对于具有复杂边界条件的矩形外伸板，在弹性薄板理论中是一个较难解决的问题。
In the theory of elastic thin plates, to solve the problem of rectangular overhanging plates with complicated boundary conditions is very hard for long.
并由此建立了一个在板的每边能满足三个边界条件的弹性改进理论和一种新的厚板理论。
Based on this theory, a refined theory of plates which can satisfy three boundary conditions along each edge of the plates and a new theory of thick plates are established.
基于液晶弹性理论研究了这一效应，通过变分理论得到了液晶指向矢满足的微分方程及边界条件。
Based on the elastic theory of liquid crystal and variation theory, the effect was studied, and the differential equation and boundary condition about the director of liquid crystal were obtained.
通过考虑单元间的边界条件可以得到姿态动力学的解析模型，并由此可以获得外扰动和姿态角到附件弹性位移之间的传递特性。
Boundary conditions are used to assemble the global system model, and transfer properties from external disturbance or attitude to elastic deflection of appendages are obtained.
本文介绍动刚度法在多盘转子系统中的应用，导出了有弹性支承边界条件的动刚度公式。
The dynamic rigidity method applied to the multi-disk rotating systems is presented in this paper. The formula of dynamic rigidity to the boundary conditions with flexible support is derived.
应力边界条件的提法是线性非局部弹性理论尚未解决的一个理论问题。
Stress boundary condition in the nonlocal linear elasticity theories is an unsolved problem.
由动力学的一般解，导出了扇形板和扇形环板在广义弹性简支和广义刚性滑动边界条件下自由振动的频率方程和振型；
From these dynamic solutions, frequency and mode shapes of sectorial plate and sectorial annular plate under boundary conditions of GSS and GRS are derived.
运用弹性薄板理论，计算出不同约束边界条件下薄板内部的应力分布，论证了工作面中部来压强度大于头、尾部。
With the elastic plate theory, the stress distributions of plate in the various control boundaries are calculated and it is found that intensity of wei.
应力边界条件的提法是线性非局部弹性理论尚未解决的一个理论问题。
Stress boundary condition in the nonlocal linear elasticity theories is an unsolved problem. In this paper, this problem is studied.
研究了在弹性支撑和弹性嵌固边界条件下，弹性矩形薄板固有振动特性的变化规律。
The changing pattern of the natural vibration characteristics of thin rectangular elastic plate is studied under the boundary conditions of elastic support and elastic embedding.
研究了具阻尼及动态边界条件的弹性板的指数可稳定性。
The elastic plate with damping and dynamical boundary feedback controls was studied.
结果表明，对于黏弹性饱和土体中的球壳在不同的边界条件和响应模式下动力响应差别很大。
Results showed that dynamical responses of spherical shell in viscoelastic saturated soil vary dramatically in different boundary conditions and response modes.
基于三维弹性理论，导出了带有压电层的圆柱形梯度壳的动力学方程以及相应的边界条件。
Based on 3d elastic theory, the dynamic equations and corresponding boundary conditions about the cylindrical functionally graded shell bonded piezoelectric layers were presented.
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.
最后，对可极化和可磁化的热弹性体，得到了满足客观性原理的本构方程及相应的边界条件。
Finally, boundary conditions and constitutive equations which satisfy the principle of objectivity are obtained for polarizable and magnetizable thermo-elastic solids.
通过建立沥青混合料的三维随机格形模型，加载适当载荷和边界条件求解后，采用体积平均法得出混合料等效弹性性质。
Equivalent elastic properties of asphalt mixture were obtained by the method of average volume after establishing the 3d random lattice model with appropriate load and boundary conditions.
对周边为弹性支承边界条件下的功能梯度材料圆板轴对称弯曲问题进行了分析。
The paper presents an analysis of the axisymmetric bending of a functionally graded circular plate under elastically supported boundary condition.
弹性弯曲薄板在各种边界条件下，用最小二乘法极值原理可以解算待定常数。
As to elastic flexual plates under various boundary conditions, the undetermined parameters can be solved by the theory of minimization of least square method.
选择不同的弹性转动系数，可以得到介于简支到固支之间的不同边界条件。
Specification between simply supported and clamped boundary conditions can be acquired using different elastic coefficients.
用推广功的互等定理法，给出了求解复杂边界条件矩形板的弹性力学平面问题的一般近似解，并给出了计算实。
The method of reciprocal theorem is extended to find common probable solutions of plane problems of elasticity of the rectangular plate with various edge conditions.
将平面连续弹性体的几何边界形状考虑为随机量，建立了描述这种连续体特征值问题的随机微分方程和边界条件。
Regarding the boundary shape of elastic structures as random variables, stochastic equations and boundary conditions that govern eigenvalue problems are set up.
首先根据转子系统的连接方式确定了涡轮盘应力计算边界条件，然后对该涡轮盘进行了热弹性、弹性应力和热应力分析。
First, the calculation boundary was determined according to the linkage mode of the rotor, then its elastic, thermoelastic and thermal stress analyses were made.
无网格法采用移动最小二乘法构造位移函数，采用罚方法满足本征边界条件，对弹性体的振动问题进行了分析。
Based on the moving least squares method, an effective meshless method is developed for the vibration analysis of elastic bodies.
研究了粘弹性人工边界上的波动输入方法，给出了粘弹性静-动力统一人工边界上静力边界条件的确定方法；
The wave input method for viscous-spring artificial boundary, calculating method of static boundary conditions on the proposed unifiedboundary and their numerical simulation techniques are studied.
它严格满足双参数弹性地基上板的控制微分方程和自由边的边界条件和角点条件。
The solution strictly satisfies the differential equation of a plate on the two-parameter elastic model foundation, the boundary conditions of the free edges and the free corner conditions.
采用粘-弹性人工边界条件应用于重力坝的动力响应分析中，解决了波在边界上的反射问题。
Under the viscous-spring artificial boundary condition, the input method of seismis wave from the artificial boundary is compared with that from the surface of the dam foundation, and ther.
利用能量泛函变分的方法导出了发生弹性失稳的非经典边界条件，得到了失稳的判据方程。
The non-classic boundary condition of the elastic instability has been educed by the energy functional variation analysis. So a criterion equation of the elastic instability can be got.
利用能量泛函变分的方法导出了发生弹性失稳的非经典边界条件，得到了失稳的判据方程。
The non-classic boundary condition of the elastic instability has been educed by the energy functional variation analysis. So a criterion equation of the elastic instability can be got.
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