二类变量区间B样条小波有限元承重梁模型研究  

Load-bearing beam model on two kinds of variables finite element of B-spline wavelet on the interval

作　　者：王鹏[1] 许彬[2] 李梁[1] 王亮[1] 秦承鹏[1] 

机构地区：[1]西安热工研究院有限公司,陕西西安710032 [2]内蒙古上都发电有限责任公司,内蒙古锡林郭勒027200

出　　处：《热力发电》2014年第2期36-40,共5页Thermal Power Generation

摘　　要：结合区间B样条小波与二类变量有限元方法,利用区间B样条小波尺度函数作为插值函数构造单元,借助基函数系数与待求物理参数关系保证单元公共边的连续性。采用全域离散的方法构造一维二类变量区间B样条小波有限元承重梁模型,通过与经典算例的比较验证表明,所构造单元在变载荷和变截面等方面具有较高的求解精度和求解效率。The method combining B-spline wavelet on the interval （BSWI） with two kinds of varia- bles finite element theory was adopted. By selecting the scaling functions of BSWI as the con- struction unit of the interpolating functions of wavelet finite element method, the boundary conti- nuity was ensured, on the basis of relationship between the base function coefficients and the physical parameters need to be obtained. The one-dimensional two kinds of variables BSWI load- bearing beam model was established via the whole discrete domain method. Comparison between the modelling results and that of the classic computation examples verifies that, the constructed model has high solving accuracy and efficiency in variable cross-section and loading cases.

关 键 词：区间B样条小波 二类变量 有限元 承重梁 弯曲 振动 

分 类 号：TH113.1[机械工程—机械设计及理论]