Free vibration and buckling characteristics of porous functionally graded materials (FGMs) micro-beams based on the modified couple stress theory | |
Teng, Zhaochun; Wang, Weibin; Gu, Chunlong | |
刊名 | ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK |
2022-01-15 | |
卷号 | 102期号:4 |
关键词 | Algebra Beams and girders Boundary conditions Buckling Natural frequencies Critical buckling loads Differential transformation Free vibration Governing differential equations Hamilton's principle Micro beams Modified couple stress theories Pores distribution Simply supported Transformation methods |
ISSN号 | 0044-2267 |
DOI | 10.1002/zamm.202100219 |
英文摘要 | Based on the modified couple stress theory (MCST), the free vibration and buckling characteristics of porous functionally graded materials micro-beams (P-FGMs and E-FGMs) are studied. Firstly, two types of pore distribution are considered for functionally graded materials (FGMs) micro-beams. The governing differential equations of free vibration and buckling of FGMs micro-beams are derived by Hamilton's principle and dimensionless. Then, the dimensionless governing differential equations and their boundary conditions are transformed by differential transformation method (DTM), then the equivalent algebraic characteristic equations with natural frequencies are obtained. Finally, the dimensionless fundamental frequency and critical buckling load of the free vibration of the porous FGMs micro-beam under four different boundary conditions of clamped-clamped (C-C), clamped-simply supported (C-S), simply supported-simply supported (S-S) and clamped-free (C-F) are calculated. The results are compared with the existing literature data, and the correctness is verified. The effects of porosity, scale parameter, stiffness ratio, axial load and gradient index on the dimensionless natural frequency and critical buckling load of FGMs micro-beams are discussed. |
WOS研究方向 | Mathematics ; Mechanics |
语种 | 英语 |
出版者 | WILEY-V C H VERLAG GMBH |
WOS记录号 | WOS:000742762000001 |
内容类型 | 期刊论文 |
源URL | [http://ir.lut.edu.cn/handle/2XXMBERH/154845] |
专题 | 理学院 |
通讯作者 | Teng, Zhaochun |
作者单位 | Lanzhou Univ Technol, Sch Sci, Dept Engn Mech, Lanzhou 730050, Peoples R China |
推荐引用方式 GB/T 7714 | Teng, Zhaochun,Wang, Weibin,Gu, Chunlong. Free vibration and buckling characteristics of porous functionally graded materials (FGMs) micro-beams based on the modified couple stress theory[J]. ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,2022,102(4). |
APA | Teng, Zhaochun,Wang, Weibin,&Gu, Chunlong.(2022).Free vibration and buckling characteristics of porous functionally graded materials (FGMs) micro-beams based on the modified couple stress theory.ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK,102(4). |
MLA | Teng, Zhaochun,et al."Free vibration and buckling characteristics of porous functionally graded materials (FGMs) micro-beams based on the modified couple stress theory".ZAMM-ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND MECHANIK 102.4(2022). |
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