Reach of an inclined cantilever with a tip load

IF 1.1 4区工程技术 Q3 MATERIALS SCIENCE, CHARACTERIZATION & TESTING

Archives of Mechanics Pub Date : 2019-03-12 DOI:10.24423/AOM.3254

P. Singh, V. Goss

引用次数: 0

Abstract

We investigate the problem of determining the reach of an inclined cantilever for a given point load suspended from its tip. Two situations are considered. Firstly, we find the maximum reach of the cantilever by varying its angle of inclination. Secondly, we find the reach of the cantilever subject to the condition that its tip is at some specified height, above or below, the level of the clamped end. In the second case, the reach of the cantilever is maximised by shortening its physical length whilst keeping the physical load and physical height of load deployment constant. All of our solutions representing various reaches of an inclined cantilever for a given point load suspended from its tip are shown to be stable to the snap-back instability.

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倾斜悬臂带顶端载荷的范围

我们研究的问题，确定一个倾斜的悬臂梁的到达一个给定的点荷载悬挂在其尖端。这里考虑了两种情况。首先，通过改变悬臂梁的倾角，求出悬臂梁的最大位移。其次，我们发现悬臂梁的长度受制于其尖端在某个特定高度的条件，高于或低于夹紧端的水平。在第二种情况下，通过缩短其物理长度，同时保持物理负载和负载部署的物理高度恒定，使悬臂梁的到达最大化。我们所有的解决方案代表了一个倾斜的悬臂梁的不同到达一个给定的点负载悬吊从其尖端被证明是稳定的弹回不稳定性。

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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来源期刊

Archives of Mechanics 工程技术-材料科学：表征与测试

CiteScore

1.40

自引率

12.50%

发文量

审稿时长

>12 weeks

期刊介绍： Archives of Mechanics provides a forum for original research on mechanics of solids, fluids and discrete systems, including the development of mathematical methods for solving mechanical problems. The journal encompasses all aspects of the field, with the emphasis placed on: -mechanics of materials: elasticity, plasticity, time-dependent phenomena, phase transformation, damage, fracture; physical and experimental foundations, micromechanics, thermodynamics, instabilities; -methods and problems in continuum mechanics: general theory and novel applications, thermomechanics, structural analysis, porous media, contact problems; -dynamics of material systems; -fluid flows and interactions with solids. Papers published in the Archives should contain original contributions dealing with theoretical, experimental, or numerical aspects of mechanical problems listed above. The journal publishes also current announcements and information about important scientific events of possible interest to its readers, like conferences, congresses, symposia, work-shops, courses, etc. Occasionally, special issues of the journal may be devoted to publication of all or selected papers presented at international conferences or other scientific meetings. However, all papers intended for such an issue are subjected to the usual reviewing and acceptance procedure.