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Structural Engineering and Mechanics Volume 38, Number 6, June25 2011 , pages 733-751 DOI: https://doi.org/10.12989/sem.2011.38.6.733 |
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The construction of multivariable Reissner-Mindlin plate elements based on B-spline wavelet on the interval |
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Xingwu Zhang, Xuefeng Chen and Zhengjia He
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| Abstract | ||
| In the present study, a new kind of multivariable Reissner-Mindlin plate elements with two kinds of variables based on B-spline wavelet on the interval (BSWI) is constructed to solve the static and vibration problems of a square Reissner-Mindlin plate, a skew Reissner-Mindlin plate, and a Reissner-Mindlin plate on an elastic foundation. Based on generalized variational principle, finite element formulations are derived from generalized potential energy functional. The two-dimensional tensor product BSWI is employed to form the shape functions and construct multivariable BSWI elements. The multivariable wavelet finite element method proposed here can improve the solving accuracy apparently because generalized stress and strain are interpolated separately. In addition, compared with commonly used Daubechies wavelet finite element method, BSWI has explicit expression and a very good approximation property which guarantee the satisfying results. The efficiency of the proposed multivariable Reissner-Mindlin plate elements are verified through some numerical examples in the end. | ||
| Key Words | ||
| multivariable; B-spline wavelet on the interval; Reissner-Mindlin plate; static analysis; vibration analysis | ||
| Address | ||
| Xingwu Zhang, Xuefeng Chen and Zhengjia He: State Key Laboratory for Manufacturing System Engineering, School of Mechanical Engineering, Xi\'an Jiaotong University, Xi\'an 710049, PR China | ||