华南理工大学学报（自然科学版）
華南理工大學學報（自然科學版）
화남리공대학학보（자연과학판）
Journal of South China University of Technology (Natural Science Edition)
2015年
9期
128-134,148
,共8页
耦合振动%行星齿轮%子结构方法%动态响应
耦閤振動%行星齒輪%子結構方法%動態響應
우합진동%행성치륜%자결구방법%동태향응
coupled vibration%planetary gear%substructure method%dynamic response
为获得准确的行星齿轮传动系统动态响应进行精确产品设计，文中建立了耦合箱体振动的2K-H 行星传动系统动力学模型。将整个行星传动系统分为传动部分与箱体结构两部分，对传动部分采用集中质量模型而对箱体结构采用有限元法建模，然后根据子结构方法将箱体模型转换到轴承支撑的连接节点，并与传动部分通过界面协调条件进行耦合。文中还引入了时变的啮合刚度、综合啮合误差激励，从而获得了一个时变的、多自由度耦合行星齿轮传动系统动力学模型。耦合箱体前、后的系统动力学分析结果表明：箱体结构的耦合作用使行星传动系统的啮合力与支承力均有较大程度的降低；在系统参数不变的情况下，输入转速变化使啮合力和支承力呈不同趋势变化；有必要进行精确的动力学建模与分析，以实现优化的传动系统轻量化和可靠性设计。
為穫得準確的行星齒輪傳動繫統動態響應進行精確產品設計，文中建立瞭耦閤箱體振動的2K-H 行星傳動繫統動力學模型。將整箇行星傳動繫統分為傳動部分與箱體結構兩部分，對傳動部分採用集中質量模型而對箱體結構採用有限元法建模，然後根據子結構方法將箱體模型轉換到軸承支撐的連接節點，併與傳動部分通過界麵協調條件進行耦閤。文中還引入瞭時變的齧閤剛度、綜閤齧閤誤差激勵，從而穫得瞭一箇時變的、多自由度耦閤行星齒輪傳動繫統動力學模型。耦閤箱體前、後的繫統動力學分析結果錶明：箱體結構的耦閤作用使行星傳動繫統的齧閤力與支承力均有較大程度的降低；在繫統參數不變的情況下，輸入轉速變化使齧閤力和支承力呈不同趨勢變化；有必要進行精確的動力學建模與分析，以實現優化的傳動繫統輕量化和可靠性設計。
위획득준학적행성치륜전동계통동태향응진행정학산품설계，문중건립료우합상체진동적2K-H 행성전동계통동역학모형。장정개행성전동계통분위전동부분여상체결구량부분，대전동부분채용집중질량모형이대상체결구채용유한원법건모，연후근거자결구방법장상체모형전환도축승지탱적련접절점，병여전동부분통과계면협조조건진행우합。문중환인입료시변적교합강도、종합교합오차격려，종이획득료일개시변적、다자유도우합행성치륜전동계통동역학모형。우합상체전、후적계통동역학분석결과표명：상체결구적우합작용사행성전동계통적교합력여지승력균유교대정도적강저；재계통삼수불변적정황하，수입전속변화사교합력화지승력정불동추세변화；유필요진행정학적동역학건모여분석，이실현우화적전동계통경양화화가고성설계。
In order to obtain accurate dynamic response analysis of planetary gear transmission systems,an accurate product design should be performed.In this paper,a dynamic model of 2K-H planetary gear transmission (PGT) system coupled with gearbox vibrations is constructed,in which the whole system is divided into the transmission part and the gearbox structure,and the modeling of the transmission part and the gearbox structure are conducted respectively by means of the lumped mass method and the finite element method.Then,the gearbox model is trans-formed into the joint nodes of bearing supports through the substructure method and is coupled with the transmission system under the interface coordination condition.Moreover,the time-varying mesh stiffness and the mesh error are also taken into account,and thus a time-varying multi-degree-of-freedom-coupled dynamic model of planetary gear transmission system is constructed.The system dynamics analysis results before and after coupling gearbox show that (1)the coupling of gearbox reduces the meshing forces and supporting forces of planetary gear transmission system markedly;(2)the change of rotor speeds causes the meshing forces and the supporting forces to change in different directions when other system parameters are invariant;and (3)in order to achieve the light weight design and reliability design of the optimized transmission system,it is necessary to finish accurate dynamic modeling and analysis.
