摘要
通过多项式拟合法拟合出位移曲线,结合奇异函数的应用,解决了复杂结构模拟试验的等效加载问题。通过建立N维坐标系,将分别独立的两类元素(所选点的位置坐标和该点的位移(或力)建立联系;将两类已知量建立为N维数组,利用数据拟合的多项式拟合法将二类已知量拟合为位移近似函数形式,再利用力学知识的奇异函数表达法,推导出位移函数,进而求出数值解。
The displacement curve can be fitted by the polynomial fitting method,combining the use of singularity functions,questions of equivalent loads in complicated structure simulation tests are solved.In this article,The relations between the two kinds of elements（location coordinates and displacements（or loads） of the selected points）are established by building N-dimensional coordinate.And two kinds of known quantities are established in N-dimensional arrays,Approximate displacement functions are fitted by using the polynomial fitting method;Then using the singularity function expressions of mechanical knowledge,the displacement function can be deduced,afterwards the numerical solutions can be found out.
出处
《机械研究与应用》
2011年第2期41-44,共4页
Mechanical Research & Application
基金
铁道部计划项目(2008J007-C)
关键词
多项式拟合
奇异函数
位移
复杂结构
等效加载
polynomial fitting
singularity functions
displacement
complicated structure
equivalent loads
