Author
Metin Aydogdu
Bio: Metin Aydogdu is an academic researcher from Trakya University. The author has contributed to research in topics: Boundary value problem & Ritz method. The author has an hindex of 31, co-authored 95 publications receiving 4302 citations.
Papers published on a yearly basis
Papers
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TL;DR: In this paper, a generalized nonlocal beam theory is proposed to study bending, buckling and free vibration of nanobeams, and nonlocal constitutive equations of Eringen are used in the formulations.
Abstract: In the present study, a generalized nonlocal beam theory is proposed to study bending, buckling and free vibration of nanobeams. Nonlocal constitutive equations of Eringen are used in the formulations. After deriving governing equations, different beam theories including those of Euler–Bernoulli, Timoshenko, Reddy, Levinson and Aydogdu [Compos. Struct., 89 (2009) 94] are used as a special case in the present compact formulation without repeating derivation of governing equations each time. Effect of nonlocality and length of beams are investigated in detail for each considered problem. Present solutions can be used for the static and dynamic analyses of single-walled carbon nanotubes.
579 citations
TL;DR: In this paper, a new higher-order deformable laminated composite plate theory is proposed, which is constructed from 3-D elasticity bending solutions by using an inverse method, and exactly satisfies stress boundary conditions on the top and the bottom of the plate.
450 citations
TL;DR: In this article, the free vibration of simply supported FG beam was investigated and the governing equations were found by applying Hamilton's principle, and different higher order shear deformation theories and classical beam theories were used in the analysis.
445 citations
TL;DR: In this paper, a non-local elastic rod model is developed and applied to investigate the small-scale effect on axial vibration of nanorods, and explicit expressions are derived for frequencies for clamped-clamped and clamped free boundary conditions.
Abstract: Nonlocal elastic rod model is developed and applied to investigate the small-scale effect on axial vibration of nanorods. Explicit expressions are derived for frequencies for clamped–clamped and clamped–free boundary conditions. It is concluded that the axial vibration frequencies are highly over estimated by the classical (local) rod model, which ignores the effect of small-length scale. Present results can be used for axial vibration of single-walled carbon nanotubes.
316 citations
TL;DR: In this paper, the buckling and vibration of nanoplates are studied using nonlocal elasticity theory, and the results show that nonlocality effects should be considered for nanoscale plates.
Abstract: In the present study, buckling and vibration of nanoplates are studied using nonlocal elasticity theory. Navier type solution is used for simply supported plates and Levy type method is used for plates with two opposite edge simply supported and remaining ones arbitrary. Results are given for different nonlocality parameter, different length of plates and different boundary conditions. The results show that nonlocality effects should be considered for nanoscale plates. Clamped boundary conditions are more sensitive to nonlocality effects. In the vibration problem nonlocality effects increase with increase in the mode number. Present result can be used for single layer graphene sheets.
220 citations
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TL;DR: A review of the reported studies in the area of thermo-elastic and vibration analyses of functionally graded (FG) plates with an emphasis on the recent works published since 1998 is presented in this paper.
695 citations
TL;DR: In this paper, a generalized nonlocal beam theory is proposed to study bending, buckling and free vibration of nanobeams, and nonlocal constitutive equations of Eringen are used in the formulations.
Abstract: In the present study, a generalized nonlocal beam theory is proposed to study bending, buckling and free vibration of nanobeams. Nonlocal constitutive equations of Eringen are used in the formulations. After deriving governing equations, different beam theories including those of Euler–Bernoulli, Timoshenko, Reddy, Levinson and Aydogdu [Compos. Struct., 89 (2009) 94] are used as a special case in the present compact formulation without repeating derivation of governing equations each time. Effect of nonlocality and length of beams are investigated in detail for each considered problem. Present solutions can be used for the static and dynamic analyses of single-walled carbon nanotubes.
579 citations
TL;DR: In this paper, the authors provide an introduction to the development of the nonlocal continuum theory in modeling the nano-materials, survey the different non-local continuum models, and motivate further applications of nonlocal theory to nanomaterial modeling.
492 citations
TL;DR: In this paper, a nonlocal shear deformation beam theory is proposed for bending, buckling, and vibration of nanobeams using the nonlocal differential constitutive relations of Eringen.
459 citations
TL;DR: In this paper, the dynamic characteristics of functionally graded beam with material graduation in axially or transversally through the thickness based on the power law are presented. But the model is more effective for replacing the non-uniform geometrical beam with axially and transversely uniform geometrically graded beam.
458 citations