An interpolating element-free Galerkin scaled boundary method applied to structural dynamic analysis |
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| Institution: | 1. Departamento de Matemáticas, Estadística e Investigación Operativa, Universidad de La Laguna, La Laguna 38271, Spain;2. Department of Statistics, Imam Khomeini International University, Qazvin, Iran;3. Department of Statistics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran;1. Laboratory of Computational Sciences and Mathematical Physics, Institute for Mathematical Research, Universiti Putra Malaysia, Serdang, Selangor 43400, Malaysia;2. Mathematics Department, Faculty of Science, Universiti Putra Malaysia, Serdang, Selangor 43400, Malaysia;3. Faculty of Science and Technology, Universiti Sains Islam Malaysia, Negeri Sembilan 71800, Malaysia;4. Fakulti Teknologi Kejuruteraan Mekanikal dan Pembuatan, Universiti Teknikal Malaysia Melaka, Hang Tuah Jaya, Durian Tunggal, Melaka 76100, Malaysia;1. Department of Aerospace Engineering and Engineering Mechanics, University of Cincinnati, Cincinnati, OH, 45219, USA;2. Department of Geotechnical Engineering, College of Civil Engineering, Tongji University, Shanghai 200092, China |
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| Abstract: | An efficient semi-analytical method, namely the interpolating element-free Galerkin scaled boundary method (IEFG-SBM) is developed for structural dynamic analysis in this paper, which is based on boundary scattered nodes with no need of element connectivity. Since the shape functions of the improved interpolating moving least-squares (IIMLS) method satisfy the delta function property, the essential boundary conditions, as a result, can be enforced accurately without any additional efforts. Based on the improved continued fraction, the dynamic properties of a bounded domain are expressed by the high order static stiffness and mass matrices. This continued fraction solution is computationally more robust and the transient response can be obtained directly in the time domain using standard procedures in structural dynamics. It is testified from the computational results that the present method for structural dynamic analysis is quite easy to be implemented with high accuracy. |
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