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The solutions of thin bending rectangular plate with one subtense edges simply supported and the other subtense edges free, large deflection under uniform pressure are obtained by the Reciprocal Theorem Method in this paper. From the results it can ha found that the method is valid in non-linear questions and develops a new access.

主要应用大挠度弯曲薄板的第二类功的互等定理,求解在均布载荷作用下一对边简支一对边自由矩形板的挠曲面方程,计算结果表明,大挠度弯曲薄板功的互等定理在解决非线性问题方面简单有效,为求解相关大挠度问题开辟了一个新的途径。

In chapter II,the preliminary knowledgefor accomplishing this research is presented,and the well-posed problem ofthe thin-plate flow of non-Newtonian viscous fluids is testified.By using themonotone operator theory and Schauder's fixed point theorem,the generalizedsolution's existence and uniqueness theorem for the thin-plate flow problem ofnon-Newtonian viscous fluids is obtained under reasonable conditions.

第二章给出了进行本项研究所需的一些预备知识,对非牛顿粘性流体薄板流问题广义解的适定性进行了研究,应用单调算子理论和不动点定理,在合理的条件下,证明了非牛顿粘性流体薄板流问题广义解的存在性,唯一性定理。

In polar coordinate, when it is the axisymmetric bend of circular sheet, differential equation of elastic curved face can be q written as: 2 2 w = D or d 2 1 d d 2 w 1 dw q 2+ 2 += dr dr r dr r dr D

如果圆形薄板所受的横向载荷是绕z 轴对称的,则该弹性薄板的位移也将是绕z 轴对称的,即是r 的函数,不随θ而变。

On the analogy between plane elasticity and plate bending theory, moment functions of plate bending in polar coordinates are introduced as original variables to establish a symplectic space in circumferential direction for the bending of annular sector plate with an appropriate definition of symplectic inner product.

根据平面弹性与薄板弯曲问题的相似性原理,极坐标系板弯曲的弯矩函数被引入作为原变量,并通过恰当的辛内积定义建立了环扇形薄板弯曲问题的一个辛几何空间。

Critical voltage for a simply supported rectangular thin plate under uniform electric field is presented by using Navier solutions.

基于经典板理论,假设材料的电弹参数为板厚方向坐标的幂函数,采用含压电耦合项的修正层合理论,推导了压电功能梯度薄板在电载荷作用下的屈曲方程,并利用Navier解,得到四边简支矩形薄板在均匀电场下的屈曲临界电压。

The element is based on the Reissner-Mindlin plate bending theory and is eccentrically stiffened with beam element.

采用非等参插值的方法避免了Mindlin板/壳单元用于分析薄板/壳结构时固有的剪切锁死问题,数值算例结果表明,该单元对与薄板和厚板均给出了精确的解。

Was investigated.The result shows that for thin plates,The strength of the plates decrease and the plasticity increase with anneal temperatare rising,while thick plates is not so sensitive to anneal temperature.The variation of heat-treatment parametar has less effect on the microstructure of TA15 plate.Thin plates have higher strength and lower plasticity longitudinally and transversally, and lower strength ...

结果表明,对于薄板而言提高退火温度材料强度降低、塑性提高,而对厚板这种现象不明显;热处理参数的变化对TA15合金板材的显微组织影响不大;薄板沿纵向和横向强度值较高,塑性值偏低,而45°方向强度值偏低,塑性较好;厚板横向强度值较纵向、45°方向的要高。

The method includes the following steps: getting specific amount of knitted or unknitted natural fiber and dipping the natural fiber in the aqueous solution of silane coupling agent for 1-100min, taking out and drying the natural fiber, thus producing natural fiber with modified surface; then pressing the polylactic acid into sheet in a plate vulcanization machine; disposing 2-10 polylactic acid sheets into a die and arranging one modified natural fiber sheet between every two polylactic acid sheets; pressing and molding the sheets; in this way totally biologically degradable polylactic acid composite material can be made.

该方法为:先取一定量的经过编织或未编织天然纤维,将其浸渍在偶联剂水溶液中1~100分钟后取出,经干燥后得到表面改性的天然纤维。然后,将聚乳酸在平板硫化机中压制成薄板;将2~10片聚乳酸薄板放在模具中,且每2片之间放置1片改性的天然纤维,然后模压成型,得到可完全生物降解聚乳酸复合材料。

A number of calculation examples, including past experiments, our experiments, thick slabs experiments, thin slab experiments, single slab experiments and doweled slabs experiments, are given. By comparing test values with calculating values, some significative conclusions are drawn. The superiority of generalized conforming element for thick-thin slab on foundation is pointed out. The average ranges of foundation parameters are given according to these experiments.

6利用有限元程序进行正分析,用遗传算法进行反分析,识别地基的基本参数,实现地基参数的原位测试;给出大量算例,包括前人的试验和本文的试验、薄板与厚板、单板与接缝板,通过计算值与实测值的比较,得出一些较有意义的结论;阐明了双参数地基上广义协调厚薄板通用元的优越性并给出了试验场地地基参数的平均取值范围。

The lamellae (10), as compared with metal lamellae, provide a greater freedom to choose their shape and are less expensive.

与金属薄板相比,该薄板(10)提供了更大的自由度来选型并且更便宜。

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