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| Euler-Bernoulli beam formulation using multiwavelets based on the quintic Hermie spline function on the interval |
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Abstract The quintic Hermie spline function on the interval was adopted to formulate multiwavlets scaling functions for the boundary and the middle nodes of a three-node beam respectively. Then, based on the wavelet multiresolution concept, the multiresolution function bases for the approximate spaces of the element displacement were erected. After that, the principle of minimum potential energy was used to establish the beam equilibrium equations, thus a beam element was formulated using multiwavelets based on the quintic Hermie spline function on the interval. The practical example result shows that the accuracy of the element could be automatically adjusted by changing scaling level or grid partitioning, and be the same as the traditional beam element with the equivalent grid. Compared with other wavelet beam elements, this element possesses such advantages as to be more compact clearly, more definite physically and easier to understand.
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Received: 06 January 2012
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2013, Vol. 34 
