Moving least‐squares approximation with discontinuous derivative basis functions for shell structures with slope discontinuities |
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| Authors: | Zhiqian Zhang Hirohisa Noguchi Jiun‐Shyan Chen |
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| Affiliation: | 1. Faculty of Science and Technology, Keio University, 3‐14‐1 Hiyoshi, Kohoku‐ku, Yokohama 223‐8522, Japan;2. Department of System Design and Engineering, Keio University, 3‐14‐1 Hiyoshi, Kohoku‐ku, Yokohama 223‐8522, Japan;3. Department of Civil and Environmental Engineering, University of California, Los Angeles, CA 90095‐1593, U.S.A. |
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| Abstract: | Moving least‐squares approximation with discontinuous derivative basis functions (MLSA‐DBF) is introduced for analysis of shell structures with slope discontinuities. To deal with shells with arbitrary slope discontinuities, the Cartesian coordinate is introduced in the construction of MLSA on the shell surface. The possible causes of singularity in the moment matrix of MLSA on the shell surface with slope discontinuities are identified, and the Moore–Penrose pseudoinverse is used to obtain the generalized inverse of the singular moment matrix resulting from linear dependency and insufficient influence nodes in the MLSA. Following the proposed formulations for shear deformable shell structures with slope discontinuities in the Cartesian coordinates, several numerical examples are analyzed to demonstrate the performance, validity, accuracy, and convergence properties of the proposed MLSA‐DBF approach. Copyright © 2007 John Wiley & Sons, Ltd. |
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| Keywords: | meshfree moving least‐squares approximation discontinuous derivative basis function shell slope discontinuity |
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