弹性方程的边值问题，无论是在理论上，还是在工程技术上都是很重要的问题。
The boundary value problem of elasticity equation is very important in both theoretical field and engineering techniques.
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.
详细讨论、分析了涉及灾害性天气预报的理论模式的稳定性，这些模式包括：非静力完全弹性方程组、滞弹性方程组。
Stability related to theoretical model for catastrophic weather prediction that includes non-hydrostatic perfect elastic model, anelastic model was discussed and analyzed in detail.
有幸的是，在赫兹接触力学的提示下，本课题组找到了一个合适的弹性能表达式，并建立了一组关于颗粒物质的非线性弹性方程。
Fortunately, our team has obtained an elastic energy expression and established a set of nonlinear elastic equations on granular matter based on indications of Hertz contact mechanics.
本文应用可积的一类线性微分方程求出了非均质变截面弹性直杆振动问题的一个精确解，我们应用这一精确解验证了渐近解的精确度。
This paper gives an exact solution for free vibration of a physically nonuniform straight bar with varying section by the use of a class of integrable linear ordinary differential equation.
应用基于状态空间法的闭式算法对机构弹性动力学微分方程进行求解。
The State-Space method is applied to compute the differential equation of the elastodynamics of mechanism.
弹性力学基本方程正确的弱形式将是有限元分析的基础。
The correct weak form of basic equations in elasticity is the foundation of finite element analysis.
首次推导出具有弹性元件的弹性连杆机构动力学方程，从理论上阐述了此平衡方法的有效性。
The dynamic equation of elastic linkage with compliance elements is derived for the first time and the validity of new balancing method is discussed.
本文用线载荷积分方程法(LLIEM)研究嵌在弹性半空间的弹性回转轴的扭转问题。
The problem of torsion of elastic shaft of revolution embedded in an elastic half space is studied by the Line-Loaded Integral Equation Method (LLIEM).
基于声波或弹性波方程的有限差分方法是数值模拟地震波场或合成VSP地震记录的有力工具。
The finite difference methods based on acoustic or elastic wave equation are very useful tools for wave-field numerical modeling or VSP data synthesizing.
利用磁畴理论和磁弹耦合理论，得出了地学尺度下包含磁致伸缩效应的弹性平衡方程。
Using the theories of magnetic domain and magneto-elastic coupling, obtains the elastic equilibrium equation containing magnetostrictive effect in the dimension of the earth science.
研究提出了弹性波方程交错网格任意偶数阶精度差分解法及倾斜界面地表折射盲区计算公式。
The study puts forward the precision difference solution to elastic wave equation, using staggered mesh random even rank, and formula for tilted contact surface's refraction blind zones.
根据三维弹性平衡方程和层间剪切滑移条件，导出了一个复合材料层板层间剪切滑移模型。
According to the three dimensional elastic equilibrium equations and the conditions of interfacial shear slip, a model of interfacial shear slip of laminated composite plates is developed.
运用水弹性力学理论论述了液体晃荡与弹性液舱耦合作用的分析方法，建立了相应的水弹性力学方程。
The coupling action between sloshing liquid and flexible structure is also analyzed associated with the hydroelasticity theory and corresponding hydroelastic equations are established.
本文对弹性波动方程的解进行了探讨，给出了初边值内题解的解析表达式。
A solution of elastic wave equation: is studied in this paper. An analytic expression of solutions of the initial boundary value-problems is given.
当结构局部非线性而其它大部分为弹性时，方程可以采用“快速非线性分析”（FNA）方法求解。
When the structure keeps elastic except for the local nonlinearities, the fast nonlinear analysis (FNA) method is desirable for an elastic response history analysis.
当结构局部非线性而其它大部分为弹性时，方程可以采用所谓“快速非线性分析”（FNA）方法求解。
When the structure keeps elastic except for the local nonlinearities, the so-called fast nonlinear analysis (FNA) method is desirable for an elastic response history analysis.
在分数阶微积分的理论框架下，将分形动力学的机制引入到生物黏弹性本构方程的研究中。
Within the framework of the fractional calculus theory, the mechanism of fractal dynamics is introduced to the constitutive equation research of viscoelastic materials.
利用锥上的混合单调算子不动点定理，本文研究了一类四阶奇异非线性微分方程的边值问题，即一类弹性梁方程问题。
By using a fixed point theorem of mixed monotone operators in cone, this paper studied a fourth-order nonlinear singular boundary value problem, namely a class of elastic beam equation.
针对一种复杂的应变能密度函数形式，在平面位移情况下，对定义在初始构形上的超弹性基本方程进行了直接的解析求解。
The plane displacement of hyperelasticity was discussed. Aimed at a complex strain energy density function, a group of hyperelasticity governing equations defined on initial configuration were solved.
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.
作为哈密顿力学逆问题，从弹性力学基本方程推导出弹性力学中一个新的哈密顿系统及其变分原理。
As an inverse problem of Hamiltonian mechanics, a new Hamiltonian system in elasticity and its variational principle are derived from the basic equations of elasticity.
在弹性梁方程满足渐近非一致非共振条件时，讨论了方程解的存在性。
This paper discusses the solvability of an elastic beam equation under asymptotic nonuniform nonresonance condition.
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.
提出了大行程柔性铰链基于刚度方程的弹性模型，采用刚度组集的方法并通过建立协调方程，构建得到整体系统的刚度模型。
The elastic model based on the stiffness equation is presented, and the stiffness model of the whole structure is constructed via the stiffness assembly and coordination equation.
根据板的大挠度理论，考虑板内的薄膜力，建立了波浪中运动平板的水弹性运动方程。
According to the theory of a plate with large deflections, the motion responses equations of a floating plate are established considering the influence of the membrane forces.
根据圆柱形坐标系的三维弹性力学控制方程，导出其状态方程。
Based on control equation of three dimensional elasticity in cylindrical coordinate system, the state equation is derived.
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.
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.
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.
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