An analytical study on the nonlinear vibration of functionally graded beams

By L. Ke, Jie Yang, S. Kitipornchai. 2010

227 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Mechanical Engineering, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/d3495e844983342bd3956853f97d99fd413971f9

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Control and Systems Engineering

1. Y. Ghugal
2. A. S. Sayyad
3. E. Taati
4. S. Kitipornchai
5. Zhen-xin Wang
6. Hui‐Shen Shen
7. Mohammad Rafiee
8. A. Shooshtari

In Mechanical Engineering

1. A. S. Sayyad
2. Y. Ghugal
3. S. Kitipornchai
4. Mohammad Rafiee
5. A. Shooshtari
6. Zhen-xin Wang
7. Junliang Yang
8. Hui‐Shen Shen

In Mechanics of Materials

1. S. Kitipornchai
2. Hui‐Shen Shen
3. L. Ke
4. Junliang Yang
5. A. S. Sayyad
6. Farzad Ebrahimi
7. Y. Ghugal
8. Mohammad Rafiee

Citations in the corpus

• Nonlinear vibration analysis of functionally graded beams considering the influences of the rotary inertia of the cross section and neutral surface position (2018, background): “It is should be noted that the present nonlinear frequency has a minor increasing than the predicted results by Ke et al. (2010) and Shooshtari and Ra ee (2011).”
• Dynamic Stability of Functionally Graded Carbon Nanotube-Reinforced Composite Beams (2013, background): “(13), integrating by parts and setting the coefficients of U, W, and to zero leads to the governing equations as [37]:”
• Modeling and analysis of functionally graded sandwich beams: a review (2019, background): “[88] studied the nonlinear free vibration of FGM beams with MECHANICS OF ADVANCED MATERIALS AND STRUCTURES 1781”
• A size-dependent model for functionally graded micro-plates for mechanical analyses (2013, methodology): “As some examples, please see references Kitipornchai et al. (2006), Haddadpour et al. (2007, 2008), Jomehzadeh et al. (2009), Saidi et al. (2009), Asghari and Ghafoori 2010, Ke et al. (2010).”
• Nonlinear analysis of shear deformable FGM beams resting on elastic foundations in thermal environments (2014, methodology): “[15] studied nonlinear vibration of FGM beams by using the Galerkin method based on the Euler–Bernoulli beam theory.”
• Natural frequency analysis of functionally graded rectangular nanoplates with different boundary conditions via an analytical method (2015, background): “Many recent studies have contributed to the understanding large-scale functionally graded plates based on the classical continuum theory [29-31].”