大连理工大学学报
大連理工大學學報
대련리공대학학보
Journal of Dalian University of Technology
2015年
5期
498-503
,共6页
船舶结构分析%Daubechies小波基%尺度函数%无网格法%二维弹性问题
船舶結構分析%Daubechies小波基%呎度函數%無網格法%二維彈性問題
선박결구분석%Daubechies소파기%척도함수%무망격법%이유탄성문제
ship structural analysis%Daubechies wavelet basis%scaling function%meshless method%2D elastic problem
提出一种新的应用Daubechies小波尺度函数来逼近船舶结构场函数的无网格分析方法。首先选用具有紧支性和正交性特征的 Daubechies 小波作为基函数，由小波尺度函数张量积的形式来构造船舶二维结构的近似表达，降低了问题求解的复杂度。然后运用增量法对构建的船舶二维结构Daubechies小波无网格场函数进行迭代求解。最后选取典型船舶二维结构进行算例分析，并把计算结果与有限元法(FEM)结果进行比较验证了所提方法的有效性。
提齣一種新的應用Daubechies小波呎度函數來逼近船舶結構場函數的無網格分析方法。首先選用具有緊支性和正交性特徵的 Daubechies 小波作為基函數，由小波呎度函數張量積的形式來構造船舶二維結構的近似錶達，降低瞭問題求解的複雜度。然後運用增量法對構建的船舶二維結構Daubechies小波無網格場函數進行迭代求解。最後選取典型船舶二維結構進行算例分析，併把計算結果與有限元法(FEM)結果進行比較驗證瞭所提方法的有效性。
제출일충신적응용Daubechies소파척도함수래핍근선박결구장함수적무망격분석방법。수선선용구유긴지성화정교성특정적 Daubechies 소파작위기함수，유소파척도함수장량적적형식래구조선박이유결구적근사표체，강저료문제구해적복잡도。연후운용증량법대구건적선박이유결구Daubechies소파무망격장함수진행질대구해。최후선취전형선박이유결구진행산례분석，병파계산결과여유한원법(FEM)결과진행비교험증료소제방법적유효성。
A new meshless analysis method is proposed using Daubechies wavelet scaling function to approximate the field function of ship structure.Firstly,Daubechies wavelet with compact support and orthogonality feature is chosen as the basis function,and using the wavelet scaling function with the tensor product form, the approximate expression of the two-dimensional ship structure is constructed and the complexity of solving problem is reduced.And then,by the incremental method, the field function of the two-dimensional ship structure is solved iteratively with the meshless field function of Daubechies wavelet.Finally,typical examples of ship structures are selected,and the calculation results are compared with those of the finite element method (FEM)to verify the validity of the proposed method.
