Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Eine Plattform für die Wissenschaft: Bauingenieurwesen, Architektur und Urbanistik
Isogeometric-Meshfree Coupled Analysis of Kirchhoff Plates
An isogeometric-meshfree coupled analysis is presented for Kirchhoff plates. This approach rationally couples the isogeometric basis functions and the meshfree shape functions under the consistency condition, which makes the present method capable of unifying the exact geometry and flexible model refinement properties simultaneously. Moreover, higher order smoothing approximation can be readily constructed in a straightforward way which is very desirable for the Galerkin analysis of Kirchhoff plate problems that necessitates a C1 approximation. Particular attention is placed on the coupling of cubic isogeometric and meshfree approximations which are frequently used for the numerical solutions of Kirchhoff plates. The cubic consistency for the coupled approximation is studied in detail. Subsequently the coupled approximation is introduced to the plate weak form to obtain the coupled discrete equations in which both static and free vibration formulations are considered. The efficacy of the proposed method is demonstrated through a set of benchmark examples in which the deflectional convergence for static analysis and the frequency convergence for free vibration analysis are measured. The results show that optimal convergence behaviors for Kirchhoff plate problems can be uniformly achieved by the proposed method.
Isogeometric-Meshfree Coupled Analysis of Kirchhoff Plates
An isogeometric-meshfree coupled analysis is presented for Kirchhoff plates. This approach rationally couples the isogeometric basis functions and the meshfree shape functions under the consistency condition, which makes the present method capable of unifying the exact geometry and flexible model refinement properties simultaneously. Moreover, higher order smoothing approximation can be readily constructed in a straightforward way which is very desirable for the Galerkin analysis of Kirchhoff plate problems that necessitates a C1 approximation. Particular attention is placed on the coupling of cubic isogeometric and meshfree approximations which are frequently used for the numerical solutions of Kirchhoff plates. The cubic consistency for the coupled approximation is studied in detail. Subsequently the coupled approximation is introduced to the plate weak form to obtain the coupled discrete equations in which both static and free vibration formulations are considered. The efficacy of the proposed method is demonstrated through a set of benchmark examples in which the deflectional convergence for static analysis and the frequency convergence for free vibration analysis are measured. The results show that optimal convergence behaviors for Kirchhoff plate problems can be uniformly achieved by the proposed method.
Isogeometric-Meshfree Coupled Analysis of Kirchhoff Plates
Zhang, Hanjie (Autor:in) / Wang, Dongdong (Autor:in) / Liu, Wei (Autor:in)
Advances in Structural Engineering ; 17 ; 1159-1176
01.08.2014
18 pages
Aufsatz (Zeitschrift)
Elektronische Ressource
Englisch
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