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Computational Efficiency of Meshfree Methods with Local-Coordinates Algorithm
Wei Xuan Chan,손흥선,윤용진 한국정밀공학회 2015 International Journal of Precision Engineering and Vol. No.
In this study, meshfree methods with uniform nodal distribution and local-coordinates shape functions are investigated. The proposedmeshfree method can be used with various shape functions and is tested on a test patch with a Laplace governing equation and bothessential and Neumann boundary conditions. It is shown to reduce the computational time dependency on the number of nodes by36%. This reduction of dependency is significant as it reduces the computational time by several orders for analysis of problemsrequiring very fine nodal distribution. The meshfree method with uniform nodal distribution and local coordinates shape functionreduces and converges to the perfectly uniform nodal distribution with finer nodal distributions. The technique is illustrated on arectangular Kirchhoff-Love plate to show the practical use of the technique for allowing higher order shape function and finer nodaldistribution to be used with multiple overlapping boundary conditions as well as on an electromagnetic problem to explain the usesof this technique on solving multiple similar problem cases with slight changes in geometry of boundary nodes. Overall, the presentmethodology provides a simple way to increase the computational efficiency of meshfree methods in range of an order while retainingmany of its benefits.
가우시안 프로세스 회귀를 이용한 비선형 시스템 파라미터 식별
이상헌(Sangheon Lee),손흥선(Hungsun Son) 대한기계학회 2020 대한기계학회 춘추학술대회 Vol.2020 No.12
Nonlinear system parameters are necessary to be identified for developing control laws. However, nonlinearities of the system and measurement noises make difficulties for the system identification. To mitigate the mentioned issues, Gaussian process regression is mathematically derived for the identification purpose. In addition, to verify the method, three kinds of nonlinear systems are identified by the proposed method using numerical simulation data. Finally, the parameters of each system are estimated by the proposed method and the results show great identification performance in spite of nonlinearities and measurement noises.