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simplified to
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  简化为
    Study results show that:the driving system could be simplified to a 1 freedom,damped,2 degree oscillating system,and its intrinsic frequency f n =84±1.3 Hz,damp ratio ξ =0.5±0.023;
    结果表明:驱动系统可以简化为一个单自由度有阻尼的二阶振动系统,其固有频率和阻尼比分别为:fn=84±1.3Hz,ξ=0.05±0.023;
短句来源
    The frame structure is simplified to a serial multi-degree-of-freedom system, which is then be used to calculate the earthquake effect ratio and horizontal earthquake load on each story according the response spectrum method.
    将框架结构简化为串联多自由度体系,按照反应谱方法算出地震影响系数和各楼层上的水平地震作用。 这些作用被作为push-over分析中的侧向荷载加到框架模型上,分级加载,进行弹塑性计算,得到地震作用下的内力分布和变形情况,为抗震设计提供依据。
短句来源
    The problem is simplified to become the solution of two linear algebraic equations of two dimensions by using the minimum potential energy principle and a simple deflection function. Fewer unknowns are involved in the method.
    利用最小势能原理和简单的挠度函数. 将该问题简化为求解两个二维线性代数方程组.
短句来源
    The problem of complicated physico-chemical and aerodynamic process is simplified to one of two-dimensional forward-facing step of quasi-steady state ablation problem of the separation region.
    本文将这一复杂的物理化学和气体动力学过程简化为二维前向台阶分离区的准定常烧蚀问题来处理。
短句来源
    The partial differential equations series of control are simplified to the superable-algebraic equations series.
    将偏微分的控制方程组简化为超越代数方程组。
短句来源
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  简化成
    In the paper, numerical model is simplified to a plane strain problem. Athree-dimensional Vickers indenter is simplified to a two-dimensional wedge indenterwith an angle 136°. It is assumed that the indenter is made of rigid material, the filmand substrate are made of isotropic elastic-perfectly plastic material, and Mises yieldcondition is obeyed.
    本文计算模型简化成了一个平面应变问题,把三维的Vickers压头简化成二维的夹角136°的楔形压头,并假设压头是刚性的,材料假设成各向同性的理想弹塑性材料,并遵循Mises屈服条件,压头与膜层的接触考虑摩擦。
短句来源
    When the wave reflection effects are small enough to be neglected, the twodimensional Boussinesq equation, which governs the evolution of the shallow water waves, may be simplified to a set of parabolic equations.
    在波的反射可以忽略时,控制水波动运的二维Boussinesq方程简化成抛物型方程.
短句来源
    By Some treatment, the plane problem about an interface crack between two bilinear hardening materials is simplified to the quasi-elastic one in the paper.
    本文通过一定的处理方法,将双线性硬化材料的平面界面裂纹问题简化成一个拟线弹性问题。
短句来源
    In the Bragg resonance limit, the solitary wave can be simplified to a soliton\|like solution which was named as “gap soliton” or “slow Bragg soliton”.
    同时也证明 ,在布拉格共振极限条件下 ,孤波解可以简化成所谓的“隙孤子”解或是“慢布拉格孤子”解
短句来源
  简化
    Study results show that:the driving system could be simplified to a 1 freedom,damped,2 degree oscillating system,and its intrinsic frequency f n =84±1.3 Hz,damp ratio ξ =0.5±0.023;
    结果表明:驱动系统可以简化为一个单自由度有阻尼的二阶振动系统,其固有频率和阻尼比分别为:fn=84±1.3Hz,ξ=0.05±0.023;
短句来源
    The frame structure is simplified to a serial multi-degree-of-freedom system, which is then be used to calculate the earthquake effect ratio and horizontal earthquake load on each story according the response spectrum method.
    将框架结构简化为串联多自由度体系,按照反应谱方法算出地震影响系数和各楼层上的水平地震作用。 这些作用被作为push-over分析中的侧向荷载加到框架模型上,分级加载,进行弹塑性计算,得到地震作用下的内力分布和变形情况,为抗震设计提供依据。
短句来源
    In the paper, numerical model is simplified to a plane strain problem. Athree-dimensional Vickers indenter is simplified to a two-dimensional wedge indenterwith an angle 136°. It is assumed that the indenter is made of rigid material, the filmand substrate are made of isotropic elastic-perfectly plastic material, and Mises yieldcondition is obeyed.
    本文计算模型简化成了一个平面应变问题,把三维的Vickers压头简化成二维的夹角136°的楔形压头,并假设压头是刚性的,材料假设成各向同性的理想弹塑性材料,并遵循Mises屈服条件,压头与膜层的接触考虑摩擦。
短句来源
    When the wave reflection effects are small enough to be neglected, the twodimensional Boussinesq equation, which governs the evolution of the shallow water waves, may be simplified to a set of parabolic equations.
    在波的反射可以忽略时,控制水波动运的二维Boussinesq方程简化成抛物型方程.
短句来源
    By Some treatment, the plane problem about an interface crack between two bilinear hardening materials is simplified to the quasi-elastic one in the paper.
    本文通过一定的处理方法,将双线性硬化材料的平面界面裂纹问题简化成一个拟线弹性问题。
短句来源
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  “simplified to”译为未确定词的双语例句
    Based on the analytical expression of the linear equivalent failure mode and principle of conditional probability, this new method is derived, by which the multinomal integration is simplified to a simple algebra calculation.
    将条件失效模式等价为线性失效模式,推导了等价线性失效模式的解析表达式,在此基础上,逐次利用条件概率的基本原理,最后将一个并联体系的失效概率变成一系列等价线性失效模式失效概率的乘积,从而使一个高维积分问题转换为一组简单的代数运算问题。
短句来源
    It is analytically demonstrated that at high particle Reynolds number the particle transient motion equation is a nonlinear integral equation with singularity, while it is simplified to the second Volterra integral equation when particle Reynolds number is smaller than unit.
    分析表明,高颗粒雷诺数下的粒子非恒定运动方程为非线性奇异积分方程,而当颗粒雷诺数小于1时,则线性化为第二类渥尔特拉(Volterra)积分方程。
短句来源
    intersection is simplified to the calculation of probability product of a group of equivalent linear failure modes. Because the serial system and the mixed system can be expressed as a linear superposition of a series of failure modes?
    由于串联体系以及串并联混合体系均可表示为一系列失效模式交集的线性组合,因此方法可以很方便地应用于串联体系以及串并联混合体系的体系可靠度计算。
短句来源
    With Airy stress function, a plane elasticity problem can be simplified to solve a biharmonic function equation.
    通过引入Airy应力函数,平面问题可以归结为在给定的边界条件下求解一个双调和方程.
短句来源
    Then the integrations were calculated with Maple commands. Afterwards,the results were simplified to be the form that was easy for reading with Maple commands.
    再用Maple完成积分计算,进而化简成人们便于阅读的形式。
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  simplified to
The resulting 20-1ayer models are then simplified to 4 to 5 layer models and input into an alternating depth and velocity frequency-band inversion.
      
A control volume based model of multiple gas/multiple ejector systems is simplified to a single gas/single ejector system.
      
At some loss in sharpness, it is simplified to furnish a second inequality purely involving the condition number of a "flow compliance" matrix.
      
The equations were simplified to those for axisymmetrical flowfields and an outline of the computational approach was also given.
      
The result can be readily simplified to the previous simple model needing a specified cap angle.
      
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A disussion is presented for the mathematical and mechanical meaning of the replacement of body forces by boundary loads in the two dimensional elasticity problems. The replacement is essentially a process of superpaosition. In general, a body-force problem can be considered as the superposition of a properly chosen stress-known problem and another boundary-loaded, (without body force) problem. In the body-force problem (in general, the body force may not have potiential) the stresses can be expressed by: ...

A disussion is presented for the mathematical and mechanical meaning of the replacement of body forces by boundary loads in the two dimensional elasticity problems. The replacement is essentially a process of superpaosition. In general, a body-force problem can be considered as the superposition of a properly chosen stress-known problem and another boundary-loaded, (without body force) problem. In the body-force problem (in general, the body force may not have potiential) the stresses can be expressed by: By proper choice of f(y) and g(x), the above equation governing stress function can be simplified to, say. Then the paper discusses the case of centrifugal forces as body forces.; The writer further points out the application of signifies that the induced boundary load is an unit vector the tangent of the boundary, and is the image of s.

根据重力壩的应力分析和一些其他的弹性力学问题(例如磁体弹性力学,或其他形式的体积 力,如离心力)的要求,对于体积力必须加以处理才能进行弹性力学的计算,或在电模拟试验设 备上进行电学量的量测。本文澄清了通过迭加或转化实质上是将通解特解分为一个已知应力问题 和一今有边界力而无体积力的弹性力学问题,文中提出具有体积力(不一定有势)的下列一般性 应力表达式 而 f(y)和g(x)可以经过选择使上述应力函数方程式探取最简单的形式,在很多实用情况下 本文然后讨论离心力转化的实质,指出应用 的方式,此时在转化后物体边界上将出现的边界力,为周边切向单位矢量, 为之影子(共轭矢量)。

The absolute transmissibility measurements in high frequency region are given in (his paper for vibration isolation systems consisting of several thicknesses of glass-fibre material and loadings.The measurements show that if the acceleration inputs are equal at different frequencies,such material-loading system has higher transmissibilities than that of a simple system in high frequecy region.It is discovered that the system possessing linear spring with stiffness varying proportionally with the square of frequency...

The absolute transmissibility measurements in high frequency region are given in (his paper for vibration isolation systems consisting of several thicknesses of glass-fibre material and loadings.The measurements show that if the acceleration inputs are equal at different frequencies,such material-loading system has higher transmissibilities than that of a simple system in high frequecy region.It is discovered that the system possessing linear spring with stiffness varying proportionally with the square of frequency can be used for simulating the high frequency transfer behaviour of such material-loading system on certain frequency range.The theoritical transmissibility curves are coincided fairly with the actual measurements.An approximate method for deteiming parameters of a variable stiffness system with absolute transmissibility measurements has been proposed.Errors induced are estimated.The accuracy of this method is sufficient for engineering purposes.For the solution of a variadle stiffness system,it can be simplified to that of a simple system in accordance with the sort of loading.

文章给出了玻璃纤维材料隔振系统,在几种厚度和荷重情况下,高频绝对传递率的测量结果。结果表明,这种材料隔振系统在各频率的输入加速度相等条件下,其高频传递率比普通简单系统的相应值要高。发现用弹簧刚度随频率平方增加的线性变刚度系统,能在一定频率范围内,较好地模拟玻璃纤维材料隔振系统的高频传递特性。理论计算曲线与实测值符合得很好。文章还给出了用传递率测量值确定变刚度系统参数的近似方法,估算了该方法的误差,其粗度足以满足工程要求。对于变刚度系统振动方程的求解,根据输入荷载的类型,可以化为不同情况的简单系统的振动方程来求解。

For the buckling ploblem of laminated plates under bidirectional axial compression, the single buckling mode optimization and double buckling modeopti-mization are distinguished. The former can be simplified to single design variable optimization, the latter has double buckling modes and the conditions of double buckling modes must be considered in its optimization.The equations for distinction of two kinds of buckling optimum problems and the conditions of double buckling modes are qiven.

本文在文[3]的基础上,进一步对受双向压缩时的情况进行分析。导出区分“极值优化”及“非极值优化”的判别条件及重模式失稳条件,说明对前一类问题可化为单设计变量寻求极值,而对后一类问题则用通常搜寻极值的方法不可能得到最优解。

 
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