PHYSICAL AND MECHANICAL STATE OF CANTILEVER TRIANGULAR PLATES

Journal of Mathematics, Mechanics and Computer Science Pub Date : 2023-06-01 DOI:10.26577/jmmcs.2023.v118.i2.07

S. Akhmediyev, O. Khabidolda, N. Vatin, G. Yessenbayeva, R. Muratkhan, С.К. Ахмадиев, Ө. Хабидолда, Н.И. Ватин, Гульсима Ахмадиевна Есенбаева, Р. Муратхан, Қазақстан Қарағанды Ә. Сағынов атындағы Қарағанды техникалық университ, Қазақстан Қарағанды қ. Академик Е.А. Бөкетов атындағы Қарағанды университ, С.К. Ахмедиев, O. Хабидолда

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Abstract

In this paper, the bending of cantilever triangular plates at the same angles of inclination of the side edges to the base is investigated. Due to the complexity of the boundary conditions, a numerical ﬁnite diﬀerence method is applied using a grid of scalene triangles that ﬁts well into the contour of the plate. To solve the problem of an acute angle at the top of the plate, the method of combining the results of calculating a cantilever bar of variable bending stiﬀness with similar results of calculating a triangular plate supported along the contour using a reduction factor is applied. The results of deﬂections of the cantilever triangular plate at diﬀerent angles of inclination of the side edges to the base are given. The theoretical provisions and applied results of this study can be used both in scientiﬁc research and in engineering design.

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悬臂三角形板的物理力学状态

本文研究了悬臂三角形板在边角与基底倾斜相同情况下的弯曲问题。由于边界条件的复杂性，采用了一种数值有限差分法，该方法使用不等边三角形网格来很好地适应板的轮廓。针对板顶存在锐角的问题，将变弯曲刚度悬臂杆的计算结果与沿轮廓支撑的三角形板的计算结果结合起来，采用折减系数法求解。给出了悬臂三角形板在不同边沿与基底倾斜角度下的挠度计算结果。本研究的理论规定和应用成果既可用于科学研究，也可用于工程设计。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Journal of Mathematics, Mechanics and Computer Science

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