应用形式渐近分析和拉普拉斯变换，我们从三维线性粘弹性方程组得到二维线性粘弹性弯壳的数学模型。
By applying formal asymptotic analysis and Laplace transformation, we obtain two-dimensional model system of linearly viscoelastic "flexural" shell from three-dimensional equations.
直接从线性粘弹性基本方程着手，引进位移的一般表达式，将问题归结为求解一个线性积分方程。
From the basic equations of a linear viscoelastic solid, we introduce general expressions of displacement so that the problem is reduced to solving a linear integral equation.
以粘弹性材料松弛型积分本构关系为基础，给出了复合材料层合板的有限元控制方程及相应的有限元分析程序。
It is based on the relaxation integral constitutive relation to give the finite element control equation and analysis program for laminated composite plates.
分析了用曲线拟合估计粘弹性材料线性本构方程模型参数的原理和方法。
The principle and method for fitting and estimation of constitutive equation model parameters are discussed.
在此基础上，分别推导了带有粘弹性材料的筏架结构和艇体与声学介质耦合的动力学运动方程序。
From this, the motion equations of the raft with viscoelastic materials and the motion equations of the cylinder submerged in infinite nuid are obtained respectively.
在此基础上，分别推导了带有粘弹性材料的筏架结构和艇体与声学介质耦合的动力学运动方程序。
From this, the motion equations of the raft with viscoelastic materials and the motion equations of the cylinder submerged in an infinite fluid are obtained respectively.
此外建立了薄板的粘弹性动力方程并给出相应的求解方法。
Also, the viscoelastic dynamic equation for thin plate is established and corresponding method for solution is given.
在线性粘弹性假设条件下，通过引入复弹性模量，使粘弹性波动方程具有和弹性波动方程类似的形式。
Introducing the complex viscoelastic modulus, visco-elastic wave equation has the similar form with elastic wave equation for harmonic wave motion, in case of linear viscoelastic.
对周期载荷作用下，准线性粘弹性本构方程的响应进行了分析，结果表明它不能描述软组织的实验结果。
The analytical results on the quasi-linear viscoelastic constitutive equation under the periodic loading showed that the equation could not describe the experimental results of soft tissues.
粘弹性壳动力学方程组是具有重要理论意义和应用价值的模型。
The dynamic systems of viscoelastic shells are very important models in both theory and applications.
本文提出的反演理论，主要是基于声波波动方程展开讨论和研究的，其研究方法对于弹性波方程和粘弹性波方程同样适应。
The study in the paper is based on acoustic wave equation, but its research methods are also suitable to elastic and viscoelastic wave equation.
利用哈密尔顿原理在积分型本构模型描述基础上建立粘弹性移动梁的控制方程。
Utilizing Hamilton's principle and the constitution relations in an integral form, the governing equations of motion for an axially moving viscoelastic beam is derived.
将覆盖层单元近似为粘弹性圆柱管，导出轴对称波的特征方程。
Approximating the unit of coating as hollow viscoelastic cylindrical shell, an eigen equation of the axisymmetric waves is derived.
文中还给出了改写后的动力方程，这种动力方程非常适合在设置粘弹性单元的结构中进行时程分析。
We have presented the rewrited dynamical equation, that is fit to process course analysis in the structure with viscoelastic element.
然后由得到的平衡方程、热传导方程和本构方程建立了两种不同本构模型的粘弹性杆热-结构耦合问题的数学模型。
Then we can get the math model of the two kind of constitutive models' heat-mechanics coupling problem by using the balance equation, the heat exchange equation and the constitutive equation.
利用哈密尔顿原理在积分型本构模型描述基础上建立粘弹性移动梁的控制方程。
The equations of motion governing the quasi_static and dynamical behavior of a viscoelastic Timoshenko beam are derived.
基于动力学方程、本构关系和应变-位移关系建立了小变形粘弹性梁的振动方程。
Based on the dynamical equation, the constitutive relation and the strain-displacement relation, the vibration equation of small deflection beams was derived.
从两个平行轴粘弹性圆柱体的接触问题出发，可以得到一个法向接触和切向接触耦合的积分方程组。
From the rolling contact problem of two viscoelastic cylinders with parallel axis, a series of normal-tangent contact coupled integration equation is obtained.
在对粘弹性流体进行分析时，用到了微分型的和积分型的本构方程。
Differential and integral constitutive equations were used to analyse viscoelastic fluid.
抛物型积分微分方程多出现在记忆材料的热传导、多孔粘弹性介质的压缩、原子反应、动力学等问题中。
The integro-differential equation of parabolic type often occurs in applications such as heat conduction in materials with memory, compression of viscoelastic media, nuclear reactor, dynamics, etc.
本文从非线性粘弹性物质的多重积分型本构方程出发，引入塑性应变，推导了粘弹塑性物质的微分型本构方程。
Introducing the plastic strain the differential constitutive equation for viscoelastic and plastic materials is deduced from multi-integral constitutive equation for nonlinear viscoelastic materials.
作为一个特殊情况，还给出了无穷小热粘弹性断裂力学的基本方程组。
Asa special case, the governing equations for infinitesimal thermoviscoelastic fracture mechanics are given.
并依据此方程求得了一个时变力学问题——自重作用下矩形平面向上增长粘弹性时变力学解。
By using the equations, a time-varying problem of up-growing rectangular plane considering the gravity is solved. Moreover the elastic and viscoelastic analytical results are obtained.
导出了粘贴压电材料和粘弹性材料构件的有限元方程；
The FEM equation of flexible mechanisms with boned piezoelectric material and viscoelastic material is derived.
设粘弹性板的轴向运动速度为常平均速度与简谐涨落的叠加，建立轴向加速运动粘弹性矩形薄板的运动微分方程。
The axially moving speed is a simple harmonic fluctuation about a constant mean speed, the differential equation of motion of axially accelerating viscoelastic plate is established.
研究了新型5参数时变性本构方程表征血液粘弹性和触变性的适应性；分别探讨了各模型参数对表征血液粘弹性和触变性的影响；
The suitability of the novel 5parameter timedependent constitutive equation to the characterization of blood viscoelasticity and thixotropy has been studied in detail.
本文指出了弱粘弹性材料结构的特征值是一组有理分式多项式方程的根，并给出了关于这些有理分式多项式方程根的一个定理。
It is pointed out that the eigenvalues of these structures are the roots of a series of rational fraction polynomial equations. A theorem about the roots of these equations is proved in the paper.
结果根据线性粘弹性理论拟合了试验曲线，得出了蠕变方程。
Results By viscoelastic properties theory regressed the experimental curve and obtained the creep function of C3 segment.
考虑具有介质阻尼及非线性粘弹性本构关系的梁方程，证明了它的有界吸收集和有限维惯性流形的存在性，并由此得到在一定的条件下所给偏微分方程等价于一常微分方程组的初值问题。
The equations of nonlinear viscouselastic beam are considered, The existence of absorbing set and inertial manifolds for the system are obtained, and from which we get that the P D E.
考虑具有介质阻尼及非线性粘弹性本构关系的梁方程，证明了它的有界吸收集和有限维惯性流形的存在性，并由此得到在一定的条件下所给偏微分方程等价于一常微分方程组的初值问题。
The equations of nonlinear viscouselastic beam are considered, The existence of absorbing set and inertial manifolds for the system are obtained, and from which we get that the P D E.
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