Elastic Buckling and Free Vibration Analysis of Functionally Graded Timoshenko Beam with Nonlocal Strain Gradient Integral Model

Applied Mathematical Modelling ◽

10.1016/j.apm.2021.03.040 ◽

2021 ◽

Author(s):

Yuan Tang ◽

Hai Qing

Keyword(s):

Free Vibration ◽

Timoshenko Beam ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Integral Model ◽

Elastic Buckling ◽

Nonlocal Strain Gradient

Download Full-text

Buckling and free vibration analysis of functionally graded sandwich micro-beams resting on elastic foundation by using nonlocal strain gradient theory in conjunction with higher order shear theories under thermal effect

Composites Part B Engineering ◽

10.1016/j.compositesb.2018.08.103 ◽

2018 ◽

Vol 154 ◽

pp. 292-312 ◽

Cited By ~ 15

Author(s):

Mohammed Al-shujairi ◽

Çağrı Mollamahmutoğlu

Keyword(s):

Free Vibration ◽

Thermal Effect ◽

Elastic Foundation ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Strain Gradient Theory ◽

Gradient Theory ◽

Nonlocal Strain Gradient

Download Full-text

Comment on “Free vibration analysis of nonlocal strain gradient beams made of functionally graded material” [Int. J. Eng. Sci. 102 (2016) 77‒92]

International Journal of Engineering Science ◽

10.1016/j.ijengsci.2017.06.026 ◽

2017 ◽

Vol 119 ◽

pp. 189-191 ◽

Cited By ~ 7

Author(s):

Xiao-Jian Xu ◽

Bo Zhou ◽

Mu-Lian Zheng

Keyword(s):

Free Vibration ◽

Functionally Graded Material ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Graded Material ◽

Nonlocal Strain Gradient

Download Full-text

Free vibration analysis of size-dependent functionally graded microbeams based on the strain gradient Timoshenko beam theory

Composite Structures ◽

10.1016/j.compstruct.2011.06.024 ◽

2011 ◽

Vol 94 (1) ◽

pp. 221-228 ◽

Cited By ~ 233

Author(s):

R. Ansari ◽

R. Gholami ◽

S. Sahmani

Keyword(s):

Free Vibration ◽

Timoshenko Beam ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Beam Theory ◽

Functionally Graded ◽

Timoshenko Beam Theory ◽

Size Dependent

Download Full-text

Free vibration analysis of viscoelastic nanotubes under longitudinal magnetic field based on nonlocal strain gradient Timoshenko beam model

Physica E Low-dimensional Systems and Nanostructures ◽

10.1016/j.physe.2018.09.005 ◽

2019 ◽

Vol 105 ◽

pp. 116-124 ◽

Cited By ~ 35

Author(s):

Ya-Xin Zhen ◽

Shi-Long Wen ◽

Ye Tang

Keyword(s):

Magnetic Field ◽

Free Vibration ◽

Timoshenko Beam ◽

Strain Gradient ◽

Vibration Analysis ◽

Longitudinal Magnetic Field ◽

Free Vibration Analysis ◽

Beam Model ◽

Timoshenko Beam Model ◽

Nonlocal Strain Gradient

Download Full-text

A Nonlocal Strain Gradient Shell Model for Free Vibration Analysis of Functionally Graded Shear Deformable Nanotubes

International Journal Of Engineering & Applied Sciences ◽

10.24107/ijeas.309818 ◽

2017 ◽

Vol 9 (2) ◽

pp. 88-88 ◽

Cited By ~ 2

Author(s):

Yaghoub Tadi Beni ◽

Fahimeh Mehralian

Keyword(s):

Free Vibration ◽

Shell Model ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Shear Deformable ◽

Nonlocal Strain Gradient

Download Full-text

Free vibration analysis of nonlocal strain gradient beams made of functionally graded material

International Journal of Engineering Science ◽

10.1016/j.ijengsci.2016.02.010 ◽

2016 ◽

Vol 102 ◽

pp. 77-92 ◽

Cited By ~ 254

Author(s):

Li Li ◽

Xiaobai Li ◽

Yujin Hu

Keyword(s):

Free Vibration ◽

Functionally Graded Material ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Graded Material ◽

Nonlocal Strain Gradient

Download Full-text

Surface and size-dependent effects on the free vibration analysis of cylindrical shell based on Gurtin-Murdoch and nonlocal strain gradient theories

Journal of Physics and Chemistry of Solids ◽

10.1016/j.jpcs.2018.12.038 ◽

2019 ◽

Vol 129 ◽

pp. 140-150 ◽

Cited By ~ 16

Author(s):

Khashayar Ghorbani ◽

Kianoosh Mohammadi ◽

Ali Rajabpour ◽

Majid Ghadiri

Keyword(s):

Cylindrical Shell ◽

Free Vibration ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Size Dependent ◽

Gradient Theories ◽

Nonlocal Strain Gradient

Download Full-text

Free vibration analysis of micro plate reinforced with functionally graded graphene nanoplatelets based on modified strain-gradient formulation

Journal of Sandwich Structures & Materials ◽

10.1177/1099636219839302 ◽

2019 ◽

pp. 109963621983930 ◽

Cited By ~ 11

Author(s):

Elyas Mohammad-Rezaei Bidgoli ◽

Mohammad Arefi

Keyword(s):

Free Vibration ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Graphene Nanoplatelets ◽

Functionally Graded

Download Full-text

Size-dependent free vibration analysis of first-order shear-deformable orthotropic nanoplates via the nonlocal strain gradient theory

Materials Research Express ◽

10.1088/2053-1591/aa7e69 ◽

2017 ◽

Vol 4 (7) ◽

pp. 075054 ◽

Cited By ~ 17

Author(s):

K Rajabi ◽

Sh Hosseini-Hashemi

Keyword(s):

Free Vibration ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Strain Gradient Theory ◽

Gradient Theory ◽

First Order ◽

Size Dependent ◽

Shear Deformable ◽

Nonlocal Strain Gradient

Download Full-text

A Size-Dependent Meshfree Approach for Free Vibration Analysis of Functionally Graded Microplates Using the Modified Strain Gradient Elasticity Theory

10.1007/978-981-16-3239-6_52 ◽

2021 ◽

pp. 673-690

Author(s):

Lieu B. Nguyen ◽

Chien H. Thai ◽

H. Nguyen-Xuan

Keyword(s):

Free Vibration ◽

Elasticity Theory ◽

Strain Gradient ◽

Vibration Analysis ◽

Gradient Elasticity ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Strain Gradient Elasticity ◽

Size Dependent ◽

Gradient Elasticity Theory

Download Full-text