滑動粗糙表面接觸溫度之分析研究

元件表面均有高低不等之粗糙波?與波谷。當元件進行相對運動時，由微觀角度視之，粗度波?(peak of asperity)磨擦造成接觸區溫度上升。而粗度波谷(valley of asperity)則因遠離主接觸點而溫度較低。此波?與波谷的溫度、應力及應變對微機電系統元件(MEMS device)與生醫系統物理化學反應或材料失效有重大的影響。本研究利用有限元素法建立上物件滑動之多重波?粗糙面於不同壓力、粗糙度、滑動速度及熱傳導係數，探討波?接觸溫度、溫升參數差值、應力與應變。並建立無因次群組成之預測方程式，以利於工程上之使用。由數值分析顯示：(一)最大溫升參數發生在多重波?中之中央波?，藉由迴歸分析，可以得到不同Pe下之預測公式，其誤差均小於8 %。最大溫升參數在壓力、滑動速度越大及熱傳導係數越小有明顯增加趨勢，但在粗糙度越大時則最大溫度僅略微增加。 (二)最大與最小溫升參數差值：因壓力負載、滑動速度、粗糙度增加或熱傳係數下降而有增加趨勢。藉由多元線性迴歸分析，在不同培克萊特數下，分別得到的預測公式誤差均小於5 %。由迴歸分析結果中顯示速度與熱傳導係數對於溫升參數差值有重要的影響。 (三)應力與應變：當多重粗糙波?承受壓力進行滑動過程時，最大等效應力與最大等效應變發生在中央波?，且位於粗糙波?接觸與非接觸的交界處。隨著施加壓力越大而越大。此研究多重粗糙波?分析結果，以提供微機電系統元件及生化系統元件設計製造應用上有所助益。

關鍵字

滑動接觸；接觸溫度；多波?粗糙表面；真實接觸面積

並列摘要

Peaks and valleys exist on a rough surface of an element. Temperature of a contact area between two elements may increase due to friction of peaks of asperity. To the contrary, valleys of asperity have a lower temperature due to non-contact. Temperatures, strain and stress of peaks and valleys play a great role in MEMS devices, biomedical system, physical and chemical reactions, or material failure. The essay is directed to finite element analysis about objects sliding contact. Peak temperature, temperature increase parameters difference, strain and stress are analyzed in terms of asperity, sliding velocity and thermal conductivity when different loads are applied on a sliding object which is provided on a stationary object. Further, regression equations of non-power sub-group are created for engineering purposes. The following are obtained based on numerical analysis: Maximum temperature parameter occurs at a central peak of a series of peaks. Equations of different Pe can be obtained by regression analysis in which variance is less than 8%. The maximum temperature parameter significantly increases when pressure and sliding velocity increase and thermal conductivity is decreased. However, the maximum temperature parameter only increases slightly when asperity increases dramtically. Difference between maximum temperature parameter and minimum temperature parameter: The difference increases as load, sliding velocity and asperity increase and thermal conductivity decreases. The differences obtained by using multi-element linear regression analysis by regression equations with respect to different Pe are less than 5%. It is found that velocity and thermal conductivity play a great role in the difference between maximum temperature parameter and minimum temperature parameter. Strain and stress: Maximum equivalent strain and maximum equivalent stress occur at a central peak when a load is applied to a sliding object moving on a stationary object with multiple peaks of asperity formed between them. The central peak is a joining position of contact and non-contact areas of the peak of asperity. Also, maximum equivalent strain and maximum equivalent stress increase as load increases. The essay is concerned with multiple peak of asperity analysis which is beneficial to the design and manufacturing of elements of MEMS devices and biochemical systems.

並列關鍵字

sliding contact ； contact temperature ； multi-peaks ； asperity surface ； actual contact area

參考文獻

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[6] S. M. Kulkarni, C. A. Rubin, G. T. Hahn, “Elasto-Plastic Coupled Temperature-Displacement Finite Element Analysis of Two-Dimensional Rolling-Sliding Contact With a Translating Heat Source”, Journal of ASME J. Tribology, Vol.113, pp. 93–101, 1991.

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滑動粗糙表面接觸溫度之分析研究

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