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Structural Engineering and Mechanics Volume 40, Number 2, October25 2011 , pages 245-256 DOI: https://doi.org/10.12989/sem.2011.40.2.245 |
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Correction of node mapping distortions using universal serendipity elements in dynamical problems |
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Semih Kucukarslan and Ali Demir
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| Abstract | ||
| In this paper, the use of universal serendipity elements (USE) to eliminate node mapping distortions for dynamic problem is presented. Rectangular shaped elements for USE are being introduced by using a flexible master element with an adjustable edge node location. The shape functions of the universal serendipity formulation are used to derive the mass and damping matrices for the dynamic analyses. These matrices eliminate the node mapping distortion errors that occurs incase of the standard shape function formulations. The verification of new formulation will be tested and the errors encountered in the standard formulation will be studied for a dynamically loaded deep cantilever. | ||
| Key Words | ||
| finite element method; universal serendipity element (USE); node mapping distortion; dynamic analysis | ||
| Address | ||
| Semih Kucukarslan: 1Department of Civil Engineering, stanbul Technical University, Maslak, stanbul, Turkey Ali Demir: Department of Civil Engineering, Celal Bayar University, Manisa, Turkey | ||