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Determining the Geometrical Sizes of Plates with Internal Hinges by Using Additional Conditions
Advances in Mathematical Physics ( IF 1.2 ) Pub Date : 2020-08-31 , DOI: 10.1155/2020/3258423
Vildan Yazıcı 1 , Zahir Muradoğlu 1
Affiliation  

For a system obtained by placing more than two elastic plates side by side, the transmission conditions are obtained at the common boundaries. Finite difference equations are developed for the problem of plates with internal hinges and applied for determination of the response of a system assembled from three different plates with different mechanical constraints between adjacent plates in this study. An algorithm is written to find out how long the size of the plates should be in order to obtain the desired amount of bending against the force affecting the system under different boundary conditions. The bisection and multigrid methods are used for this. These two methods are compared based on the obtained data.

中文翻译:

通过使用附加条件确定带有内部铰链的板的几何尺寸

对于通过并排放置两个以上弹性板而获得的系统,透射条件是在公共边界处获得的。针对具有内部铰链的板的问题,开发了有限差分方程,并将其用于确定由三个不同板组成的系统的响应,该三个不同板在相邻板之间具有不同的机械约束。编写了一种算法来找出板的大小,以便在不同的边界条件下抵抗影响系统的力获得所需的弯曲量。分割和多重网格方法用于此目的。根据获得的数据比较这两种方法。
更新日期:2020-08-31
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