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morley方程
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  morley equation
     The general solution can be got by solving modified Morley equation in (α,β) system.
     其中齐次解采用修正的Morley方程直接在(α,β)系中求解,对有面力和无面力作用下的特解,分别采用Flügge方程及薄膜理论方程在直角坐标系(ξ,φ)中求解,然后再转换到(α,β)系中。
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  “morley方程”译为未确定词的双语例句
     Because of the complicated boundary shapes in this type of problems, it is difficult to solve the well known Morley's equation.
     由于开孔问题的边界形状较为复杂,使用圆柱壳的 Morley 方程进行求解较为困难。
短句来源
     By using the method of characteristics,the Money equations governing the motion of a curved beam subjected to pluse type loading are solved. An application is made to the study of the propagation of elastic wave in curved beam, the middle of which subjected to pluse type loading.
     用特征线法求出了脉冲载荷作用下的控制曲梁运动的Morley方程的数值解,并用Plass的直梁结果验证了曲率趋于零的极限情形,应用性地研究了曲梁中部受冲击载荷作用的弹性波传播问题.计算结果表明:该数值计算方法简便易行、效率高、有良好的收敛性和稳定性.
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  相似匹配句对
     The simple equation changes into nonlin-ear Schrodinger equation when viscous effect is died away.
     dinger 方程
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     THE EQUATION OF MAGNETIC LINE OF FORCE
     磁力线方程
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     THE CONFIRMATION OF MORLEY CONVERSE THEOREM
     Morley逆定理的证明
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  morley equation
Instead of the Donnell shallow shell equation, the modified Morley equation, which is applicable toρ0(R/T)1/2?1, is used for the analysis of the shell with cutout.
      


In this paper we deal with the analysis of stress distributions aroundcircular cutouts in cylindrical shells. Because of the complicated boundary shapes in this type of problems, it is difficult to solve the well known Morley's equation. Based on the error analysis we modified the Morley's equation, and furthermore got a general solution of the modified Morley's tquation which is suitable for the analysis of cutout problems. We took the problems of cylindrical shells under the action of axial tension and internal...

In this paper we deal with the analysis of stress distributions aroundcircular cutouts in cylindrical shells. Because of the complicated boundary shapes in this type of problems, it is difficult to solve the well known Morley's equation. Based on the error analysis we modified the Morley's equation, and furthermore got a general solution of the modified Morley's tquation which is suitable for the analysis of cutout problems. We took the problems of cylindrical shells under the action of axial tension and internal pressure as the examples, and found out the stress distributions that are valid within the range of open ratio less than 1/2. Finally we discussed the effective range of the Donnell's equation for the analysis of cutout problems.

本文研究圆柱壳开孔附近的应力分析问题。由于开孔问题的边界形状较为复杂,使用圆柱壳的 Morley 方程进行求解较为困难。本文在进行误差分析的基础上提出修正 Mo-rley 方程,并给出适合于开孔问题边界的一般解。以圆柱壳受轴向拉伸和内压为例分析了开孔附近的应力分布。给出了开孔率为 1/2以下的开孔解,并对 Donnell 方程解的适用范围给予了新的评价。

By using the method of characteristics,the Money equations governing the motion of a curved beam subjected to pluse type loading are solved. An application is made to the study of the propagation of elastic wave in curved beam, the middle of which subjected to pluse type loading.

用特征线法求出了脉冲载荷作用下的控制曲梁运动的Morley方程的数值解,并用Plass的直梁结果验证了曲率趋于零的极限情形,应用性地研究了曲梁中部受冲击载荷作用的弹性波传播问题.计算结果表明:该数值计算方法简便易行、效率高、有良好的收敛性和稳定性.

The complete set of solutions for the stresses in cylindrical shells in polar coordinates was obtained by constructing a fundamental solution of the modified Morley equation for a circular cylindrical shell. The theoretical proof is based on the theory of Schwartz generalized functions. The analytical solution for the stresses in a cylindrical shell subjected to a concentrated normal force and thermal loadings can be obtained from this fundamental solution. Numerical results for the singular solutions with integrands...

The complete set of solutions for the stresses in cylindrical shells in polar coordinates was obtained by constructing a fundamental solution of the modified Morley equation for a circular cylindrical shell. The theoretical proof is based on the theory of Schwartz generalized functions. The analytical solution for the stresses in a cylindrical shell subjected to a concentrated normal force and thermal loadings can be obtained from this fundamental solution. Numerical results for the singular solutions with integrands expressed in terms of the product of the second Hankel function and the exponential function agree well with FEM results. The present solutions can be used to analyze two intersecting cylindrical shells as particular solutions, since there is no restriction on the size ratio as with the traditional double Fourier series solutions of Timoshenko equation.

对精确的圆柱壳方程求完备的极坐标解系是薄壳理论的一个难题。该文给出了修正的Morley方程在坐标原点具有奇性的基本解的一种构造方法,以及基于Schwartz广义函数理论的证明。并据此基本解得到了圆柱壳受集中法向载荷、集中温度载荷作用下的奇异解,这些积分形式的解的被积函数具有第二种Hankel函数和指数函数乘积的形式,容易获得数值结果。该文的计算结果与有限元数值结果能很好地符合,利用该文所提出的奇异解作为特解求解圆柱壳开孔接管支管受载荷问题,与采用Timoshenko方程的双三角级数特解相比可以不受小开孔率的限制。

 
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