三层梁的动态稳定性--三明治结构理论的推广

IF 16.4 1区 化学 Q1 CHEMISTRY, MULTIDISCIPLINARY
K. Magnucki, E. Magnucka-Blandzi
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引用次数: 0

摘要

摘要 本研究的重点是简单支撑三层梁在脉动轴力作用下的动态稳定性问题。研究建立了该梁的两个分析模型:一个模型考虑了横截面变形的非线性假设,另一个模型考虑了标准的 "断线 "假设。对每种模型的位移、应变和应力进行了详细计算。根据汉密尔顿原理,确定了每个模型的运动方程。考虑到轴向脉动力,近似求解了每个模型的两微分方程系,并确定了基本自然频率、临界力和马修方程。对一个示例梁系列进行了详细研究。计算了三种脉动载荷情况下的稳定和不稳定区域。比较了两个模型计算出的示例梁的基本固有频率和临界力值。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Dynamic Stability of a Three-Layer Beam – Generalisation of the Sandwich Structure Theory
Abstract The work focuses on the dynamic stability problem of a simply supported three-layer beam subjected to a pulsating axial force. Two analytical models of this beam are developed: one model takes into account the non-linear hypothesis of cross-section deformation, and the other takes into account the standard “broken line” hypothesis. Displacements, strains and stresses for each model are formulated in detail. Based on the Hamilton principle, equations of motion are determined for each of these models. These systems of two differential equations for each model are approximately solved with the consideration of the axial pulsating force, and the fundamental natural frequencies, critical forces and the Mathieu equation are determined. Detailed studies are performed for an exemplary family of beams. The stable and unstable regions are calculated for the three pulsating load cases. The values of fundamental natural frequencies and critical forces of exemplary beams calculated from two models are compared.
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来源期刊
Accounts of Chemical Research
Accounts of Chemical Research 化学-化学综合
CiteScore
31.40
自引率
1.10%
发文量
312
审稿时长
2 months
期刊介绍: Accounts of Chemical Research presents short, concise and critical articles offering easy-to-read overviews of basic research and applications in all areas of chemistry and biochemistry. These short reviews focus on research from the author’s own laboratory and are designed to teach the reader about a research project. In addition, Accounts of Chemical Research publishes commentaries that give an informed opinion on a current research problem. Special Issues online are devoted to a single topic of unusual activity and significance. Accounts of Chemical Research replaces the traditional article abstract with an article "Conspectus." These entries synopsize the research affording the reader a closer look at the content and significance of an article. Through this provision of a more detailed description of the article contents, the Conspectus enhances the article's discoverability by search engines and the exposure for the research.
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