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1)  initial-time geometry
初始时刻几何
1.
We study the continuous dependence on the initial-time geometry for the improperly posed problem of backward heat equation with different initial data.
研究了具有不同初值的倒向热方程的不适定性问题的解对初始时刻几何的连续依赖性,用一个改进的方法分别导出了仅依赖初始数据的显式的连续依赖性的不等式。
2.
By using the technique of Payne and Staughan in the studying of the continuous dependence on the initial-time geometry for the backward heat equation with given initial data,we studied the continuous dependence on the initial-time geometry in improperly posed problem for backward heat equation with different prescribed data.
基于Payne和Straughan关于具有相同初值的倒向热方程在外区域上的初值时刻几何的连续性研究技巧,研究了具有不同初始数据的倒向热方程在外区域上的不适定问题的解对初始时刻几何的连续依赖性。
3.
In this paper we study the continuous dependence on the initial-time geometry in improperly posed problem for forward heat equation with different prescribed data.
研究了具有不同初始数据的前向热方程不适定问题的解对初始时刻几何的连续依赖性。
2)  initial geometric imperfection
初始几何缺陷
1.
Measurement results showed that there was obvious cross section distortion in the cut stub columns after cutting, resulting in the large additional initial geometric imperfections along the length, which would affect the axial compressive ultimate strength and the fa.
以2个辊轧成型的C形冷弯薄壁型钢截面为研究对象,在长构件中切割短柱,测试了切割后短柱的歪曲变形和切割前后短柱沿长度方向的初始几何缺陷。
2.
Stability of a spherical dome with initial geometric imperfections is analyzed based on the nonlinear finite element method.
该文采用非线性有限元理论,对球形圆顶屋盖考虑初始几何缺陷的结构进行了稳定分析,着重从集中荷载、全跨均布荷载、半跨均布荷载3种工况进行特征值屈曲分析,预测结构的理论屈曲强度,再以弧长法对结构变形进行全过程跟踪,求得极限临界荷载。
3.
These parameters are initial geometric imperfection, residual stresses, width to thickness ratio and aspect ratio of the panels.
重点研究了板的初始几何缺陷、残余应力、高厚比及边长比等影响因素与抗剪极限承载力的关系,推导出铰接刚性边界焊接板抗剪承载力计算公式。
3)  initial geometrical imperfections
初始几何缺陷
1.
A simplified mechanical model of ultrahigh pillar with initial geometrical imperfections was established and the stability of the system was discussed by means of initial deflection function,the stress-strain relation of rock,the strain-curvature relation,static balance at elastic stage and at elastoplastic stage.
针对具有初始几何缺陷的超高矿柱稳定性问题建立了一个简化的力学模型,基于初始挠度的形状、岩石的应力–应变关系、应变–曲率关系及静力平衡关系对具有初始挠度的矿柱的弹性及弹塑性稳定性进行了探讨,确立了超高矿柱稳定性对初始几何缺陷的依从关系,确定了具有初始几何缺陷的超高矿柱的弹塑性失稳的极限载荷。
2.
The initial deviations of the joint positions are the main initial geometrical imperfections that affect the stability behaviors of the long-span spatial structures.
节点位置偏差是影响大跨度空间结构整体稳定性的一个主要初始几何缺陷,但目前关于实际结构中节点位置缺陷的资料还很少。
3.
Considering geometrical and material dual nonlinear nature, the ultimate bearing capacity of open stiffened plates with initial geometrical imperfections and residual stress is analyzed.
以开口加劲板为研究对象,计入几何和材料双重非线性的影响,分析了具有初始几何缺陷和残余应力的开口加劲板的稳定极限承载力。
4)  Initial Geometric Imperfections
初始几何缺陷
1.
In second-order elastic analysis of the partially-braced steel frames, the initial geometric imperfections of overall frame as well as its individual member should not be neglected.
在钢框架二阶弹性分析中,结构整体初始几何缺陷和构件的初始几何缺陷是实际存在的,其影响不应忽略。
2.
Details of the model including element type,mesh discretization,material model,boundary conditions,solution method,residual stresses and initial geometric imperfections are presented.
提出了一种基于有限元的考虑初始缺陷的塑性区模型,详细介绍了这种模型的单元类型、网格密度、材料属性、边界条件、求解方法以及残余应力和初始几何缺陷的施加,并通过和经典的Vogel框架计算结果的对比,验证了模型的可靠性。
5)  initial geometric deflection
初始几何位移
1.
The pin-connected(bolt-connected) steel structure,due to the interstice between pin(bolt) and pinhole(keyhole) in the node point,has an initial geometric deflection,which exerts a great influence on the rigidity,strength and stability of the structure.
销(栓)接钢结构由于结点连接处的销(栓)与孔存在间隙,使结构体系产生初始几何位移,对结构的刚度、强度和稳定产生不可忽略的影响。
6)  initial geometric stiffness
初始几何刚度
1.
Then based on linearity and nonlinearity theory, the live load influence is analyzed for a bridge, which includes the comparison of the influence between initial geometric stiffness, cable sag and large displacement.
介绍了斜拉桥的活载几何非线性原理及方法,并对某座斜拉桥进行活载线性和几何非线性计算,分析初始几何刚度、拉索垂度效应以及大位移效应对几何非线性的影响,分析了构件刚度及边界约束条件对斜拉桥非线性的影响。
补充资料:原始几何陶与几何陶文化
      希腊的早期铁器时代文化。因陶器多饰几何形图案而得名。年代约在公元前第2千年末至前第1千年初。此时以多里安人为主的移民消灭了迈锡尼国家(见迈锡尼文明),但未继起建国,氏族部落制度重新占据统治地位。记载这一时期历史的主要文献是荷马史诗,故亦称此时期为荷马时代。几何形陶器自19世纪末即有发现,但作为考古学文化而定名则是在20世纪初。
  
  原始几何陶的特征是喜用多管笔在器物上绘平行线纹、波浪纹和同心圆圈图案,条理分明,简略得当。器形多为双耳水罐。几何陶由原始几何陶发展而来,其特征是图案装饰横带遍布器表,不象原始几何陶在器腹中部和底部留有空白,并开始在几何纹中杂以鸟、马等动物图像。此时制陶技术续有提高,在土质、火候、釉色等方面都可居古代制陶工艺的上乘。几何陶文化后期最有代表性的是"狄甫隆陶瓶",它得名于雅典古城遗址的狄甫隆门。这类巨型陶器往往高与人齐,在腹部最宽的横带上绘人物、车马,以表现送葬行列、战斗场面等为主。该文化铁器已很完善,有斧、钻、锯、锄等工具和刀、剑、矛等武器。青铜器主要有用于装饰的别针。商业已较发达。该文化中心之一的雅典,受移民破坏最轻,又较早恢复了海外联系,与小亚细亚、塞浦路斯和爱琴海各岛接触频繁,铁器生产和快轮制陶技术都达到较高水平。
  
  该文化的遗迹主要是墓葬,流行火葬,但土葬仍未绝迹,一般是单人墓穴。在原始几何陶时期,陪葬品只有陶器和少量铁制用具、饰物;到了几何陶时期,始有金、银工艺品。贵族墓葬日渐豪华,在雅典古市场遗址发现的1座贵族妇女火葬墓,随葬珍贵饰物和陶器达80件以上,并有一谷仓模型。到几何陶文化后期,阶级分化日益加剧,进入奴隶制城邦的形成时期。
  

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