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equations of equilibrium
相关语句
  平衡方程
     Geometric Conditions of Independent Momental Equations of Equilibrium for Three Dimensional Force System
     空间力系矩式平衡方程相互独立的几何条件
短句来源
     On Vibrations Of Orthotropic Multiply Composite Spherical Shells Equations Of Equilibrium
     正交各向异性多层复合材料球壳振动的平衡方程
短句来源
     The other possible constrants are four of them: ( 1 ) equations of equilibrium, ( 2 ) Strain-displacement relations, ( 3 ) boundary conditions of given external forces and boundary conditions of given boundary displacements.
     剩下的可能约束条件共有四种:(1)平衡方程,(2)应变位移关系,(3)边界外力已知的边界条件,和(4)边界位移已知的边界条件。
短句来源
     and in order to satisfy the equations of equilibrium and boundary stress conditions, the principal modes of stress function are assumed;
     假定应力函数的基本模式,令其满足平衡方程及力的边界条件;
短句来源
     This paper presents a model of the vertical shear which acts on the soil body inside and outside a large diameter cylinder. It is assumed that the shear deformation stiffness constant is proportioanal to the depth under soil and displacement of the cylinder. The equations of equilibrium for solving the displacements are nonlinear,therefore an iterative approach to solving the equations is developed.
     提出一种作用于沉入式大直径圆筒内、外壁上的土体竖向切力模型.该模型假设土体的竖向剪切变形刚度系数与土中深度和筒体位移成比例,得到的求解筒体位移的平衡方程为一非线性方程组,为此建立了求解这一方程组的迭代算法,并用模型试验结果对其进行了检验.计算结果与试验结果吻合较好.
短句来源
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  “equations of equilibrium”译为未确定词的双语例句
     DIFFERENTIAL EQUATIONS OF EQUILIBRIUM ALONG ISOCHROMATICS AND ITS APPLICATION TO PHOTOELASTICITY
     沿等色线的平衡微分方程及其在光弹性问题中的应用
短句来源
     Some higher order moment equations of equilibrium distribution function needed in Navier-Stokes equation.
     给出Navier-Stokes方程所要求的平衡态分布函数的高阶矩形式.
短句来源
     The solutions of the equations of equilibrium when an arbitrary point dislocation source approaches to the earth's surface,and some techniques for integrating the equations of equilibrium and summing the harmonic solutions are also discussed. For 1066A earth model,the results. of the dislocation Love numbers of 4 types of dislocation sources are given at depth 5,10, 32,100,30O and 637km,respectively.
     本文进一步研究了SNREI地球模型内位错所产生的球型位移场问题.作为特例,讨论了位错位于地表时的解和计算技巧.对于1066A地球模型进行了具体计算.给出了深度分别为5,10,32,100,300和637km的4种类型位错的位错Love数的结果.
短句来源
     The phase equilibrium of system Li+, Na+, K+, Mg2+/Cl-. SO42--borate-H2O 25℃ (so called "Salt Lake Brine System") are then predicted via Pitier ion interaction approach of electrolyte solution. The solution composition of invariant points at 25℃ were calculated by solving a set of equations of equilibrium constant of minimizing Gibbs free energy of the system.
     报道用Pitzer电解质溶液理论对盐湖卤水体系Li+,K+,Mg2+/Cl-,SO42-—H2O25℃时相平衡的预测结果,并给出了与实验研究结果的对比。
短句来源
     This article discusses the Service-Servicing M/M/1/N queuing system. On the assumption of an exponential distribution, we have set up the equations of equilibrium state probabilities, and developed recution for- mula of equilibrium probabilities of the system.
     本文讨论了服务台可修的M/M/1/N排队系统,在指数分布的假设下,我们建立了系统稳态概率方程组,并求得了系统稳态概率的递推公式。
短句来源
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  equations of equilibrium
Equations of equilibrium for stress resultants and moments are derived.
      
Equations of equilibrium govering such configurations have been put in convenient forms.
      
A fourth-order Runge-Kutta numerical method provides solutions to fundamental equations of equilibrium and compatibility that are verified with those of a highly focused finite element (FE) analysis.
      
The coupled nonlinear equations of equilibrium and the boundary conditions are derived from a variational principle.
      
Exact solutions to the equations of equilibrium and electrostatics are obtained using a potential function approach based upon two piezothermoelastic potential functions, three piezoelastic potential functions and a piezoelectric potential function.
      
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This paper pressents a discussion on the subject based upon the concept of the cemented granular structure of the concrete. It is shown that the effect of infiltrating water through the concrete consists of three types of forces: 1) the buoyant force, 2) the hydrodynamic force, and 3) the surface force.A thorough investigation of the stresses in a gravity dam subject to infiltrating water includes the above mentioned forces. In the geometric method of stress analysis, these forces can be taken into account more...

This paper pressents a discussion on the subject based upon the concept of the cemented granular structure of the concrete. It is shown that the effect of infiltrating water through the concrete consists of three types of forces: 1) the buoyant force, 2) the hydrodynamic force, and 3) the surface force.A thorough investigation of the stresses in a gravity dam subject to infiltrating water includes the above mentioned forces. In the geometric method of stress analysis, these forces can be taken into account more convinently in the equations of equilibrium of the block.However, in the modern design of a concrete gravity dam, a less permeable layer and a drainage system are installed close to the upstream face of the dam. These make the seepage line lower inside the dam and the hydrodynamic force insignificant. Under this condition, the application of the method of gravity analysis, in which the water pressure is considered to be acting on the upstream face of the dam and the uplift of seepage water is aken to be an external force, will not bring in considerable error.With the same point of view, this paper further analizes and investigates the principal stress parallel to the upstream face of the modern concrete gravity dam and shows that, the well-known formula still gives a better approximation and lies on the safe side.

本文首先略述近若干年来考虑混凝土壩壩內渗透压力作用的设计假定及存在问题乇鹬赋隽芯S条件的不合理性,并指出目前某些規范要求部分滿足列維条件也是根据不足的。由于壩身混凝土是由骨料顆粒經水泥結石胶結而成的不均質多孔固体,当水透入混凝土时能产生以下三种作用力: ①浮力W_(BZB)=γ_B(n_s-n_v),力的方向鉛直向上; ②渗透动压力W_Φ=γ_BJn_s,力的方向与流线相切; ③表面作用力pΦ=p(1-n_s),力的方向垂直于壩面。正確的考虑渗透压力作用的壩身应力的計算必須包括上述这三种力。当用“小块法”計算霸身应力时,将它們考虑进去并没有什么困难。就力的性質来說,在霸內分布的浮力及渗透动压力都是体积力,在下游壩体內的渗透动压力的水平分量极易引起拉应力,对霸内应力十分不利。文中并指出:由于現代修建的混凝土壩在其上游面矷栌锌股炷敛慵芭潘苣?霸內等水头綫向上游密集;排水管后壩体的浸潤綫限低,浸潤线下的孔隙水压力也常很小,因此按照通常“重力分析法”認为外水压力作用在壩面,并将揚压力靦为外力,所算得的壩身应力分布并没有很大的誤差。最后,根据同样的論点,对于近年来国內爭論較多的上游壩面主应力的計算问题作了分析,...

本文首先略述近若干年来考虑混凝土壩壩內渗透压力作用的设计假定及存在问题乇鹬赋隽芯S条件的不合理性,并指出目前某些規范要求部分滿足列維条件也是根据不足的。由于壩身混凝土是由骨料顆粒經水泥結石胶結而成的不均質多孔固体,当水透入混凝土时能产生以下三种作用力: ①浮力W_(BZB)=γ_B(n_s-n_v),力的方向鉛直向上; ②渗透动压力W_Φ=γ_BJn_s,力的方向与流线相切; ③表面作用力pΦ=p(1-n_s),力的方向垂直于壩面。正確的考虑渗透压力作用的壩身应力的計算必須包括上述这三种力。当用“小块法”計算霸身应力时,将它們考虑进去并没有什么困难。就力的性質来說,在霸內分布的浮力及渗透动压力都是体积力,在下游壩体內的渗透动压力的水平分量极易引起拉应力,对霸内应力十分不利。文中并指出:由于現代修建的混凝土壩在其上游面矷栌锌股炷敛慵芭潘苣?霸內等水头綫向上游密集;排水管后壩体的浸潤綫限低,浸潤线下的孔隙水压力也常很小,因此按照通常“重力分析法”認为外水压力作用在壩面,并将揚压力靦为外力,所算得的壩身应力分布并没有很大的誤差。最后,根据同样的論点,对于近年来国內爭論較多的上游壩面主应力的計算问题作了分析,認为对于現代修建的混凝土壩,由于在其上游面有可靠的排水和防渗层,通常用N′_1=(σ′_Y-pcos~2α)/sina~2α計算上游霸面主应力仍是比較适宜,而且是偏于安全的。

In this paper are presented the fundamental equations for shells, the middle surfaces of which are nearly regular, such as a plane, cylindrical, shallow spherical, conical or spherical surface.If LZ = Lλf(θ1,θ2) is the distance between the middle surface of the given shell anda regular surface, where L is the characteristic length of the shell——the least radius ofcurvature or the least dimension of the middle surface, 1 is a small parameter, λ << 1, and f is a known function of coordinates θ1 and θ2, then by...

In this paper are presented the fundamental equations for shells, the middle surfaces of which are nearly regular, such as a plane, cylindrical, shallow spherical, conical or spherical surface.If LZ = Lλf(θ1,θ2) is the distance between the middle surface of the given shell anda regular surface, where L is the characteristic length of the shell——the least radius ofcurvature or the least dimension of the middle surface, 1 is a small parameter, λ << 1, and f is a known function of coordinates θ1 and θ2, then by means of the method of perturbation based upon the small parameter A, all the geometrical and physical quantities of the given shell can be expressed by the dimensions of the regular surface, the parameter A, and the function f. Moreover, the tensor equations of equilibrium, the relation between the strain tensor, and the displacement tensor and the stress-strain relation of the given shell can also be written in terms of the quantities of the regular surface, such that the problem can be solved by the method of perturbation. There examples showing shells, the middle surfaces of which are close to cylindrical, conical, and spherical surfaces are given in this paper.

本文以张量分析及小参数法给出了中面接近某一规则曲面的薄壳的解法,任意不规则中面的薄壳均可以用与之相当接近的规则曲面逼近之,从而可以把不规则薄壳的求解问题化为常见的薄壳的求解问题.文中附有中面接近圆柱面、圆锥面及球面的薄壳的例.

Reissner equations of elastic plate are derived on the bases of incomplete generalized variational principle of complementary energy. The stress function is obtained from the variational calculation in the form of Lagrange multiplier. The structure of solution of Reissner equations is thus determined. On the bases of these discussions, we obtained a simplified theory, in which the equations of equilibrium involving the shearing influence can be reduced into a fourth order differential equation similar...

Reissner equations of elastic plate are derived on the bases of incomplete generalized variational principle of complementary energy. The stress function is obtained from the variational calculation in the form of Lagrange multiplier. The structure of solution of Reissner equations is thus determined. On the bases of these discussions, we obtained a simplified theory, in which the equations of equilibrium involving the shearing influence can be reduced into a fourth order differential equation similar to those of classic plate theory.

本文根据不完全广义余能原理重新推导了Reissner方程,使应力函数ψ以拉格朗日乘子的方式从变分中自然引出,同时明确了Reissner方程的解的结构。在此基础上提出了一个简化理论,它只需求解一个类似于经典薄板理论的四阶方程,即可得到计及剪力对弯曲变形影响的令人满意的结果.

 
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