Bending analysis of functionally graded sectorial plates using Levinson plate theory

Sahraee, Shahab

doi:10.1016/j.compstruct.2008.05.014

Cited by 39 publications

(15 citation statements)

References 17 publications

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“…Therefore, a rather large amount of work has been done on this issue [51][52][53][54][55][56][57][58][59][60][61][62][63][64]. There are also a number of studies on geometrically non-linear analysis of annular sector plates [65][66][67][68][69][70][71][72][73][74][75][76][77].…”

Section: Introductionmentioning

confidence: 99%

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

Alinaghizadeh

Shariati

2016

Composites Part B: Engineering

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Section: Introductionmentioning

confidence: 99%

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

Alinaghizadeh

Shariati

2016

Composites Part B: Engineering

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“…Some research work has been done on the bending behavior of the annular sector plate. For example, Jomehzadeh et al and Sahraee [1,2] analyzed the bending of functionally graded annular sector plates based on the Levinson plate theory and the first order shear deformation plate theory. Fallah and Nosier [3] reformulated the governing equations of the first order theory into the interior and edge-zone problems of the circular sector plate and analyzed the bending of functionally graded circular sector plates subjected to transverse loading.…”

Section: Introductionmentioning

confidence: 99%

Thermoelastic Coupling Vibration and Stability Analysis of Rotating Annular Sector Plates

Yang

Wang

2019

Mathematical Problems in Engineering

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This study investigates the thermoelastic coupling vibration and stability of rotating annular sector plates. Based on Hamilton's principle and thermal conduction equation with deformation effect, the differential equation of transverse vibration for a rotating annular sector plate is established. The differential equation of vibration and corresponding boundary conditions are discretized by the differential quadrature method. Then, the thermoelastic coupling transverse vibrations under three different boundary conditions are calculated. The change curve of the first three order dimensionless complex frequencies of the rotating annular sector plate with the dimensionless angular speed are analyzed in the case of the thermoelastic coupling and uncoupling. The effects of the dimensionless angular speed, the ratio of inner to outer radius, the sector angle, and the dimensionless thermoelastic coupling coefficient on transverse vibration and stability of the annular sector plate are discussed. Finally, we obtained the type of instability and corresponding critical speed of the rotating annular sector plate in the case of the thermoelastic coupling and uncoupling.

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“…This has been addressed by in [7][8][9] for axially graded Euler-Bernoulli and Timoshenko beams. It has also been fully discussed for radially FGM circular plates by Sahraee [10], Shariyat and Alipour [11] and Hosseini-Hashemi et al [12], [13]. However, information about rectangular plates with in-plane inhomogeneity is very limited.…”

Section: Introductionmentioning

confidence: 99%

Transverse vibration analysis of FGM plates with in-plane exponentially non-homogeneous material

Boreyri

Ketabdari

Mohtat³

et al. 2016

IJPR

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In this research, free vibration of rectangular functionally graded (FG) plates with in-plane exponentially non-homogeneous material is investigated. Young's modulus and mass density are assumed to vary between a metal-rich and a ceramic-rich zone along one in-plane direction of the plate. The governing differential equation is derived for the case, and a truncated Taylor series expansion technique is utilized to calculate natural frequencies. A Levy-type solution is obtained for plates having two simply supported edges parallel with the material gradient direction. Results for normalized natural frequency are compared with the 4th order Runge-Kutta method, and when possible with exact solution, showing an accurate agreement. Furthermore, a comprehensive parametric study is carried out to determine the effects of different boundary conditions, aspect ratios, and material variations on the free vibration of FGM plates. Nomenclature

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Bending analysis of functionally graded sectorial plates using Levinson plate theory

Cited by 39 publications

References 17 publications

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

Geometrically non-linear bending analysis of thick two-directional functionally graded annular sector and rectangular plates with variable thickness resting on non-linear elastic foundation

Thermoelastic Coupling Vibration and Stability Analysis of Rotating Annular Sector Plates

Transverse vibration analysis of FGM plates with in-plane exponentially non-homogeneous material

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