X eksenine göre simetrik ne demek

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Yine hata milyonda bir mertebesindedir. Hata yine milyonda bir mertebesindedir. The main goal of this work is to calculate displacement and stress fields arrising in bars, including two different materials, under torsion. For solution boundary element method is used with Saint-Venant torsion. It is known that reciprocal identity is the starting point of boundary element method. This identitiy gives and integral equation which is written between two different problems of the same body. First problem is named as a singular elastostatic state and includes stress and displacement fields due to a loading in an infinite medium.

X eksenine göre simetrik ne demek

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Bing Resimler. This singularities can not be eliminated in stress expressions. The problem is considered as two different problems.

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X eksenine göre simetrik ne demek

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Therefore the integral over this circular arc must be added to the coefficient of the value of the torsion function at this nodal point. Then the integrals involves singularities on linear elements on which the loading point exists as an end point. And the second is a single circular cross-section. Resimler Google Resimler. But this error increases to 0. First problem is named as a singular elastostatic state and includes stress and displacement fields due to a loading in an infinite medium. Center and the radius are the same with the previous one. But to eliminate these singularities is not enough to calculate unknown stress component on the boundary. The aim of boundary element method is to reduce the problem to the solution of a system of linear algebraic equations. Therefore it must be a loading at every nodal point. Every linear segment of the boundary is named as a linear element and the end points of these are named as nodal points.

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Results are compatible with Mushkelishvili's and relative error has millionth order for this stresses too. Therefore it must be a loading at every nodal point. But at the left side the multiplier of torsion function becomes one. However in this work, these have been calculated analytically. Besides it must be emphasized that the integrals of the integral equation are on the boundary of the problem. Integrals at the right side must be derived with respect to y1 and y2 before calculating integrals. But in these calculations y point is an inner point of the cross-section. For this cross-section whole values relating to torsion function and stresses are very near with those of the first problem for the points far from the notch. The results of this problem can be found in Muskhelishvili's book. The values of the torsion function at nodal points become the multipliers of certain integrals on each linear element. Besides the values of torsion function is zero on symmetry axes. Here at first the stress and displacement fields are built due to an infinite line load in the direction of x3 axis in an infinite medium at the point y y1,y2.