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A computational algorithm is proposed that realizes a twofold FDTD calculation scheme and allows the calculation of wave processes in problems with arbitrary complex boundary conditions.


The transient coupled radiative and conductive heat transfer in a semitransparent composite under the complex boundary conditions is investigated by the ray tracing method in combination with Hottel's zonal method and the controlvolume method.


A method of constructing a solution of the heatconduction equation with complex boundary conditions


Finite element analysis of the impactecho testing at a concrete slab with complex boundary conditions


However, complex boundary conditions or irregular shapes of the structure members cause complication in impactecho measurements.

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The temperature field in the optical window of a space camera is calculated with complicated boundary conditions.


It is proposed to solve the heat conduction equation with complicated boundary conditions using the notion of Rfunctions.


The bending of the thin elastic semicircular plates, because of its complicated boundary conditions, brings some difficulties, for us to obtain its solution.


The numerical method is suitable to the situation of constant depth of outer regions and complicated boundary conditions of inner region, while the oscillating modes, motion amplitudes and phases of the cylinders may be different from one another.


Usually, it is very difficult to solve the equation for general problems, especially those with complicated boundary conditions.

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A general formula is given for the scattering amplitude of scalar plane waves under an arbitrary boundary condition.


In this paper, the general solution is obtained for free vibration of nonlinear deformation ringand stringerstiffened cylindrical shell with arbitrary boundary condition by step reduction method[1].


In this paper, the exact analytic method is suggested to solve variable coefficient differential equations under arbitrary boundary condition.


It can be applied to solve nonpositive definite or positive definite partial differential equation with arbitrary variable coefficient under arbitrary boundary condition.




 In the theory of thin plates, the bending of cantilever rectangular plates has long remained one of the most difficult problems in this field of study As a consequence, the solution now available are all limited to the approximate ones. To mention the authors who have solved this noted problem, there are: L. V. Kantorovich, D. L. Holl, W A. Nash and H. J. Plass, Jr., et. al. The methods they used are either variational methods or the method of difference. In this paper it is attempted to get an exact solution,... In the theory of thin plates, the bending of cantilever rectangular plates has long remained one of the most difficult problems in this field of study As a consequence, the solution now available are all limited to the approximate ones. To mention the authors who have solved this noted problem, there are: L. V. Kantorovich, D. L. Holl, W A. Nash and H. J. Plass, Jr., et. al. The methods they used are either variational methods or the method of difference. In this paper it is attempted to get an exact solution, which satisfies both the differential equation and the complicated boundary conditions including the free corners.  在薄板理论中,悬臂矩形板的弯曲,长期以来是个难题,因而,现有的解均属于近似解,如列出几位曾解过这问题的作者,可提到L.V.Kantorovich,D.L.Holl,W.A.Nash,H.J.Plass,Jr.等.他们所用的方法为变分法或差分法.本文将作出一个精确解.它满足微分方程及复杂的边界条件,包括自由角点条件.在我们的方法中,用了叠加法及广义简支边这概念.它的特点是:沿边各点的弯矩为零,但挠度是存在的,因而要满足自由边的条件.只须消除剩余的剪力.顾及自由角点的位移,只须叠加符合要求的一些简单的弯曲面方程.所得的结果与近似解很好地核对,充分证实了现在这解是正确的.  This paper points out that on certain condition the reciprocal theorem is equivalent to the superposition principle of displacements. On the basis of ref. [ 6 ], applications of the reciprocal theorem are further extended, then a convenient, general and new method is presented for solving the equations of deflection surface of the rectangular plates aad the straight beams with various edge conditions under various loads.  本文指出,在一定的条件下,功的互等定理等价于位移叠加原理.在[6]的基础上进一步推广了功的互等定理的应用,因而为求解在复杂受力情况下,具有复杂边界条件的矩形板和直梁的挠曲面方程提供了一个简便、通用的新计算方法.  In this paper, a new mixed variational principle of energy in linear elasticity the stateparted variational principle of energy is presented.If an elastic body with complex surface S is in static equilibrium, Let the part Su1 transform into Sσ1 and the part Sσ1 into Su1. The body having the surface is called the BASIC SYSTEM of the original body.Let us divide the state of the basic system into two substates called substates (1) and (2).Let us consider the substate (1) having potential energy and the substate... In this paper, a new mixed variational principle of energy in linear elasticity the stateparted variational principle of energy is presented.If an elastic body with complex surface S is in static equilibrium, Let the part Su1 transform into Sσ1 and the part Sσ1 into Su1. The body having the surface is called the BASIC SYSTEM of the original body.Let us divide the state of the basic system into two substates called substates (1) and (2).Let us consider the substate (1) having potential energy and the substate (2) having complementary energy and define the energy H. The functional of the stateparted variational principle of energy are as following: + H and so on.Problems dealing with a body having complex boundary conditions can be solved by means of the stateparted variational principle of energy.  本文提出了线弹性体力学的一类混合能量变分原理——分态能量变分原理。 文中首先定义了对弹性体施行边界变换以后获得的基本体系状态,然后把基本体系状态分解成两个子状态。对这两个子状态分别建立位能泛函和余能泛函,并定义两子状态之间的附加能量。从而可以构造出一族分态混合能量泛函。除了详细地论证了三种典型的分态能量变分原理以外,文中还列出了分态能量泛函的其它一些形式。 最后,说明了分态能量变分原理在计算具有复杂边界条件薄板问题中的应用。   << 更多相关文摘 
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