EXACT SOLUTION FOR FREE VIBRATION ANALYSIS OF FUNCTIONALLY GRADED MICROPLATES BASED ON THE STRAIN GRADIENT THEORY

International Journal for Multiscale Computational Engineering ◽

10.1615/intjmultcompeng.2015014164 ◽

2015 ◽

Vol 13 (6) ◽

pp. 463-474 ◽

Author(s):

Hamed Farahmand ◽

M. Mohammadi ◽

Aghil Iranmanesh ◽

S. S. Naseralavi

Keyword(s):

Exact Solution ◽

Free Vibration ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Strain Gradient Theory ◽

Gradient Theory

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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 ◽

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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Free vibration analysis of axially functionally graded nanobeam with radius varies along the length based on strain gradient theory

Applied Mathematical Modelling ◽

10.1016/j.apm.2015.01.015 ◽

2015 ◽

Vol 39 (18) ◽

pp. 5354-5369 ◽

Author(s):

Hamid Zeighampour ◽

Yaghoub Tadi Beni

Keyword(s):

Free Vibration ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Strain Gradient Theory ◽

Gradient Theory ◽

Functionally Graded Nanobeam

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Size-dependent thermo-mechanical free vibration analysis of functionally graded porous microbeams based on modified strain gradient theory

Journal of the Brazilian Society of Mechanical Sciences and Engineering ◽

10.1007/s40430-020-02340-3 ◽

2020 ◽

Vol 42 (5) ◽

Author(s):

Ali Akbar Pasha Zanoosi

Keyword(s):

Free Vibration ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Strain Gradient Theory ◽

Gradient Theory ◽

Modified Strain Gradient Theory ◽

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Size dependent free vibration analysis of multilayer functionally graded GPLRC microplates based on modified strain gradient theory

Composites Part B Engineering ◽

10.1016/j.compositesb.2019.02.048 ◽

2019 ◽

Vol 169 ◽

pp. 174-188 ◽

Author(s):

Chien H. Thai ◽

A.J.M. Ferreira ◽

P. Phung-Van

Keyword(s):

Free Vibration ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Strain Gradient Theory ◽

Gradient Theory ◽

Modified Strain Gradient Theory ◽

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Free vibration analysis of functionally graded anisotropic microplates using modified strain gradient theory

Engineering Analysis with Boundary Elements ◽

10.1016/j.enganabound.2020.05.003 ◽

2020 ◽

Vol 117 ◽

pp. 284-298

Author(s):

Chien H. Thai ◽

A.J.M. Ferreira ◽

P. Phung-Van

Keyword(s):

Free Vibration ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Strain Gradient Theory ◽

Gradient Theory ◽

Modified Strain Gradient Theory

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A three dimensional elasticity model for free vibration analysis of functionally graded micro/nano plates: Modified strain gradient theory

Composite Structures ◽

10.1016/j.compstruct.2018.08.033 ◽

2018 ◽

Vol 206 ◽

pp. 415-424 ◽

Author(s):

H. Salehipour ◽

A. Shahsavar

Keyword(s):

Free Vibration ◽

Strain Gradient ◽

Vibration Analysis ◽

Three Dimensional ◽

Free Vibration Analysis ◽

Functionally Graded ◽

Strain Gradient Theory ◽

Gradient Theory ◽

Modified Strain Gradient Theory ◽

Three Dimensional Elasticity

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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 ◽

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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Free vibration analysis of micro rotating beams based on the strain gradient theory using the differential transform method: Timoshenko versus Euler-Bernoulli beam models

European Journal of Mechanics - A/Solids ◽

10.1016/j.euromechsol.2017.05.006 ◽

2017 ◽

Vol 65 ◽

pp. 336-348 ◽

Author(s):

Hadi Arvin

Keyword(s):

Free Vibration ◽

Strain Gradient ◽

Vibration Analysis ◽

Free Vibration Analysis ◽

Strain Gradient Theory ◽

Gradient Theory ◽

Bernoulli Beam ◽

Transform Method ◽

Differential Transform ◽

Euler Bernoulli Beam

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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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Nonlinear bending and vibration analysis of functionally graded porous tubes via a nonlocal strain gradient theory

Composite Structures ◽

10.1016/j.compstruct.2018.07.063 ◽

2018 ◽

Vol 203 ◽

pp. 614-623 ◽

Author(s):

Gui-Lin She ◽

Fuh-Gwo Yuan ◽

Yi-Ru Ren ◽

Hai-Bo Liu ◽

Wan-Shen Xiao

Keyword(s):

Strain Gradient ◽

Vibration Analysis ◽

Functionally Graded ◽

Strain Gradient Theory ◽

Gradient Theory ◽

Nonlinear Bending ◽

Nonlocal Strain Gradient Theory ◽

Nonlocal Strain Gradient

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