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The theoretical solution of eigenfrequencies and vibration models of rectangular thin plate on foundation with completely free boundary was derived by the double finite cosine integral transform method. In the analytical process, the elastic foundation was regarded as Winkler foundation model.

将弹性地基以Winkler模型模拟,利用双重有限余弦积分变换的方法推导出了弹性地基上四边自由矩形薄板的固有频率和振型的解析解表达式。

One kind of Newton method which was suit for localized unstable problems was used in this algorithm.

求解时使用一种适合控制结构局部失稳的Newton法,并以带椭圆中心孔金属薄板的拉伸断裂为算例。

Differential Quadrature Method, one of numerical methods of solving boundary problem of differential equation is introduced in this paper. By using DQM, the dynamic stability of pipes conveying fluid and rectangular plates under the action of non-conservative force is studied. The main research work is as follows.

本文首先介绍了求解微分方程边值问题的一种数值方法—微分求积法,然后采用微分求积法分别对输流管道和非保守矩形薄板的稳定性问题进行了分析研究,具体有如下三方面的研究内容。

Reciprocal theorem for non-linear elasticity with finite displacements in rectargular cartesian coordinates is established in this paper and reciprocal theorems for bending of thin plates with large deflections are given.

建立了直角坐标系有限变形非线性弹性力学的倒易定理并给出了大挠度弯曲薄板的倒易定理。

When the Al-Mg-Zr-Sc welding wire was used as filling material, the grains of welding seam were refined obviously, and the weld joint was greatly strengthened by forming of fine equiaxial grains layer in fusion zone.

结果表明:采用两种焊丝焊接的Al-Mg-Sc合金薄板的焊接接头强度系数均大于0.9。

The idea of this method is clarified by taking a vibration problem of simply-supported thin polygonic plate.

以简支多边形薄板的振动问题为例,详细阐明了准格林函数方法的思想。

This production line is mainly used in uncoiling,leveling and shearing of sheet metal of cold rolling carbon plate,stainless plate and aluminum plats etc.

该生产线的主要用于冷轧碳钢、不锈钢板、铝板等金属薄板的开卷校平和剪切。

Based on this theory we deduce related equations of expansion force in plate and build elements of plate and magnetic field. After the analysis of magnetic field by FEM and some numerical computation we get the critical value of magnetic field when plate buckles.

在实现了用有限元对磁场进行三维分析基础之上,基于磁致应变假定,推导出相应等效载荷的计算公式,完成了恒定磁场作用下磁弹性矩形薄板的屈曲分析,求得了板屈曲时的磁场临界值。

In this paper, firstly, the theory and the discretization schemes of LBIE and the concepts of MLS and GMLS are introduced; secondly, LBIE method is applied to solve the thin plate-bending problems and four typical examples are given to demonstrate the applicability and validity of the method. The results obtained from numerical examples agree well with the exact solutions and have an excellent rate of convergence.

本文首先介绍了无网格局部边界积分方程方法的理论基础和离散步骤,以及移动最小二乘近似法和广义移动最小二乘近似法等概念;其次将该方法初步应用于计算薄板的弯曲问题,建立了完整的积分公式,求解了四个典型算例,结果同精确解非常接近,且收敛快。

Primary parametric resonance of a parametrically excited simply supported thin rectangular plate on nonlinear elastic foundation is analyzed.

分析非线性弹性地基上受参数激励小挠度矩形薄板的主参数共振问题,由冯卡门方程和伽辽金方法得到系统的非线性振动方程,它是杜分-马休型方程,应用非线性振动的多尺度法得到平均方程。

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According to the clear water experiment, aeration performance of the new equipment is good with high total oxygen transfer coefficient and oxygen utilization ratio.

曝气设备的动力效率在叶轮转速为120rpm~150rpm时取得最大值,此时氧利用率和充氧能力也具有较高值。

The environmental stability of that world - including its crushing pressures and icy darkness - means that some of its most famous inhabitants have survived for eons as evolutionary throwbacks, their bodies undergoing little change.

稳定的海底环境─包括能把人压扁的压力和冰冷的黑暗─意谓海底某些最知名的栖居生物已以演化返祖的样态活了万世,形体几无变化。

When I was in school, the rabbi explained everythingin the Bible two different ways.

当我上学的时候,老师解释《圣经》用两种不同的方法。