoelastic behavior can be observed for dynamic load conditions. The viscoelastic effect is primarily due to the polymeric matrix used as most of the fibers used in structural applications are elastic. Matrix does not show a major contribution in the axial properties of composites, thus in the traditional modeling its viscoelastic nature is often ignored. However, the effective out of plane properties are influenced by the matrix material and exhibit significant damping characteristics. Therefore, a complete three-dimensional (3-D) model considering the viscoelastic nature of matrix is needed for better understanding of cloth composites. An analytical 3-D micromechanical model based on classical laminate theory (CLT) is verified, in this paper for the prediction of effective elastic and viscoelastic properties of a cloth composite. The method is shown to be accurate. This model is extended to the viscoelastic regime with the use of Laplace transform and correspondence principle. Prony series coefficients for composite cloth are obtained for different volume fractions of fibers in yarn. It is observed from the hysteresis plots that dissipation in out of plane normal and shear modes is significantly higher than the normal directions.     

非线性黏弹复合材料有效性质

提出了一个细观力学模型 , 用于预测非线性黏弹聚合物基复合材料的有效性质。该方法利用广义割线模量方法对单积分型热力学本构进行线性化 , 并运用 Laplace变换技术将黏性问题转化为弹性问题。利用热力学本构拟合高密度聚乙烯的实验数据 , 得到基体的材料参数。 利用该模型计算了玻璃微珠填充高密度聚乙烯复合材料(GB/HDPE)在恒应变率下的应力应变关系 , 计算结果与文献实验结果吻合较好。数值计算结果表明 GB/HDPE复合材料表现出明显的非线性力学行为。 该细观力学模型可以很好地预测复合材料非线性黏弹性性质。      

Processing and hygrothermal effects on viscoelastic behavior of glass fiber/epoxy composites

Fiber reinforced epoxy composites are used in a wide variety of applications in the aerospace field. These materials have high specific moduli, high specific strength and their properties can be tailored to application requirements. In order to screening optimum materials behavior, the effects of external environments on the mechanical properties during usage must be clearly understood. The environmental action, such as high moisture concentration, high temperatures, corrosive fluids or ultraviolet radiation (UV), can affect the performance of advanced composites during service. These factors can limit the applications of composites by deteriorating the mechanical properties over a period of time. Properties determination is attributed to the chemical and/or physical damages caused in the polymer matrix, loss of adhesion of fiber/resin interface, and/or reduction of fiber strength and stiffness. The dynamic elastic properties are important characteristics of glass fiber reinforced composites (GRFC). They control the damping behavior of composite structures and are also an ideal tool for monitoring the development of GFRC’s mechanical properties during their processing or service. One of the most used tests is the vibration damping. In this work, the measurement consisted of recording the vibration decay of a rectangular plate excited by a controlled mechanism to identify the elastic and damping properties of the material under test. The frequency amplitude were measured by accelerometers and calculated by using a digital method. The present studies have been performed to explore relations between the dynamic mechanical properties, damping test and the influence of high moisture concentration of glass fiber reinforced composites (plain weave). The results show that the E’ decreased with the increase in the exposed time for glass fiber/epoxy composites specimens exposed at 80^∘C and 90% RH. The E’ values found were: 26.7, 26.7, 25.4, 24.7 and 24.7 GPa for 0, 15, 30, 45 and 60 days of exposure, respectively.     

Creep and recovery of nonlinear viscoelastic materials of the differential type

In this work, the creep and recovery properties of rubberlike viscoelastic materials in simple shear are studied by two special constitutive equations for isotropic, nonlinear incompressible viscoelastic material of the differential type. The creep and recovery processes are of significant importance to both the mechanics analysis and engineering applications. The constitutive equations introduced in this work generalize the Voigt-Kelvin solid and the 3-parameter model of classical linear viscoelasticity. They describe the uncoupled non-Newtonian viscous and nonlinear elastic response of an isotropic, incompressible material. The creep and recovery processes are treated for simple shear deformation superimposed on a longitudinal static stretch. Closed form solutions are provided and both processes are described effectively by the exponential function.     

Fiber orientation dependence of continuous carbon/epoxy composites nonlinear viscoelastic behavior

The effect of fiber orientation on the nonlinear viscoelastic response of a unidirectional fiber polymeric system is examined. Based on Schapery’s nonlinear viscoelastic equation and a model for the prediction of the nonlinear parameters, the nonlinear behavior of carbon/epoxy composite off-axis specimens is studied in order to achieve a complete characterization of an orthotropic system. The stress dependence of the parameters of the nonlinearity, introduced in the model is achieved and applied through a generic function developed and already confirmed [Compos. Sci. Technol. 58 (6) (1998) 883; Composites Part A 30 (7) (1999) 839; Progress in Durability Analysis in Composites Systems Conference Proceedings, DURACOSYS 97, Blacksburg, Virginia, USA, 14–17 September, 1997, Balkema Publishers, pp. 271–278; Compos. Sci. Technol. 59 (9) (1999) 1311] in the isotropic case. Verification of the model in the case of orthotropy is performed through a series of creep tests in composite specimens at various fiber orientations. The estimated values indicate an increase in the nonlinearity as the applied stress increases, while satisfactory predictions of the nonlinear parameters can be achieved, using the proposed model.     

Bonding analysis of carbon/epoxy composites with viscoelastic acrylic adhesive

This paper focuses on the analysis of viscoelastic bonding strength of carbon/epoxy laminates with different surface treatments. Bonding is a well known technique, and is widely used in many industrial applications. Rigid bonding aims at transferring structural and vibration loads from one laminate to the other. The use of dissipative bonding material also helps reducing structural vibrations in many key applications. In this work, the bonding strength of carbon/epoxy substrates with viscoelastic acrylic adhesive was measured by means of a wedge test. The surface finish, which plays an important role in bonding, was characterized using a surface profiler and the Ondulo^MD system. Surface roughness and concentration of surface porosities were measured to define the quality of the laminate surface. It is shown that the final crack length decreases with increasing wedge penetration rate and increasing density of surface porosities. The surface pre-treatment with primer also reduces crack length, and thus increases fracture energy. The fracture energy ranges between 300 J/m² and 3000 J/m². The proportion of this energy which is due to dissipation in the adhesive, increases with the wedge penetration rate and reaches up to 60% of the total fracture energy.