查询词典 Timoshenko

Concretely, firstly with Timoshenko beams, the fundamental formulae of solutions of dynamical equations, boundary conditions and initial conditions have been transformed by Laplace transformation. Secondly, in the Laplace regions , we gain the analytical solutions of impact forces at the impact contact points, shear and maximum inverse stress of beams. Then, by using Durbin numerical inverse method, we gain the numerical solutions of Timoshenko beams under various restriction conditions. Moreover, the graphs about impact forces at the impact contact points, shear and maximum inverse stress of beams can be obtained too.

把Timoshenko梁力学模型动力学方程的基本解形式、边界条件以及初始条件进行Laplace变换，在Laplace区域得到了冲击接触处的冲击力、整个梁的最大弯曲应力和剪力的解析解，然后利用Durbin数值反演的方法得到了各种约束条件下的Timoshenko梁模型时间-空间的数值解，得到了冲击接触处的冲击力、梁各处的最大弯曲应力和剪力的曲线图。

In this paper, the modified motion equation of Timoshenko beam is first introduced, which is then compared with that of Timoshenko beam.

介绍了修正后的Timoshenko梁运动方程，并比较了修正Timoshenko梁与经典Timoshenko梁的运动方程。

This paper discussed a method of modal perturbation to analyze the characteristics of free vibration of Timoshenko cantilever beams.

本文讨论了用模态摄动法分析Timoshenko悬臂梁的自由振动特性。

The boundary feedback consol problem for a nonuniform Timoshenko beam with a load at one end was stud-ied.

冯德兴 ，阎庆旭对于一端具负载的非均质Timoshenko梁，研究了其边界反馈镇定问题。

To evlauate reliability of the calculation,the simplified defect mechanical model is also calculated by the use of Timoshenko thoery,and double exposure holographic interference experiment is made on a steel container with prefabricated defect.

为了考查其计算的可靠性，文中对所建立的缺陷力学模型按Timoshenko理论进行计算和在预制缺陷的钢容器上进行双曝光全息干涉实验。

To evlauate reliability of the calcu lation, the simplified defect mechanical model is also calculated by the use of Timoshenko thoery,and double exposure holographic interference experiment is made on a steel container with prefabricated defect.

为了考查其计算的可靠性，文中对所建立的缺陷力学模型按Timoshenko理论进行计算和在预制缺陷的钢容器上进行双曝光全息干涉实验。

Based on the Timoshenko-Mindlin hypothesis and the Hamilton Principle, a set of governing equations of motion for the laminated non-circular cylindrical thick shells were founded.Using the Galerkin procedure,the Mathieu equation only with time variable was obtained,and this equation was solved by the method of increase harmonic balance.

基于Timoshenko-Midlin假设及Hamilton变分原理，建立了层合中厚非圆柱壳的非线性运动控制方程，采用伽辽金技术，得到仅含时间参数的Mathieu型方程，然后应用增量谐波平衡法进行求解。

Accurately considering the axial extension and first order transverse shearing deformation, the geo metrically nonlinear governing equations for functionally graded Timoshenko beam subjected to mechanical as well as thermal loads were established. In the analysis it was assumed that the material properties of the beam vary continuously as a power function of the thickness.

在精确考虑轴线伸长和墓于－阶横向剪切变形理论的基础上建立了功能梯度Timoshenko梁受热－机载荷作用时的几何非线性控制方程，其中功能梯度梁的材料性质采用了沿厚度方向按照幂函数连续变化的形式。

First, the modal perturbation method based on Ritz vectors is applied to solve the dynamic characteristics of Timoshenko deep beam including the effects of shear deformation and rotational inertia.

首先建立了钢筋混凝土深梁的求解方程，然后提出了求解Timoshenko梁特征值问题的模态摄动法，最后通过算例，说明不同含钢率下钢筋混凝土深梁的自振特性的变化情况。

Finally, the free vibration analysis of the 3-D beamlike lattice girders is performed using the derived property matrices of the 3-D Timoshenko beam elements and the influence of flexural rigidity, shear deformation and rotary inertia of the constituent structural members on the free vibration characteristics of the "triangular-type" and "rectangular-type" 3-D beamlike (Vierendeel and X-braced) lattice girders is studied.

最后，本文利用上述三维Timoshenko梁元素的性质矩阵，来进行三维构架的自由振动分析，并探讨各梁元素的挠曲刚度、剪切变形与旋转惯性，对三角形及四方形的梁形格状桁，自由振动特性的影响。

Liapunov—Schmidt method is one of the most important method in the bifurcation theory.

Liapunov—Schmidt方法是分叉理论的最重要方法之一。

Be courteous -- even when people are most discourteous to you .

要有礼貌──即使当別人对你最不礼貌的时候。