Critical examination of midplane and neutral plane formulations for vibration analysis of FGM beams

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• 作者：C.M. Wang^a ; L.L. Ke^b ; A.N. Roy Chowdhury^c ; ^{amar.roychowdhury@gmail.com} ; J. Yang^d ; S. Kitipornchai^a ; D. Fernando^a
• 关键词：Mid-plane ; Neutral plane ; Vibration ; Functionally graded materials ; Beams
• 刊名：Engineering Structures
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：130
• 期：Complete
• 页码：275-281
• 全文大小：504 K
• 卷排序：130

文摘

Vibration of FGM beam is investigated using Euler Bernoulli beam theory. The Mid-plane (MP) and neutral plane (NP) formulations are used. The MP formulation is perfectly fine for the analysis of FGM beams. The NP formulation is useful when the supporting lines are at the NP. For immovable simple support (SS) the MP and NP formulations give different results. The positioning of the immovable SS leads to the difference in results. For the clamped boundary conditions, MP and NP formulations give identical results.