Exact Solution for Free Vibration Analysis of FGM Beams

被引：5

作者：

Bouamama, Mohamed ^{[1
]}

Elmeiche, Abbes ^{[1
]}

Elhennani, Abdelhak ^{[1
]}

Kebir, Tayeb ^{[2
]}

Harchouche, Zine El Abidine ^{[2
]}

机构：

[1] Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Dept Mech Engn, Lab Mech Struct & Solids, Sidi Bel Abbes 22000, Algeria

[2] Univ Djillali Liabes Sidi Bel Abbes, Fac Technol, Dept Mech Engn, Lab Mat & Syst React, Sidi Bel Abbes 22000, Algeria

来源：

REVUE DES COMPOSITES ET DES MATERIAUX AVANCES-JOURNAL OF COMPOSITE AND ADVANCED MATERIALS | 2020年 / 30卷 / 02期

关键词：

exact solution; free vibration analysis; beams; E-FGM; fundamental frequencies; material distribution; FUNCTIONALLY GRADED MATERIALS; THERMAL-STRESSES; BEHAVIOR; PLATES;

D O I：

10.18280/rcma.300201

中图分类号：

TB33 [复合材料];

学科分类号：

摘要：

This study relates the exact solution for free-vibration analysis of beams in material gradient (FGMs) subjected to the different conditions of support using the Euler Bernoulli theory (CBT). It is assumed that the material properties continuously change across the thickness of the beam according to the exponential function (E-FGM). The equations of motion are obtained by applying the principle of virtual works on beams and fundamental frequencies are found by solving the equations governing the eigenvalue problems. Numerical results are presented to describe the influence of the material on the fundamental frequencies of the beam for different state boundaries.

引用

页码：55 / 60

页数：6

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