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結(jié)合面切向接觸等效黏性阻尼分形模型

發(fā)布時間:2019-01-26 12:31
【摘要】:基于MB接觸分形理論、結(jié)合面切向接觸阻尼耗能機理以及阻尼損耗因子的定義,建立了結(jié)合面切向接觸等效黏性阻尼的分形模型及其損耗因子模型。所建模型表明,結(jié)合面切向接觸等效黏性阻尼與結(jié)合面法向接觸載荷、摩擦系數(shù)、材料塑性指數(shù)、結(jié)合面上的切向動態(tài)載荷幅值與法向接觸載荷之比(簡稱切法向載荷比)、結(jié)合面分形維數(shù)以及分形粗糙度參數(shù)之間具有復(fù)雜的非線性關(guān)系,而結(jié)合面切向接觸阻尼損耗因子與結(jié)合面分形維數(shù)和分形粗糙度參數(shù)無關(guān),僅與切法向載荷比和摩擦系數(shù)有關(guān)。模型的仿真結(jié)果表明,結(jié)合面切向接觸阻尼損耗因子隨著切法向載荷比的增大而增大,隨結(jié)合面摩擦系數(shù)的增大而減小;結(jié)合面切向接觸等效黏性阻尼隨著結(jié)合面法向接觸載荷、摩擦系數(shù)、材料塑性指數(shù)的增大而增大,隨著結(jié)合面分形粗糙度的增大而減小;結(jié)合面切向接觸等效黏性阻尼隨結(jié)合面分形維數(shù)的變化規(guī)律較為復(fù)雜,先隨著分形維數(shù)的增大而增大,在分形維數(shù)值1.65附近出現(xiàn)最大值,而后隨著分形維數(shù)的增大而減小。
[Abstract]:Based on the MB contact fractal theory, the fractal model and the loss factor model of tangential contact equivalent viscous damping are established by combining the energy dissipation mechanism of tangential contact and the definition of damping loss factor. The model shows that the equivalent viscous damping of tangential contact and the normal contact load, friction coefficient, material plasticity index and the ratio of the amplitude of tangential dynamic load to the normal contact load (tangential load ratio) are obtained. There is a complex nonlinear relationship between fractal dimension and fractal roughness parameter, but the tangential contact damping loss factor is independent of fractal dimension and roughness parameter. It is only related to tangential load ratio and friction coefficient. The simulation results show that the tangential contact damping loss factor increases with the increase of tangential load ratio and decreases with the increase of friction coefficient. The equivalent viscous damping of tangential contact increases with the increase of normal contact load, friction coefficient, plastic index of the material, and decreases with the increase of fractal roughness of the bonding surface. The law of the equivalent viscosity damping of tangential contact is more complex. Firstly, it increases with the increase of fractal dimension, then decreases with the increase of fractal dimension, and then decreases with the increase of fractal dimension.
【作者單位】: 太原科技大學(xué)機械工程學(xué)院;
【基金】:國家自然科學(xué)基金資助項目(51275328) 山西省自然科學(xué)基金資助項目(201601D011062)
【分類號】:O343.3

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