Bending and free vibration analysis of nanobeams by differential and integral forms of nonlocal strain gradient with Rayleigh–Ritz method

Mahmood Fakher; Shahrokh Hosseini-Hashemi

doi:10.1088/2053-1591/aa9dd6

Bending and free vibration analysis of nanobeams by differential and integral forms of nonlocal strain gradient with Rayleigh–Ritz method

Materials Research Express ◽

10.1088/2053-1591/aa9dd6 ◽

2017 ◽

Vol 4 (12) ◽

pp. 125025 ◽

Cited By ~ 13

Author(s):

Mahmood Fakher ◽

Shahrokh Hosseini-Hashemi

Keyword(s):

Free Vibration ◽

Strain Gradient ◽

Vibration Analysis ◽

Ritz Method ◽

Free Vibration Analysis ◽

Integral Forms ◽

Nonlocal Strain Gradient

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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

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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

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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

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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

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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

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Nonlinear free vibration analysis of embedded flexoelectric curved nanobeams conveying fluid and submerged in fluid via nonlocal strain gradient elasticity theory

Microsystem Technologies ◽

10.1007/s00542-019-04408-0 ◽

2019 ◽

Vol 25 (11) ◽

pp. 4323-4339 ◽

Cited By ~ 1

Author(s):

Ali Parsa ◽

Ebrahim Mahmoudpour

Keyword(s):

Free Vibration ◽

Strain Gradient ◽

Vibration Analysis ◽

Gradient Elasticity ◽

Free Vibration Analysis ◽

Strain Gradient Elasticity ◽

Nonlinear Free Vibration ◽

Gradient Elasticity Theory ◽

Nonlocal Strain Gradient ◽

Conveying Fluid

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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

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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

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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

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A Superposition-Rayleigh-Ritz Method For Free Vibration Analysis Of Non-uniformly Tensioned Membranes

Journal of Sound and Vibration ◽

10.1006/jsvi.1993.1135 ◽

1993 ◽

Vol 162 (3) ◽

pp. 489-501 ◽

Cited By ~ 16

Author(s):

D.J. Gorman ◽

R.K. Singhal

Keyword(s):

Free Vibration ◽

Vibration Analysis ◽

Ritz Method ◽

Free Vibration Analysis ◽

Tensioned Membranes

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