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1、第53卷第9期機(jī)械工程學(xué)報(bào)Vol.53No.92017年5月JOURNALOFMECHANICALENGINEERINGMay2017DOI：10.3901/JME.2017.09.073*機(jī)械結(jié)合面法向接觸剛度和阻尼的理論模型傅衛(wèi)平婁雷亭高志強(qiáng)王雯吳潔蓓(西安理工大學(xué)機(jī)械與精密儀器工程學(xué)院西安710048)摘要：基于統(tǒng)計(jì)接觸理論和等效粗糙接觸表面假設(shè)，考慮微凸體在加卸載及動(dòng)態(tài)載荷下的變形特征，建立了結(jié)合面法向靜、動(dòng)態(tài)接觸模型，獲得了單位面積法向靜、動(dòng)態(tài)接觸剛度與接觸阻尼(基礎(chǔ)特性參數(shù))?；贙adin和Etsion的粗糙表面彈塑性卸載接觸模型
2、，通過(guò)引入微凸體卸載過(guò)程中殘余變形與最大變形量及最大接觸載荷之間的函數(shù)關(guān)系，建立靜態(tài)加卸載接觸模型。針對(duì)結(jié)合面間簡(jiǎn)諧動(dòng)態(tài)相對(duì)位移，利用泰勒公式對(duì)靜態(tài)接觸載荷和接觸剛度進(jìn)行展開(kāi)，得出了動(dòng)態(tài)接觸載荷、接觸剛度的增量以及動(dòng)態(tài)接觸載荷下的能量損耗，建立了法向動(dòng)態(tài)接觸剛度和接觸阻尼的計(jì)算模型。分析了結(jié)合面面壓、動(dòng)態(tài)位移幅值及振動(dòng)頻率對(duì)動(dòng)態(tài)接觸剛度和接觸阻尼的影響規(guī)律，研究表明：法向動(dòng)態(tài)接觸剛度相對(duì)靜態(tài)接觸剛度有微小偏移增量，動(dòng)態(tài)接觸剛度增量和接觸阻尼隨法向面壓及動(dòng)態(tài)位移幅值的增大而非線性增大，動(dòng)態(tài)接觸剛度增量隨振動(dòng)頻率增加呈非線性增大，而接觸阻尼則隨振動(dòng)
3、頻率增加呈非線性減小。通過(guò)理論計(jì)算與試驗(yàn)結(jié)果的對(duì)比分析，證明了本文建立的結(jié)合面法向靜、動(dòng)態(tài)接觸剛度及接觸阻尼理論模型的正確性。關(guān)鍵詞：結(jié)合面；微凸體；加卸載；接觸剛度；接觸阻尼中圖分類(lèi)號(hào)：TG156TheoreticalModelfortheContactStiffnessandDampingofMechanicalJointSurfaceFUWeipingLOULeitingGAOZhiqiangWANGWenWUJiebei(SchoolofMechanicalandPrecisionInstrumentEngineering,Xi’anU
4、niversityofTechnology,Xi’an710048)Abstract：Basedonthestatisticalcontacttheoryandtheassumptionofequivalentjointsurface,andtheasperitydeformationcharacteristicsareconsideredundertheloading,theunloadingandthedynamicloading.Then,thestaticanddynamiccontactmodelcanbeestablished,an
5、dthebasiccharacteristicparametercanbeobtained,whichincludethestaticanddynamiccontactstiffnessandcontactdampingintheunitarea.Firstly,basedontheKadin’sandEtsion’sunloadingmodelofroughsurfacesinelasticplasticstage,therelationshipofresidualdeformationandmaximumdeformationandmaxi
6、mumcontactloadisintroduced.Thenthestaticloadingandunloadingcontactmodelcanbecreated.Secondly,aimedatthedynamicharmonicdisplacementbetweencontactsurfaces,thestaticcontactloadandcontactstiffnessareexpandedbyusingTaylor'sformula.Thedynamicload,thecontactstiffnessincrementandthe
7、energydissipationinthedynamicloadingcanbeobtained.Thenthemodelofdynamiccontactstiffnessanddampingisbuilt.Thirdly,influencesofthecombinedsurfacepressure,dynamicdisplacementamplitudeandvibrationfrequencyonthedynamiccontactstiffnessandcontactdampingareanalyzed.Theresearchshowst
8、hatthenormaldynamiccontactstiffnessisslightlyoffsetcomparedwiththestaticcon
