Semi-Analytical Solution for Vibration of Nonlocal Piezoelectric Kirchhoff Plates Resting on Viscoelastic Foundation [PDF]
Journal of Applied and Computational Mechanics, 2018 Semi-analytical solutions for vibration analysis of nonlocal piezoelectric Kirchhoff plates resting on viscoelastic foundation with arbitrary boundary conditions are derived by developing Galerkin strip distributed transfer function method.
D.P. Zhang, Yongjun Lei, Z.B. Shen
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A nonlocal sinusoidal plate model for micro/nanoscale plates [PDF]
, 2014 A nonlocal sinusoidal plate model for micro/nanoscale plates is developed based on Eringen’s nonlocal elasticity theory and sinusoidal shear deformation plate theory.
Thai, Huu-Tai +3 more
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A nonlocal sinusoidal shear deformation beam theory with application to bending, buckling, and vibration of nanobeams [PDF]
, 2012 This paper presents a nonlocal sinusoidal shear deformation beam theory for the bending, buckling, and vibration of nanobeams. The present model is capable of capturing both small scale effect and transverse shear deformation effects of nanobeams, and ...
Thai, Huu-Tai, Vo, Thuc
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Vietnam Journal of Mechanics, 2023 This paper analyses free vibrations of framed nanostructures made of Functionally Graded Material (FGM) based on the Nonlocal Elastic Theory (NET) and the Dynamic Stiffness Method (DSM).
Duong The Hung +3 more
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A nonlocal eigenvalue problem and the stability of spikes for reaction-diffusion systems with fractional reaction rates [PDF]
, 2003 We consider a nonlocal eigenvalue problem which arises in the study of stability of spike solutions for reaction-diffusion systems with fractional reaction rates such as the Sel'kov model, the Gray-Scott system, the hypercycle Eigen and Schuster ...
Winter, M +3 more
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Ritz Method Application to Bending, Buckling and Vibration Analyses of Timoshenko Beams via Nonlocal Elasticity [PDF]
Journal of Applied and Computational Mechanics, 2018 Bending, buckling and vibration behaviors of nonlocal Timoshenko beams are investigated in this research using a variational approach. At first, the governing equations of the nonlocal Timoshenko beams are obtained, and then the weak form of these ...
Seyyed Amir Mahdi Ghannadpour
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Nonlocal problems with Neumann boundary conditions [PDF]
, 2017 We introduce a new Neumann problem for the fractional Laplacian arising from a simple probabilistic consideration, and we discuss the basic properties of this model. We can consider both elliptic and parabolic equations in any domain.
Ros-Oton, Xavier +8 more
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Frequency spectra of nonlocal Timoshenko beams and an effective method of determining nonlocal effect [PDF]
, 2017 Three critical frequencies independent of boundary conditions together with a critical length, which determine the vibration behaviors of a nonlocal Timoshenko beam, are identified.
张吟 +1 more
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STATIONARY PROBLEMS WITH NONLOCAL BOUNDARY CONDITIONS
Mathematical Modelling and Analysis, 2001 In this article a stationary problems with general nonlocal boundary conditions is considered. The differential problems and finite difference schemes for solving this problem are investigated. Stability estimates are proved in the maximum norm and the non‐negativity of the solution is investigated.
Čiegis, R. +3 more
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Fast computation of the nonlocal boundary condition in finite difference parabolic equation radiowave propagation simulations [PDF]
, 2008 Finite difference parabolic equation method (FD-PEM) codes using a nonlocal boundary condition to model radiowave propagation over electrically large domains, require the computation of time consuming spatial convolution integrals. For the first time, we
Mias, Christos
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