在间隔(BS WI ) 上基于概括变化原则和 B 花键小浪,有为双曲面的壳和开的圆柱的壳的二种变量(TBS WI ) 的 multivariable BSWI 元素在这篇论文被构造。与传统的方法不同,现在的把概括排水量和压力当作独立变量。区别和集成因此在精明的概括应力被避免,因此,精确被改进。与通常使用的 Daubechies 小浪相比,而且, BSWI 有明确的表示和优秀近似性质和这样进一步的保证令人满意的结果。最后,构造 multivariable 壳元素的效率通过几个数字例子被验证。
Based on the generalized variational principle and B-spline wavelet on the interval (BSWI), the multivariable BSWI elements with two kinds of variables (TBSWI) for hyperboloidal shell and open cylindrical shell are constructed in this paper. Different from the traditional method, the present one treats the generalized displacement and stress as independent variables. So differentiation and integration are avoided in calculating generalized stress and thus the precision is improved. Furthermore, compared with commonly used Daubechies wavelet, BSWI has explicit expression and excellent approximation property and thus further guarantee satisfactory results. Finally, the efficiency of the constructed multivariable shell elements is validated through several numerical examples.