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| Generalized finite difference method for solving Kirchhoff plate and Winkler plate bending problems |
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Abstract This paper presents the generalized finite difference method (GFDM) for solving Kirchhoff and Winkler plate bending problems. The GFDM is a domain-type meshless method based on the moving-least-squares theory. In comparison with the traditional mesh-based discretization methods, the GFDM is free of mesh generation and numerical integration. The numerical results show that the proposed GFDM can efficiently simulate Kirchhoff and Winkler plate bending problems under different types of transverse loading.
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Received: 05 August 2017
Published: 28 August 2018
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2018, Vol. 39 
