Please use this identifier to cite or link to this item: http://hdl.handle.net/11455/1967
標題: 以Fractal模擬之粗糙面與平板間之實際接觸面積及負荷之分析
Analysis of Real Contact Area and Contact Loading between a Fractal Rough Surface and a Flat Plane
作者: 史展宏
Shyy, Jaan Horng
關鍵字: Fractal;破碎;Roughness;Loading;粗糙度;負荷
出版社: 機械工程學系
摘要: 
本文是以碎形幾何理論來模擬各種不同的粗糙表面及計算表面粗糙度,並
以這些不同的粗糙表面來做有關於粗糙面與平板受負荷之數值分析,並求
出實際接觸面積與負荷之關係.一般而言,針對粗糙表面之power spectra
來分析,可求得碎形幾何之各項參數D1,A1與Wc,並可模擬出各種粗糙度之
表面.就所模擬之粗糙面,應用荷茲理論,判定接觸尖點之接觸狀況是否為
彈性,彈性-塑性或塑性變形後,計算其實際接觸面積與接觸負荷.數值分析
的結果顯示:(1)以碎形幾何理論可以模擬出實際的粗糙表面,且符合粗糙
表面所應具備得隨機過程.(2)針對碎形幾合理論中之參數固定而只對D1值
來做變化,將可模擬出各種不同的加工表面.(3)粗糙表面受負荷後,較快達
到塑性變形,其實際接觸面積較大.(4)各種粗糙面,其實際接觸壓力可是為
定值,而粗糙度越大則實際接觸壓力也越大.

In the present paper, the topography of rough surface is
simulated by using thefractal geometry. The mathematically
created rough surface is brought in contact with a flat surface
under a normal loading. the relationship of real contact area
versus the contact loading was then investigated.In general, the
governing parameters of the fractal geometry,i.e., D1,A1 and
Wcare obained from the power spectrum of the rough surface being
simulated. Thereal contact area and contact loading are
calculated by virtue of the Hertziantheory. The criterion for
the contact asperity being elastic or plastic is provided.It is
found that the height distribution of the rough surface created
by thefractal geometry has a random nature which satisfiesthe
normal distribution. Variation in the parameter D1 is the
primary role to simulate the rough surface. Due to plastic
deformation, the rough surface creates rapidly the conatct area
under loading. Constant real contact pressure, which is larger
fora rough surface, is obained for every contact surfaces.
URI: http://hdl.handle.net/11455/1967
Appears in Collections:機械工程學系所

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