摘要
研究杆件系统的梁单元刚度矩阵的构造。以五阶多项式构造位移函数,并以此推导出六阶梁单元刚度矩阵,与常规的四阶梁单元刚度矩阵相比,能更精确地描述单元的变形,但运算量却增加不多。最后讨论了以大于五阶的多项式构造位移函数,从而推导更高阶的单元刚度。经比较后认为,高阶刚度矩阵不宜用于实际计算。
A five-order polynomial was used to assume displacement function and then a six-order beam element stiffness matrix was derived.Comparing with conventional four-order one,this matrix can depict the element's deformation with higher precision and lower rising of working.Intending to get more precision, it was also discussed applying more-than-five-order polynomial to assume displacement function,but the conclusion is that the matrix derived from such function is not suitable for computing.
出处
《工业建筑》
CSCD
北大核心
2006年第z1期381-383,394,共4页
Industrial Construction
关键词
高阶多项式
有限元
刚度矩阵
high-order polynomial finite element stiffness matrix
