变截面悬臂弯曲梁的变形

IF 2.8 Q2 MECHANICS

Journal of Applied and Computational Mechanics Pub Date : 2021-01-01 DOI:10.32973/jcam.2021.002

István Escedi, A. Baksa

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引用次数: 2

摘要

本文讨论了弯曲悬臂梁的位移和应力的确定问题。所考虑的弯曲梁具有圆形的中心线，其横截面的厚度取决于周向坐标。采用欧拉-伯努利梁的运动学理论。弯曲弹性梁一端固定，另一端承受集中力矩和力;考虑了三种不同的加载情况。本文给出了径向和周向位移、截面旋转和周向应力的解析解。本文给出的例子可以作为本文中其他类型解决方案的基准。

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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Deformation of a cantilever curved beam with variable cross section

This paper deals with the determination of the displacements and stresses in a curved cantilever beam. The considered curved beam has circular centerline and the thickness of its cross section depends on the circumferential coordinate. The kinematics of Euler-Bernoulli beam theory are used. The curved elastic beam is fixed at one end and on the other end is subjected to concentrated moment and force; three different loading cases are considered. The paper gives analytical solutions for radial and circumferential displacements and cross-sectional rotation and circumferential stresses. The presented examples can be used as benchmark for the other types of solutions as given in this paper.

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来源期刊

Journal of Applied and Computational Mechanics MECHANICS-

CiteScore

6.90

自引率

3.20%

发文量

审稿时长

8 weeks

期刊介绍： The Journal of Applied and Computational Mechanics aims to provide a medium for dissemination of innovative and consequential papers on mathematical and computational methods in theoretical as well as applied mechanics. Manuscripts submitted to the journal undergo a blind peer reviewing procedure conducted by the editorial board. The Journal of Applied and Computational Mechanics devoted to the all fields of solid and fluid mechanics. The journal also welcomes papers that are related to the recent technological advances such as biomechanics, electro-mechanics, advanced materials and micor/nano-mechanics. The scope of the journal includes, but is not limited to, the following topic areas: -Theoretical and experimental mechanics- Dynamic systems & control- Nonlinear dynamics and chaos- Boundary layer theory- Turbulence and hydrodynamic stability- Multiphase flows- Heat and mass transfer- Micro/Nano-mechanics- Structural optimization- Smart materials and applications- Composite materials- Hydro- and aerodynamics- Fluid-structure interaction- Gas dynamics