Bending and free vibration response of layered functionally graded beams: A theoretical model and its experimental validation

Kapuria, S.; Bhattacharyya, M.; Kumar, Amar

doi:10.1016/j.compstruct.2007.01.019

Cited by 277 publications

(98 citation statements)

References 31 publications

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“…His study includes the simply supported and cantilever beams. The static and free vibration analysis of layered FGM beams based on a third order shear deformation beam theory is developed by Kapuria et al [5]. A two nodes finite element method is adopted to solve the coupled ordinary differential equations.…”

mentioning

confidence: 99%

Thermomechanical buckling oftemperature-dependent FGM beams

Kiani

Eslami

2013

Lat. Am. j. solids struct.

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mentioning

confidence: 99%

Thermomechanical buckling oftemperature-dependent FGM beams

Kiani

Eslami

2013

Lat. Am. j. solids struct.

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“…Among those, Navier type solution method has been applied by Aydogdu and Taskin (2007) to study free vibration of FG beams with simply supported edges. Kapuria et al (2008) found vibration response of layered FG beams. Li et al (2013) suggested a unified approach for analyzing free vibration of Euler and Timoshenko FG beams.…”

Section: Introductionmentioning

confidence: 99%

Semi-analytical Vibration Characteristics of Rotating Timoshenko Beams Made of Functionally Graded Materials

Ebrahimi

Mokhtari

2015

Lat. Am. j. solids struct.

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Free vibration analysis of rotating functionally graded (FG) thick Timoshenko beams is presented. The material properties of FG beam vary along the thickness direction of the constituents according to power law model. Governing equations are derived through Hamilton's principle and they are solved applying differential transform method. The good agreement between the results of this article and those available in literature validated the presented approach. The emphasis is placed on investigating the effect of several beam parameters such as constituent volume fractions, slenderness ratios, rotational speed and hub radius on natural frequencies and mode shapes of the rotating thick FG beam.

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“…From a micro-scale perspective, having unique properties such as high stiffness and great thermal resistance capacity, leads to wide usage of such these materials in different applications such as aerospace, nuclear plants, and other engineering applications [18][19][20][21][22][23].…”

Section: Introductionmentioning

confidence: 99%

Free vibration analysis of functionally graded stiffened micro-cylinder based on the modified couple stress theory

Jabbarian

Ahmadian

2017

Scientia Iranica

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Abstract. In this paper, free vibration of the micro-cylinder made by functionally graded material that is stiffened in circumferential direction, has been investigated based on the modified couple stress and first order shear deformation theories. Modified couple stress theory (MCST) has been used to catch size effects in micro scales. By using first order shear deformation theory and Hamilton principle, general equations of motion and corresponding boundary conditions have been derived. Free vibration of the structure has been investigated by implementing simply supported boundary condition as a common case. The effects of different parameters such as dimensionless length scale parameter, distribution of FGM properties, number of stiffeners, thickness and length on the natural frequencies were calculated and compared with classical continuum theory. Results show that effects of the size are considerable and also using stiffeners lead to increase in natural frequencies which is because of increase in stiffness of the cylinder.

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Bending and free vibration response of layered functionally graded beams: A theoretical model and its experimental validation

Cited by 277 publications

References 31 publications

Thermomechanical buckling oftemperature-dependent FGM beams

Thermomechanical buckling oftemperature-dependent FGM beams

Semi-analytical Vibration Characteristics of Rotating Timoshenko Beams Made of Functionally Graded Materials

Free vibration analysis of functionally graded stiffened micro-cylinder based on the modified couple stress theory

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