Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/1717
標題: 碎形模擬粗糙面在垂直負荷下之彈-塑性分析
Analysis of Elastic-Plastic Contact of the Fractal Simulated Rough Surfaces under Normal Load
作者: 黃憲裕
Hwang, Hsien-Yu
關鍵字: Fractal rough surface;碎形粗糙面;contact;elastic-plastic deformation;接觸;彈-塑性變形
出版社: 機械工程學系
摘要: 
本文乃利用碎形理論中的W-M碎形函數來模擬不同粗糙度的加工表面,再
透過赫茲接觸理論,分析剛性平板與一粗糙表面的接觸及兩粗糙面的接觸
,探討尖點彈性-塑性變形的狀態,及實際接觸面積與接觸負荷間之關係
。對於兩粗糙表面的接觸狀態,可將兩粗糙面視為一等效的粗糙面,而此
時的接觸狀態視為此等效粗糙面與剛性平板的接觸。個別粗糙面的高度分
佈均符合高斯分佈,但等效粗糙面的高度分佈一般並未符合高斯分佈。
對於此兩種接觸型態,數值模擬所得的結果如下:(1)實際接觸面積與接
觸負載,隨接觸壓陷率的增加而增加。某一接觸壓陷率下,粗糙度愈大,
其接觸尖點受到愈大的接觸負載,實際接觸面積亦較大。(2)實際接觸面
積與接觸負載間,存在一指數關係,即 ,且表面愈粗糙,n值愈近於一
。(3)實際平均接觸壓力隨接觸負載的增加,而迅速達到一定值。(4)對於
兩粗糙面的接觸而言,相對接觸位置對上述的結果並不影響。但其粗糙度
隨各接觸位置的相對表面配合率的不同而有所變化,即配合率愈大時,接
觸面愈密合,因而等效粗糙度降低,反之亦然。關鍵字:碎形粗糙面、接
觸、彈-塑性變形

In this paper , two contact cases , namely, a rough surface
against a flat plane and two rough surfaces brought into contact
, are investigated . The rough surface is simulated by the W-M
function derived from fractal theory . The elastic-plastic
deformation of the contact asperity and the relationship of
actual contact area versus the contact loading were analyzed
using Hertzian theory . The case of two simulated rough
surfaces brought into contact can be simplified into the
situation of a equivalent roug Some results from the numerical
analysis are listed below : (1) The actual contact area and the
contact loading increased as the approaching ratio increase .
For a given approaching ratio , the actual contact area and the
contact loading were higher when the roughness of the contact
surface was greater . (2) A power law relationship is proposed
in this paper , and the greater rough surface has its exponent n
closer to unity . (3) The mean actual contact pressure increases
rapidly to a stable value as tKeyword : Fractal rough surface、
contact、elastic-plastic deformation
URI: http://hdl.handle.net/11455/1717
Appears in Collections:機械工程學系所

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