Solving time-dependent problems by an RBF-PS method with an optimal shape parameter

• Type: Article in International Conference Proceedings Book
• Date: 2009

Authors

neves, ama (Author) FEUP; roque, cmc (Author) FEUP; ferreira, ajm (Author) FEUP; soares, cmm (Author) Other; jorge, rmn (Author) FEUP

Conference proceedings International

Title: 7TH INTERNATIONAL CONFERENCE ON MODERN PRACTICE IN STRESS AND VIBRATION ANALYSIS

Final page: 012053

7th International Conference on Modern Practice in Stress and Vibration Analysis

Cambridge, ENGLAND, SEP 08-10, 2009

Indexing

ISI Web of Knowledge - 0 Citations

Scopus - 1 Citation

Scientific classification

FOS: Engineering and technology > Mechanical engineering

Other information

Authenticus ID: P-003-T0K

DOI: 10.1088/1742-6596/181/1/012053

Abstract (EN): An hybrid technique is used for the solutions of static and time-dependent problems. The idea is to combine the radial basis function (RBF) collocation method and the pseudospectal (PS) method getting to the RBF-PS method. The approach presented in this paper includes a shape parameter optimization and produces highly accurate results. Different examples of the procedure are presented and different radial basis functions are used. One and two-dimensional problems are considered with various boundary and initial conditions. We consider generic problems, but also results on beams and plates. The displacement and the stress analysis are conducted for static and transient dynamic situations. Results obtained are in good agreement with exact solutions or references considered.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 7