齿轮系统动力学刚体模型.pptx

1.齿轮模型发展历史Nowadays,reference models available take the peculiarity into account global dynamic phenomena as torsion,flexural and axial vibrations,allowing to obtain both transitory and operating responses,also if different typologies of engaging errors are considered.Aim of the present work is to set up a combined multibody/FEM numerical technique,on the basis of a commercial code,in order to simulate the engaging phenomenon in aerospace gears,whose peculiarity is a high flexibility of the body gear with respect teeth ring第1页/共12页The last one is probably the best way to analyze the gear dynamics,but the computational effort required is very high,so in the present paper,the RFLEX approachs implemented.All the flexibility features of bodies are derived using FE approach.第2页/共12页Full Rigid Model(FRM)（1）the RecurdynToolkit Gear（2）the stiffness value of the teeth is computed using an analytical approach based on the Hertzian formulation or FEA 2.1 直齿轮刚体动力学模型第3页/共12页Flex Teeth Model(FTM)（1）a Bushing Force element sets the stiffness values of the three torsional springs that link the tooth.（2）the QFBGeartool of Recurdyn（3）the tooth compliance parameter in the Bushing Forces is computed imposing a torque to a gear sector and measuring the deflection of each tooth2.1 直齿轮刚体动力学模型第4页/共12页斜齿轮斜齿轮弯一扭一轴祸合分析模型2.2 斜齿轮动力学模型第5页/共12页2.2 斜齿轮动力学模型第6页/共12页（1）模态分析 阻尼C=0及激励P=0时进行模态分析（2）响应求解方法 结构复杂，解析方法求解困难，多用数值方法求解。常见的数值求解方法：逐步积分法（Newmark法，Wilson，中央差分法）和精细积分法2.2 斜齿轮动力学模型第7页/共12页2.3 圆锥齿轮动力学模型第8页/共12页2.3 圆锥齿轮动力学模型第9页/共12页3.齿轮柔体动力学The conventional finite element analyses require a prohibitively refined mesh to address these problems when one seeks dynamic response.The semi-analytical finite element analyses Contact parameters solved by using the analytical method，and substituted into the FEM Flexibility of bodies could be considered in two different ways,using the modal superposition(RFLEX,reduced flexibility model)or considering the overall body flexibility by means of the discretized mass and stiffness matrices of the body(FFLEX,full flexibility model).第10页/共12页Full Flexible Model(FFM)The flexibility of the gears is computed by means of a reduced FE model.（reduced stiffness and mass matrices compute modal properties and mode shapes a metafile-Recurdyn）3.齿轮柔体动力学第11页/共12页谢谢您的观看！第12页/共12页