Free transverse vibrational analysis of axially functionally graded tapered beams via the variational iteration approach

被引：29

作者：

Chen, Yanfei ^{[1
,2
,3
]}

Dong, Shaohua ^{[1
]}

Zang, Zhipeng ^{[3
]}

Gao, Modi ^{[1
]}

Zhang, Juan ^{[4
]}

Ao, Chuan ^{[1
]}

Liu, Hao ^{[1
]}

Zhang, Qi ^{[1
]}

机构：

[1] China Univ Petr, Sch Mech & Transportat Engn, Beijing, Peoples R China

[2] Dalian Univ Technol, State Key Lab Struct Anal Ind Equipment, Dalian, Peoples R China

[3] Tianjin Univ, State Key Lab Hydraul Engn Simulat & Safety, Tianjin, Peoples R China

[4] HydroChina Beijing Engn Corp, Beijing, Peoples R China

来源：

JOURNAL OF VIBRATION AND CONTROL | 2021年 / 27卷 / 11-12期

基金：

美国国家科学基金会; 国家重点研发计划;

关键词：

Functionally graded materials; tapered beams; variational iteration method; natural frequencies; mode shapes; NATURAL FREQUENCY; NONUNIFORM;

D O I：

10.1177/1077546320940181

中图分类号：

O42 [声学];

学科分类号：

070206 ; 082403 ;

摘要：

Tapered beams constitute functionally graded materials that are widely used in various engineering fields. The vibrational characteristics of tapered beams made of axially varying functionally graded materials are investigated via variational iteration method. Natural frequencies and corresponding mode shapes of axially functionally graded tapered beams are examined, and calculated frequencies are compared with results provided by previous researchers using other approximate methods. The efficiency and accuracy of this technique are demonstrated. The effect of nonhomogeneous material distribution, taper ratio as well as boundary conditions on the dynamical behavior of axially functionally graded tapered beams is thoroughly investigated as well.

引用

页码：1265 / 1280

页数：16

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