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1)  potential energy principle
势能原理
1.
To improve the traditional finite element method based on potential energy principle,a finite element method based on the base forces is proposed by using explicit expression of stiffness matrices by Gao,Y.
为了改进传统的势能原理有限元方法,利用高玉臣(2003)的单元刚度矩阵精确表达式,给出了一种基于基面力概念的势能原理有限元计算方法和相应的积分显示有限元列式,利用MAT-LAB计算机语言编制出基面力有限元计算程序,针对几个典型的平面弹性理论问题进行数值研究。
2.
In this paper,we exemplify some applications of energy principles,compare the potential energy principle and complementary energy principle and clarify th.
线弹性体中的势能原理和余能原理,只适用于物体或结构在给定约束条件下处于稳定平衡状态情况,而在一般情况下动力学问题不可能存在稳定平衡状态。
3.
From that,the paper indicates that how much the axial bearing is improved in the concrete-filled double skin steel tubular columns with circular section can be calculated by modifying the elastic modulus,and the modified elastic modulus can be deduce by using minimum potential energy principle.
根据经过前人通过大量实验验证过的结论,提出一些合理的假设,在此基础之上,利用修正弹性模量的方法来计入圆中空夹层钢管混凝土轴压构件承载力的提高,并用能量法和最小势能原理从中导出在轴向压力作用下的圆中空夹层钢管混凝土中核心混凝土的修正弹性模量。
2)  principle of potential energy
势能原理
1.
In this paper, based on the principle of potential energy the shear lag phenomena of thin-walled members is discussed.
本文应用势能原理,讨论薄壁杆件的剪力滞后现象。
3)  study on the energy-saving principle
势能节能原理
4)  minimal potential energy principle
最小势能原理
1.
Since,the total potential energy of woven fabrics,is in spline function with the yarn shape curve,the minimal potential energy principle is satisfied when the system is stable.
首先对被施加外部荷载的织物建立数学模型,由于相应的机织织物结构的总势能U是关于纱线形状曲线的泛函,当系统稳定时满足最小势能原理,通过求泛函极值,获得机织织物结构中纱线路径的较为真实的形状曲线,从而为描述机织织物结构几何模型和力学模型提供了相应的理论途径。
5)  springback potential energy principle
回弹势能原理
1.
By the use of weight-residual method on the springback anti-coupled equations, the springback potential energy principle and springback complementary energy principle of the structures of bar systems are established.
应用加权余量法于回弹反耦联方程, 建立了杆系结构的回弹势能原理和回弹余能原理。
2.
The method of springback finite-element for large deflection of plate shaping is established on springback potential energy principle that is already concluded.
通过引入有限变形回弹反耦联系统和反耦联方程的概念,由回弹势能原理建立了板成形的大挠度回弹有限元法。
6)  principle of minimum potential energy
最小势能原理
1.
Application of principle of minimum potential energy to spatial deformation analysis for deep foundation pit with anchored pile supporting;
基于最小势能原理的桩锚支护结构空间变形分析
2.
Research on bending of the cantilever based on the principle of minimum potential energy
基于最小势能原理的悬臂梁弯曲研究
3.
Based on the differential equation for curvature of beams,the theory of finite element and the principle of minimum potential energy,a method for beams on Winkler foundation under complex conditions was deduced with compatibility conditions of displacement,angular rotation,moment and shear of adjacent beam elements.
基于梁的弯曲微分方程、有限元理论和最小势能原理(虚功原理),利用梁单元间的位移、转角、弯矩和剪力协调条件,地基梁的整体平衡条件,给出了复杂条件下Winkler地基梁的一种计算方法。
补充资料:弹性力学最小势能原理
      弹性力学的能量原理之一,它可表述为:整个弹性系统在平衡状态下所具有的势能,恒小于其他可能位移状态下的势能。其中可能位移是指满足变形连续条件和位移边界条件的位移,用来表示。整个弹性系统的势能∏的表示式为:
  
   式中左侧为真实位移ui对应的势能;右侧第一项为弹性体中的应变能,u(εij)为应变能密度,εij为应变分量,Ω为物体所占空间;第二项为体积力构成的势能,fi为体积力分量;第三项为边界外力构成的势能,圴i为给定的面力分量,B2为给定外力的边界面,dB是B2上的面积微元;式中重复下标表示约定求和。
  
  最?∈颇茉砜尚次?
  
  
  
  
    ∏(ui)≤∏(),式中的等号只有在可能位移就是真实位移的情况下才成立。最小势能原理实质上等价于弹性体的平衡条件。它可作为弹性力学直接解法和有限元计算(见有限元法)的重要基础。
  

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