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      equilibrium equations
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  平衡方程
    The Revision of Equilibrium Equations in Stress Analysis for Axisymmetric Forming Processes of Sheet Metal
    板料轴对称成形应力分析中平衡方程的修正
短句来源
    The shortages of equilibrium equations in authoritative books on plastic forming theory of metal are indicated, and revised equations are deduced, which provide theoretical basis for accurate stress-strain analysis of axisymmetric forming processes of sheet metal.
    指出了权威金属塑性成形理论专著中给出的板料轴对称冲压成形过程应力分析之平衡方程的不足 ,并导出了这些方程的修正式 ,为精确分析金属板料轴对称冲压成形工序的应力应变提供了理论依据 .
短句来源
    But if the surface layer is considered,the traditional finite element methods can not be used,since the ill-condition of structural equilibrium equations produce numerical difficulties.
    但是,如果考虑表面层,常规有限元法由于结构平衡方程病态而导致数值上的困难。
短句来源
    For the numerical aspects,an implicit integration scheme is used for local time integration of the constitutive equations and a dynamic explicit scheme is used to solve global equilibrium equations.
    在数值技术方面 ,隐式积分方法被用来对本构方程的局部时间积分 ,动力显式技术用于求解总体平衡方程
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  equilibrium equations
This method uses the free torsional theory and the principle of virtual work to build governing equilibrium equations involving unknown shear flows and twisting rate.
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There have been obtained system of equilibrium equations and recurrence relations for its coefficients which enable us to formulate the algorithm to build the system.
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The level populations were determined by numerically solving the equation of recombination kinetics together with the statistical equilibrium equations for a 60-level model hydrogen atom.
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A set of phase-equilibrium equations in covariant form and its use for developing a general method of calculation of two-phase c
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The equilibrium equations for dislocations are solved numerically.
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         The zone method,proposed first by H.C.Hottel and E.S.Cohen,has been increasingly used nowadays in thermal process analysis and furnace design.A major problem with respect to the various existing zone methods is that the thermal radiation calculation of heat exchange between two subzones is too complicated and that the nonlinear equations are difficult to solve.The local dichotomy technique,through which the induced equations for calculating the direct exchange areas may be obtained,proposed by t...
            用段法(亦称区域法)对火焰炉内的温度和热流分布进行了颓示计算。在预示计算的过程中,用文献[8]所提的局部再分法计算直接交换面积。经在东北工学院冶金炉教研室实验炉的验证表明,文献[8]给出的计算直接交换面积的诱导公式及其电算程序是可靠的,本文提出的火焰炉段法预示计算数学模型是合理的。
文摘来源
         In this paper. the moment equilibrium equations are formulated from energy equilibrium. Besides quantitative analyses of ah related moments, all the models for caculating the moments and the related parameters are synthesized. According to these models. a recurrence formula of tension can be obtained and tension distribution of strip in furnace can be calculated.
            本文根据能量平衡原理建立了炉辊传动系统的转矩平衡方程式,对各种转矩作了量化分析并综合了转矩和有关参数的计算模型。据此可建立张力递推公式,继而可得出炉内带钢张力分布。
文摘来源
         Surface strengthening dies occupy an important place in the forging industry.Because of the obvious difference of the mechanical properties between the surface layer and its base,the strength analysis with neglecting surface layer will result in error not to be ignored.But if the surface layer is considered,the traditional finite element methods can not be used,since the ill-condition of structural equilibrium equations produce numerical difficulties.The relative displacement method for surface ...
            表面强化模具在锻压行业中占有重要地位。由于模具表面层与基体材料的机械性能有明显的差异,忽略表面层进行的模具强度分析将产生不可忽视的误差。但是,如果考虑表面层,常规有限元法由于结构平衡方程病态而导致数值上的困难。本文提出的相对位移有限元方法有效地解决了这一问题。文中对表面强化的挤压凹模进行了应力分析,三维光弹实验结果表明此方法计算精度较好。
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