针对横观各向同性弹性柱体问题构造了对偶体系。
The duality system is introduced for the problem of elastic cylinders with transverse isotropy.
分析了无限横观各向同性弹性圆柱中，刚性圆盘的扭转振动问题。
In the present analysis torsional oscillation of a rigid disk in an infinite transversely isotropic elastic cylinder has been considered.
对各向同性弹性薄圆环的径向振动进行了研究，得出了其等效电路。
The radial vibration of isotropic thin elastic circular rings is studied and the equivalent circuit is obtained.
对各向同性弹性薄圆盘的径向振动进行了研究，得出了其等效电路。
The radial vibration of isotropic thin elastic circular plates is studied and the equivalent circuit is obtained.
从理论上分析了各向同性弹性介质中有限长充液圆柱壳的自由振动特性。
The axisymmetric vibration characteristics of finite length fluid-filled cylindrical shells in elastic medium are analyzed systematically in theory.
第二章研究了具任意形状裂纹的各向同性弹性半平面在周期压头作用下的接触问题。
In the second chapter contact problem of a half-plane with periodic cracks under periodic rigid punch action is studied.
作者运用了等价空间和各向同性弹性板的一些结果，简明地解决了各向异性板的问题。
By utilizing the equivalent Spaces and some results from isotropic elastic plates, the author has solved the problem concisely.
然后再利用传递矩阵技术，给出了任意荷载作用下的层状横观各向同性弹性地基的解析解。
Then the analytical solution is obtained for transversely isotropic multi-layered elastic subgrade under arbitrary loadings by means of transferring matrix method.
这样，对应每一个横各向同性弹性随机介质模型，均可计算得到15个不同的波场特征量。
In this way, corresponding to every single transversely isotropic elastic random medium model, we can calculate and gained 15 different wave field characteristic quantities.
根据双标量各向同性弹性损伤理论，提出了一个土体损伤模型，给出了相应的损伤演化方程。
Based on double scalar isotropic damage theory, a new soil damage model and damage evolution equations were presented.
主要的研究成果如下：在极坐标辛对偶体系下重新求解了各向同性弹性楔体所有佯谬问题的解析解。
Major contributions are as follows: All paradox problems in the isotropic elastic wedge are re-solved in analytical forms under a symplectic dual polar coordinate system.
引入横观各向同性弹性本构关系模型作为正交各向异性接触模型，实现路面结构层间接触状态的数值模拟。
Horizontal isotropic elasticity constitutive relation model is taken as orthotropic interface model and used to simulate the interface between horizons of pavement.
忽略各向异性影响的各向同性弹性阻抗公式不能正确地描述各向异性介质中弹性阻抗随入射角和方位角的变化。
The formulae for isotropic elastic impedance neglecting the effects of seismic anisotropy can't describe accurately the variation of elastic impedance with incident Angle and azimuth.
应用作者提出的二阶势理论，本文研究了各向同性弹性介质中P波与SV波的非线性相互作用，得到了相互作用波的表达式。
Using the second-order potential theory proposed by the author, this paper gives an investigation to the nonlinear interaction of P and SV waves in isotropic elastic media.
文中建立了一套模拟算法，研究了各向异性与各向同性介质中弹性波场的特征。
We offer the simulation algorithm, and analyse the characters of elastic wave fields in anisotropic medium and isotropic medium respectively.
对在一个各向同性、均匀的弹性球的具有恒定的热传导系数的球面上进行加热这一理想情况下，计算了陨星由于空气动力学加热而产生的热应力。
Thermal stress in meteoroids by aerodynamic heating is calculated for the ideal case of an isotropic, homogeneous, elastic sphere being heated at the surface with a constant heat transfer coefficient.
把葡萄简化成球形的、均匀的、各向同性的和内部充满不可压缩液体的弹性膜。
The grape was assumed as a spherical homogeneous, isotropic elastic membrane, which was fully-filled with incompressible, high viscous liquid.
亦适用于求解单参数弹性地基和各向同性板情形。
The method can also be suitable for single parametric elastic foundation and isotropic plates.
本文主要是通过波场数值正演模拟技术来研究粘弹性各向同性介质中地震波的传播问题。
In this paper, seismic wave propagation in viscoelastic isotropic media is mainly addressed by the technology of wave field numerical simulation.
论证了它们实质上是各向同性、不可压缩、幂率型、非线性弹性裂纹尖端场。
It is illustrated that they are essentially the isotropic, incompressible, power law type nonlinear elastic crack-tip fields, illustrated.
针对上覆弹性土层横观各向同性饱和地基，采用半解析半数值的方法研究了其竖向振动问题。
Vertical vibrations on transversely isotropic saturated soils with an elastic superstratum were studied by semi-analytical and semi-numerical method.
该解退化到各向同性均匀弹性情况时与已有的理论解相一致。
Degenerate results for the special case of an isotropic homogeneous elastic beam are coincided well with the existing analytical solutions.
通过对不同介质中的弹性波方程和表面弹性波边界条件的研究，对各向同性、各向异性以及压电介质中的表面弹性波行为进行了详细的讨论。
The elastic wave equations and the boundary conditions of SAW in different media are studied, and the behaviors of SAW in the isotropic, anisotropic and piezoelectric media are fully discussed.
探讨各向同性功能梯度材料裂纹板热弹性断裂问题的数学模型。
The mathematical models of thermal elasticity fracture problem of cracked plate for isotropic functionally graded materials are researched.
点力源在均匀横向各向同性介质中激发的弹性波可以用透射-反射矩阵法进行求解。
Elastic waves from a point force in transversely isotropic, homogeneous media can be solved through the reflectivity-transmittivity matrix approach.
本文应用交错网格高阶有限差分方法模拟弹性波在三维各向同性介质中的传播。
This article provides the application of the high-order, staggered-grid, finite-difference scheme to model elastic wave propagation in 3-d isotropic media.
在广义标准材料理论框架下，利用本构泛函展开法，推导出弹性各向同性损伤演化方程的一般形式。
Thus, in the framework of generalized standard materials, the damage evolution equation for isotropic elastic damaged materials has been derived.
在弹性、横观各向同性条件下，计算得出了表征土壤-根系复合体应力-应变关系的本构方程。
The constitutive equations of the soil-root composite, which express the stress-strain relationship, were derived under the hypothesis of isotropy.
在弹性、横观各向同性条件下，计算得出了表征土壤-根系复合体应力-应变关系的本构方程。
The constitutive equations of the soil-root composite, which express the stress-strain relationship, were derived under the hypothesis of isotropy.
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