Vibration analysis of non-uniform tapered beams with nonlinear FGM properties

Keshmiri, Alireza1; Wu, Nan1; Wang, Quan2

2018-11

10.1007/s12206-018-1031-x

Journal of Mechanical Science and Technology   影响因子和分区

1738-494X

1976-3824

This paper presents the free vibration analysis of a non-uniform cone beam with nonlinearly varying axial functionally graded material (FGM) properties. Based on the Adomian decomposition method and a proposed modified mathematical procedure, the vibration mode shapes and natural frequencies of a nonlinearly tapered FGM beam are analytically derived. Several vibration analyses for uniform and non-uniform FGM structures are presented and the results are compared with the existing ones to prove the effectiveness and accuracy of the proposed methodology. Additionally, vibration analysis of exponentially and trigonometrically tapered beams with nonlinearly axial varying FGM properties considering different geometry and material taper ratios was studied and presented. Based on this analytical model, ideal structural design can be efficiently achieved for many engineering applications, such as stability enhancement and energy harvesting.

Adomian decomposition method Free vibration analysis Nonlinearly varying axial FGM Nonlinearly tapered beam

SCI ; EI

英语

其他

Natural Sciences and Engineering Research Council of Canada[] ; University of Manitoba[] ; Research Manitoba[]

Engineering

Engineering, Mechanical

WOS:000452510600032

KOREAN SOC MECHANICAL ENGINEERS

20185006226941

Beams and girders ; Computerized tomography ; Energy harvesting ; Functionally graded materials ; Structural design

Structural Design, General:408.1 ; Structural Members and Shapes:408.2 ; Energy Conversion Issues:525.5 ; Computer Applications:723.5

Web of Science

1.Univ Manitoba, Sch Mech Engn, Winnipeg, MB R3T 2N2, Canada
2.Southern Univ Sci & Technol, Dept Mech & Aerosp Engn, Shenzhen 518055, Peoples R China

Keshmiri, Alireza,Wu, Nan,Wang, Quan. Vibration analysis of non-uniform tapered beams with nonlinear FGM properties[J]. Journal of Mechanical Science and Technology,2018,32(11):5325-5337.

Keshmiri, Alireza,Wu, Nan,&Wang, Quan.(2018).Vibration analysis of non-uniform tapered beams with nonlinear FGM properties.Journal of Mechanical Science and Technology,32(11),5325-5337.

Keshmiri, Alireza,et al."Vibration analysis of non-uniform tapered beams with nonlinear FGM properties".Journal of Mechanical Science and Technology 32.11(2018):5325-5337.