摘要
文章基于概率论和误差理论,提出了一种新的权函数——正态权函数(Normal weight function),从理论和实践上证明了它的实用、可行性。通过一维杆和二维梁实例,把正态权函数与现有流行的权函数进行比较,说明它是一种受影响域半径变化的影响较小、高效实用的权函数。最后给出了正态权函数影响域半径的确定规则。
How to determine the radius of the influence domain reasonably and exactly and which type of weight function is suitable to numerical calculation are the two difficult problems in the research on meshless methods. This paper presents a new weight function, named the normal weight function, which is based on the probability theory and the error theory. Its feasibility is proved theoretically. The numerical simulation results of a one-dimensional bar and a two-dimensional beam show that the normal weight function possesses good properties for meshless calculation, such as high accuracy and good stability. The rules for determining the radius of the influence domain for the normal weight function are discussed.
出处
《合肥工业大学学报（自然科学版）》
CAS
CSCD
北大核心
2007年第11期1489-1493,共5页
Journal of Hefei University of Technology：Natural Science
关键词
无网格法
移动最小二乘法
权函数
影响域半径
正态权函数
meshless method
moving least-square method
weight function
radius of the influencedomain
normal weight function
