Buckling analysis of three-dimensional functionally graded Euler-Bernoulli nanobeams based on the nonlocal strain gradient theory

被引：2
|
作者：
Soleimani, Ahmad [1 ]
Zamani, Farshad [2 ]
Gorgani, Hamid Haghshenas [3 ]
机构：
[1] Univ Jiroft, Dept Mech Engn, Jiroft, Iran
[2] Isfahan Univ Technol, Dept Mech Engn, Esfahan 8415683111, Iran
[3] Sharif Univ Technol, Engn Graph Ctr, Tehran, Iran
来源：
JOURNAL OF COMPUTATIONAL APPLIED MECHANICS | 2022年 / 53卷 / 01期
关键词：
Buckling analysis; Strain gradient elasticity theory; Nano beam; Three-directional functionally graded materials (TDFGMs); Generalized differential quadrature method (GDQM); FREE-VIBRATION ANALYSIS; EXACT ELASTOPLASTIC ANALYSIS; TRUNCATED CONICAL SHELLS; WAVE-PROPAGATION; INTEGRAL MODEL; ELASTIC ANALYSIS; STRESS-DRIVEN; NANO-BEAMS; VARIABLE THICKNESS; TIMOSHENKO BEAMS;
D O I：
10.22059/jcamech.2022.338327.689
中图分类号：
O3 [力学];
学科分类号：
08 ; 0801 ;
摘要：
This paper presents a nonlocal strain gradient theory for capturing size effects in buckling analysis of Euler-Bernoulli nanobeams made of three-dimensional functionally graded materials. The material properties vary according to any function. These models can degenerate to the classical models if the material length-scale parameters is assumed to be zero. The Hamilton's principle applied to drive the governing equation and boundary conditions. Generalized differential quadrature method used to solve the governing equation. The effects of some parameters, such as small-scale parameters and constant material parameters are studied.
引用
收藏
页码：24 / 40
页数：17
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