PERTURBATION ANALYSIS FOR MAGNETO-PLASTIC INSTABILITY OF FERROMAGNETIC BEAM-PLATES WITH GEOMETRIC IM

来源 :Acta Mechanica Solida Sinica | 被引量 : 0次 | 上传用户:lkhyuse
下载到本地 , 更方便阅读
声明 : 本文档内容版权归属内容提供方 , 如果您对本文有版权争议 , 可与客服联系进行内容授权或下架
论文部分内容阅读
The magneto-plastic instability of a ferromagnetic beam-type plate with simple supports and small initial imperfection is analytically investigated in this paper for that the plastic deformation of the plate with a linear-strain hardening relation is considered when the plate is located in a strong uniformly distributed magnetic ?eld. After the distribution of magnetic ?elds related to the de?ected con?guration of plate is imaginably divided into two parts, i.e., one is related to the ?at plate and the other dependent on the perturbation of magnetic ?elds for which the plate con?guration changes from the ?at into the deformed state, the perturbation technique is employed to analyze the distribution of the perturbation magnetic ?elds in and out-of the magnetic medium of the ferromagnetic structure in a transverse magnetic ?eld, which leads to some analytical formulae/solutions for the magnetic ?elds and the resulting magnetic force exerted on the plate. Based on them, the magneto-plastic buckling and snapping of the plate in a transverse magnetic ?eld is discussed, and the critical magnetic ?eld is analytically formulated in terms of the parameters of geometry and material of the plate employed by solving the governing equation of the magneto-plastic plate in the applied magnetic ?eld. Further, the sensitivity of the initial imperfection on the magneto-plastic instability, expressed by an ampli?cation function, is obtained by solving the dynamic equation of de?ection of the plate after the inertial force in the transverse direction is taken into account. The results obtained show that the critical magnetic ?eld is sensitive to the plastic characteristic, e.g., hardening coe?cient, and the instability mode and de?ection of the plate are dependent on the geometrical imperfection as well. The magneto-plastic instability of a ferromagnetic beam-type plate with simple supports and small initial imperfection is analytically investigated in this paper for that plastic deformation of the plate with linear-strain hardening relation is considered as the plate is located in a strong uniformly distributed magnetic? eld. After the distribution of magnetic? elds related to the de? ected con? guration of plate is imaginably divided into two parts, ie, one is related to the? at plate and the other dependent on the perturbation of magnetic elds for which the plate con? guration changes from the? at into the deformed state, the perturbation technique is employed to analyze the distribution of the perturbation magnetic? elds in and out-of the magnetic medium of the ferromagnetic structure in a transverse magnetic ? eld, which leads to some analytical formulas / solutions for the magnetic? elds and the resulting magnetic force exerted on the plate. Based on them, the magn eto-plastic buckling and snapping of the plate in a transverse magnetic? eld is discussed, and the critical magnetic? eld is analytically formulated in terms of the parameters of geometry and material of the plate employed by solving the governing equation of the magneto-plastic Plate in the applied magnetic? eld. Further, the sensitivity of the initial imperfection on the magneto-plastic instability, expressed by an ampli? cation function, is obtained by solving the dynamic equation of de? ection of the plate after the inertial force in the transverse direction is taken into account. The results obtained show that the critical magnetic? eld is sensitive to the plastic characteristic, eg, hardening coe? cient, and the instability mode and de? ection of the plate are dependent on the geometrical imperfection as well.
其他文献
《道德与法治》教材的低年段采用了绘本式教材设计的思路,它不仅是讲故事,学知识,而且可以全面帮助孩子建构精神世界,培养多元智能,笔者结合学校的特色教育活动“打开童书育
评判性语篇分析是语篇分析中常用的一种手段。它也是培养非英语专业的大学生批判思维的有效手段,而这恰恰就是我们的大学生们在英语学习中经常会忽略的部分。同时,对大学生进
今年以来,相继有9家尚未盈利的企业在科创板上市,这在A股市场30年来是从来没有过的,甚至在全球市场也是不多见的.与此类似的,最为广大投资者所熟知的市场,就是美国的纳斯达克
期刊
初中语文教学既要对小学语文教学进行良好的承接,又要为高中语文教学奠定基础,是学生语文学习的重要过渡阶段。在这一阶段中,写作和阅读两方面学习至关重要,由于目前初中语文
期刊
最近的《参考消息》以“处理核废料研究取得突破”为题,转载了英国《观察家报》的报道,介绍说欧洲科学家设计了一个能安全处理放射性废料的反应堆,能“把反应堆产生的各种没用的
2020年,中国农业的发展机会有多大?  先来看看各路巨头的动作。科技公司领头羊,如阿里、京东、腾讯和百度纷纷入局智慧农业;外人看来赚钱赚到手软的房地产开发商们,恒大、万科、碧桂园在农业上的投资全是大手笔,百亿元只是起步价;装备制造龙头,如中联重科,在农机产业已深耕数年,其无人驾驶收割机已投入运营。  顺着巨头们所指的方向看过去,有了黑科技加持,农业正成为新的风口。  “农业现在是处于风口上。”农
期刊
鸡西矿业集团公司张辰煤矿西三采区3
期刊
高中物理教学因为其内容抽象难懂的特点,一直难以取得比较令人满意的教学成果,因此本文以人教版高中物理为例,结合笔者多年的教学经验,针对目前高中物理教学实效性不高的现状
快速点火是运用超短超强激光在常规聚变靶丸上打孔并利用其产生的超热电子内芯部输运能量来实现激光聚变点火.它将有可能大大降低对激光器能量及光束质量等方而的要求.利用超
鸡西矿业集团公司张辰煤矿西三采区3
期刊