Finite element model for vibration and buckling of functionally graded beams based on the first-order shear deformation theory

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• 作者：Volkan Kahya ; ^{volkan@ktu.edu.tr} ; Muhittin Turan ^{mturan61@hotmail.com}
• 关键词：Functionally graded materials ; Finite element method ; Free vibration ; Buckling ; First-order shear deformation theory
• 刊名：Composites Part B: Engineering
• 出版年：2017
• 出版时间：15 January 2017
• 年：2017
• 卷：109
• 期：Complete
• 页码：108-115
• 全文大小：773 K
• 卷排序：109

文摘

This paper presents a finite element model based on the first-order shear deformation theory for free vibration and buckling of functionally graded beams. The present element has five nodes and ten degrees-of-freedom. Material properties vary continuously through the beam thickness according to the power-law form. Governing equations are derived with the aid of Lagrange's equations. Natural frequencies and buckling loads are calculated numerically for different end conditions, power-law indices, and span-to-depth ratios. Accuracy of the present element is demonstrated by comparisons with the available results.