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基于分形理論的結(jié)合面靜摩擦因數(shù)改進(jìn)模型
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國家自然科學(xué)基金資助項目(50775153);山西省回國留學(xué)人員科研資助項目(2011—076)


Modified Model of Static Friction Coefficient of Joint Interfaces Based on Fractal Theory
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    摘要:

    從理論上提出了一種基于分形理論的結(jié)合面靜摩擦因數(shù)改進(jìn)模型，表示出結(jié)合面靜摩擦因數(shù)與無量綱法向總載荷之間非線性隱函數(shù)關(guān)系,。仿真結(jié)果表明，靜摩擦因數(shù)f隨著法向總載荷P*和材料特性參數(shù)φ的增加而增加,，隨分形特征尺度參數(shù)G*的增加而減小，靜摩擦因數(shù)f與法向總載荷P*呈微凸弧非線性關(guān)系,；分形維數(shù)D在1.1~1.4范圍內(nèi),，靜摩擦因數(shù)f隨著D的增加而增加，在1.5~1.9范圍內(nèi),，靜摩擦因數(shù)f隨著D的增加而減?。谎芯勘砻髟撃Ｐ涂梢杂糜谶M(jìn)行結(jié)合面靜摩擦因數(shù)的預(yù)測,。

    Abstract:

    A modified fractal model of static friction coefficient of joint interfaces based on normal load model and modified size distribution is proposed. Furthermore, numerical simulation was carried out to obtain the complicated nonlinear relations. The results showed that the static friction coefficient versus the micro convex nonlinear relation with the normal load and increased with the normal load and material property increase, decreased with fractal characteristic length scale parameter G*, but complicatedly with D. This is explained that the modified model could be used to analyze and predict static friction coefficient.

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蘭國生,張學(xué)良,丁紅欽,溫淑花,張宗陽,盧青波.基于分形理論的結(jié)合面靜摩擦因數(shù)改進(jìn)模型[J].農(nóng)業(yè)機(jī)械學(xué)報,2012,43(1):213-218. Lan Guosheng, Zhang Xueliang, Ding Hongqin, Wen Shuhua, Zhang Zongyang, Lu Qingb. Modified Model of Static Friction Coefficient of Joint Interfaces Based on Fractal Theory[J]. Transactions of the Chinese Society for Agricultural Machinery,2012,43(1):213-218.

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  • 在線發(fā)布日期: 2012-01-12
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