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theory of elasticity
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  弹性理论
     One method was obtained from the calculation of the effective bulk modulus and the other method was based on the theory of elasticity.
     并介绍了两种计算方法,方法一通过计算混凝土有效体积模量求得有效弹性模量,方法二直接利用弹性理论计算混凝土有效弹性模量。
短句来源
     By using e of the theory of elasticity and variation method, the problem of ground stress field in V-shaped river valleys is studied.
     介绍了河谷地应力研究现状 ,利用弹性理论和变分原理 ,研究了V型河谷岩体地应力问题 ,得到了河谷岩体中由于自重应力和构造应力引起的复杂应力场。
短句来源
     Representing General Solution of Equations in Theory of Elasticity by Harmonic Functions
     用调和函数表示弹性理论方程组的一般解
短句来源
     The Method of Substitution for Constituting Variational Functional in Finite Displacement Theory of Elasticity
     有限位移弹性理论变分泛函的代入构成法
短句来源
     Variational Principles with Mixed Variables in Theory of Elasticity with Finite Displacement
     有限位移弹性理论混合变量的变分原理
短句来源
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  弹性力学
     Application of the Finite Part of a Divergent Integral in the Theory of Elasticity
     发散积分的有限部分在弹性力学中的应用
短句来源
     Mixed Formulation and Hamilton Canonical Equations of Theory of Elasticity
     弹性力学的混合方程和Hamilton正则方程
短句来源
     Micromechanics energy equivalent modulus method and micropolar theory of elasticity
     细观力学能量等效模量方法与微极弹性力学
短句来源
     Algorithm of Automatic Formation of Finite Difference Equation forSolving Plane Problems in Theory of Elasticity
     弹性力学中平面问题差分方程自动生成算法研究
短句来源
     In chapter 8 solutions by eigenfunction expansion to 1-dimensional problems of mechanics and 2-dimensional problems of theory of elasticity are researched.
     第八章研究1维力学和2维弹性力学问题的特征函数展开解法。
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  “theory of elasticity”译为未确定词的双语例句
     Three-dimensional Problems of the Mathematical Theory of Elasticity and Thermoelasticity
     弹性与热弹性数学理论的三维问题
短句来源
     In this paper, the strength design calculation fumula of cylindrical shell of boiler is arialyzed by the theory of elasticity shell, the analysis result is important to the boiler design calculation and safety.
     本文采用弹性薄壳理论及强度理论对锅炉受压元件圆柱壳的应力及强度计算公式进行了分析. 通过分析,加深了对锅炉圆柱壳强度计算公式的理解,为正确进行强度设计提供了理论依据.
短句来源
     The molecular theory of elasticity for TPUE at large deformation was varified by the above experiments.
     以上述实验数据验证了前报所提出的热塑型聚氨酯弹性体大形变弹性分子理论,该理论同实验能较好地符合。
短句来源
     STUDY ON THE RELATIONSHIPS BETWEEN THE STRUCTURE OF NETWORKS FOR PHASE STATE AND THE MECHANICAL PROPERTIES OF TPUE Ⅰ. THE MOLECULAR THEORY OF ELASTICITY FOR TPUE AT LARGE DEFORMATION
     TPUE相态网络结构与力学性能间相关性的研究 Ⅰ.TPUE在大形变下的弹性分子理论
短句来源
     When the tissue is in the condition of small deformation,lateral displacement estimated using axial strain based on linear theory of elasticity;
     在小变形情况下 ,基于应变 -位移的线性关系由轴向应变来重构横向位移 ;
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  theory of elasticity
The solution of the boundary value problems of the theory of elasticity is sought in the form of expansions into series of the associated Legendre polynomials.
      
It is shown that when there are no gas phases and the liquid is incompressible the system of equations reduces to the general equations of the theory of elasticity of an anisotropic body with fictitious stress components.
      
Averaged systems of equations of the theory of elasticity in a medium with weakly compressible inclusions
      
The latter provides an explanation for the generation of the second shear harmonic that is observed in real solids contrary to the predictions of the nonlinear theory of elasticity, which prohibits such phenomena.
      
Possible descriptions of phasons in incommensurate crystal phases and quasicrystals have been reviewed in terms of the theory of elasticity and superspace symmetry.
      
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Two methods for analyzing caisson-beams are introduced in this paper.One is the well-known method of redundant forces. The author has simplified this methed by using couples of redundant forces to set up a typical equation and pointing out the rule that the matrix of the coefficients of simultaneous linear equations which are organized from the expansion of that typical equation. This method can be easily solvd when the number of unknown redundant forces, or that of equations, is less than 3 or 4; but it will...

Two methods for analyzing caisson-beams are introduced in this paper.One is the well-known method of redundant forces. The author has simplified this methed by using couples of redundant forces to set up a typical equation and pointing out the rule that the matrix of the coefficients of simultaneous linear equations which are organized from the expansion of that typical equation. This method can be easily solvd when the number of unknown redundant forces, or that of equations, is less than 3 or 4; but it will be difficult when the number is more than that. In order to solve this difficulty the author suggests another kind of method of which the essential principle is mentioned in the following.Supposing that the distance between the beams is sufficiently short in comparing with their spans, we can set up a partial differential equation for its deffiection W, as we often do in the theory of elasticity. In this way we can solve it with its boundary conditions of simple supporting by sine series. From this we can easily get the formulas of bending moments, shears and twist moments of each beam by partially differentiating the function of deffiection. The result of the calculation proves that it quite agrees with the method of redundant forces when the distance between beams is no longer than 1/5 of their spans.There are some tables given in this raper for practical use.

本文介紹了計算井字梁的兩种方法。 第一种方法是按冗力送来計算的。本文利用了成对的未知力以建立冗力法的典型方程,指明了由典型方程所組成的联立方程中其系数排列的規律,从而簡化了建立方程的过程和減少錯誤的机会。冗力法仅在联立方程的数目不多于3至4时是相当方便的,若未知冗力过多,解算过程便異常繁重。为此,笔者提出了下述的第二种方法。 当梁的間距比梁的跨度为一較小的数值时,可应用彈性力学所常用的方法,建立一个关于井字梁撓度曲面的偏微分方程。以符合簡支边界条件的正弦级数求出撓度后,便可依微分关系求出各梁的弯矩、切力及扭矩。鈇摩辛柯在其著作中(見[3]§37)討論向異性板的弯曲时,亦曾附帶地提及本法的可能性。本文給出了全部計算公式及为实用的目的而制訂了各种数表。計算的結果表明当梁間距不大于跨度的1/5时,本法与冗力法的結果相差無几,而本法在应用上的簡便笑为任何方法所不及。

In recennt years field tests have shown that the moduli of elasticity of rock foundation E_(OC) are generally not greater than those of concrete E_σ.When E_(OC)=E_σ, the coefficients of foundation restraint R are given in the following table,as shown by photoelasticity experiment. Coefficient of Foundation Restraint R (When E_σ=E_(OC)) y=height of the point in consideration. L=length of the block. When E_B≠E_(OC),R may be computed hy the following semi-empirical formula: R'=(1.82R)/(1+0.82(E_σ)/(E_(OC))) Where...

In recennt years field tests have shown that the moduli of elasticity of rock foundation E_(OC) are generally not greater than those of concrete E_σ.When E_(OC)=E_σ, the coefficients of foundation restraint R are given in the following table,as shown by photoelasticity experiment. Coefficient of Foundation Restraint R (When E_σ=E_(OC)) y=height of the point in consideration. L=length of the block. When E_B≠E_(OC),R may be computed hy the following semi-empirical formula: R'=(1.82R)/(1+0.82(E_σ)/(E_(OC))) Where R is taken from the above table. Taking into consideration the rise and drop of temperature,the change of E_σ and R with the age of concrete and the plastic flow of concrete,the allowable tem- perature difference Δt=t_p+t_r-t_f may-be computed by the following formula; t_p+k_rt_r-t_f≤(17)/(KR) Where t_p=placing temperature of concrete, t_r=rise of temperature due to heat of hydration, t_f=final stable temperature, K=factor of safety k_r=0.60~70. When E_B=E_(OC),R=0.55,K=1.30,by the above formula,Δt=t_p+t_r-t_f=25~30℃, which is much higher than 17℃,the allowable temperature difference now in use. When there is a temparature difference between the upper and lower portion of the block,the coefficients of restraint of the lower portion are given in the following table,as obtained by the theory of elasticity: Coefficient of Restraint of lower,portion. In the construction of Gootien dam.as 30% rock is placed in the concrete,there is only 110kg of pozzolan Portland cement in 1 M~3 of concrete,the adiabatic tem- perature rise is lower than 18℃;thus the heiglrt of lift may be raised to 6-10 M or greater from November to May of next year.Only in June,July and August pre- cooling and pipe-cooling may be necessary.

大体积混凝土坝的散热问题是如何解决大型水利枢纽建设速度的关键问题之一。本文从温度应力的观点说明考虑到基础变形、早期压应力、徐变及塑性变形等因素,注块的允许温差可以较目前采用的数值适当提高。再加上充分利用低温季节,大量埋入块石,沿主应力做斜缝及人工冷却等技术措施,便有可能大大加快混凝土坝的建筑,使我国水利水电建设的速度发生一个飞跃。

The main exertion of this writing is to investigate the condition of stress and deformation caused by a cylindrical inclusion of circular cross section, which possesses different coefficient of expansion as the material of the vicinal region, in a semi-infinite elastic solid, when the composite body is subjected to the same relatively high temperature. It was so arranged that the axis of the cylindrical inclusion is parallel to the free surface of the semi-infinite elastic solid; c represents the distance from...

The main exertion of this writing is to investigate the condition of stress and deformation caused by a cylindrical inclusion of circular cross section, which possesses different coefficient of expansion as the material of the vicinal region, in a semi-infinite elastic solid, when the composite body is subjected to the same relatively high temperature. It was so arranged that the axis of the cylindrical inclusion is parallel to the free surface of the semi-infinite elastic solid; c represents the distance from this axis to the free surface, while a0 is the diameter of the cylinder. In order to let the cylinder totally buried, we have to request that c > a0.The whole composite body was thought to be heated to a uniform temperature TO-On account of the different coefficients of thermal expansion of the two materials, the evoked stresses must be proportional to the difference of these coefficients.But the same stress and deformation condition will also take place when the two materials possess the same coefficient of expansion, and the inclusion is heated to the temperature T0 solely, while the rest of the composite body is kept at 2ero temperature.With the y-axis lieing in the free surface and the x-axis perpendicular to it, we have to, according to the case with two different coefficients of thermal expansion, solve the following differential equations:where η0 means the difference of the thermal expansion coefficients, v the Poisson ratio,the thermal displacement function, R =It was found that the following two thermal displacement functions do satisfy the two differential equations (1) outside und inside of the cylindrical inclusion respectively, while K represents a composite material constant.Nevertheless, the thermal displacement function has further aroused a boundary value problem of pure elasticity nature, which is solved with the usual methods presented in the theory of elasticity.When the two partial solutions are superposed, then we get the following complete solution of the announced problem: Finally, it is still necessary to remark, that some data were unfavourably chosen so as to have rendered that the resulting maximum stresses, in the numerical example, surmount already the elastic limit of the related material. We have to ask our reader to consider the material so as to have a higher elastic limit, because the author has obstinately hesitated to take new values and then to repeat a rather large scale tedious numerical calculation.

在许多工业机具的设计中,有时需要把弹性系数相同但热胀系数不同的两种材料组成一个组合机体,同时这种机体又得处于相当高的温度之下;由于两种材料的热胀系数不同,所以必然会引起比较复杂的热应力.在考虑这种机具的使用安全和设计经济时,需要较详尽地知道其中的应力和变形的规律. 本文选园柱体作为异质体,另一个机件是半无限弹性体,利用埸论中的有关原理先把热弹性问题化成弹性力学边界值问题,并用Fourier变换求得了解答.

 
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