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Structural Engineering and Mechanics Volume 25, Number 5, March30 2007 , pages 613-629 DOI: https://doi.org/10.12989/sem.2007.25.5.613 |
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Static and vibration analysis of thin plates by using finite element method of B-spline wavelet on the interval |
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Jiawei Xiang, Zhengjia He, Yumin He and Xuefeng Chen
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| Abstract | ||
| A finite element method (FEM) of B-spline wavelet on the interval (BSWI) is used in this paper to solve the static and vibration problems of thin plate. Instead of traditional polynomial interpolation, the scaling functions of two-dimensional tensor product BSWI are employed to construct the transverse displacements field. The method combines the accuracy of B-spline functions approximation and various basis functions for structural analysis. Some numerical examples are studied to demonstrate the proposed method and the numerical results presented are in good agreement with the solutions of other methods. | ||
| Key Words | ||
| B-spline wavelet on the interval; finite element method; thin plate analysis; modal analysis. | ||
| Address | ||
| Jiawei Xiang; School of Mechantronic Engineering, Guilin University of Electronic Technology, Guilin 541004, P.R. China Zhengjia He, Yumin He and Xuefeng Chen; School of Mechanical Engineering, Xi\'an Jiaotong University, Xi\'an 710049, P.R. China | ||