铝面板PMI泡沫芯夹层梁弯曲的弹性计算理论

发布时间：2019-04-21 20:40

【摘要】：把铝面板聚甲基丙烯酰亚胺(PMI)泡沫芯夹层梁的弯曲问题按平面应力问题进行研究,采用弹性理论建立了铝面板PMI泡沫芯夹层梁弯曲变形的微分方程,利用奇异函数把作用在梁上的外载荷表示为分布载荷,推导出了铝面板PMI泡沫芯夹层梁弯曲变形时的挠度表达式.按所推出的挠度表达式计算了铝面板PMI泡沫芯夹层梁中点挠度,并将其与有关文献采用能量法和有限元法计算的结果、有关文献所给出的试验值进行比较后发现,按所推出的挠度表达式计算的结果更为接近试验值,说明其计算精度是可靠的,而且表达形式较为简便,可在工程实际中推广应用.
[Abstract]:The bending problem of aluminum panel polymethylacrylamide imide (PMI) foam core sandwich beam is studied according to the plane stress problem. The differential equation of bending deformation of aluminum panel PMI foam core sandwich beam is established by means of elastic theory. The external load acting on the beam is expressed as a distributed load by means of singular function, and the deflection expression of the sandwich beam with PMI foam core on the aluminum panel is derived. According to the derived deflection expression, the mid-point deflection of PMI foam core sandwich beam with aluminum panel is calculated, and the results are compared with those calculated by energy method and finite element method in the relevant literatures. After comparing the experimental values given in the relevant literatures, it is found that the deflection of the sandwich beam with foam core in aluminum panel has been calculated. The calculated results based on the derived deflection expressions are closer to the experimental values, which shows that the calculation accuracy is reliable and the expression form is relatively simple. It can be widely used in engineering practice.
【作者单位】：湖南文理学院机械工程学院;
【基金】：湖南省科技计划项目(2011SK3145) 湖南“十二五”重点建设学科项目(湘教发[2011]76号) 湖南省自然科学基金资助项目(2015JJ6073)
【分类号】：O343

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