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Theoretical aspects regarding the straight rod with elliptical cross section subjected to torsion

机译:关于椭圆形横截面的直杆理论方面对扭转进行扭转

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Many engineering structures such as beams,shafts or thin-walled tubular rods are subject to twisting stress.Torsion of cylindrical and prismatic rods of various cross-section is of great practical utility and technical importance in engineering,structural design and mechanical work.Machine construction,steel bridges,ship buildings and brake systems are just some of the main areas of application.Calculation of the shear stress distribution due to a torsional moment is a complicated problem.Although several solutions have been formulated over time,only a few have analytical forms.In many situations the torsion problem was solved numerically using 2-dimensional Finite Element method.In the present paper,equations for the stress function and the torsional moment (Prantl's formula) are established for the considered geometry.
机译:许多工程结构如梁,轴或薄壁管状杆受到扭曲应力的影响。各种横截面的圆柱形和棱柱杆具有巨大实用的实用和技术重要性,结构设计和机械工作。 ,钢结构,船舶建筑和制动系统只是应用的一些主要领域。由于扭转时刻,剪切应力分布的剪切应力分布是一个复杂的问题。虽然已经随着时间的推移制定了几种解决方案,但只有少数有分析形式在许多情况下,使用二维有限元方法在数值上进行扭转问题。本文为所考虑的几何形状建立了应力函数的方程和扭转力矩(Prantl的公式)。

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