齿轮系统动力学刚体模型

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
2.2 斜齿轮动力学模型
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
Байду номын сангаас.2 斜齿轮动力学模型
• （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—θ，中
2.1 直齿轮刚体动力学模型 • 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
齿轮动力学模型建立
—葛银明
1. 齿轮模型发展历史
• From the 1920s to 1930s of the last century, a primary goal of engineers is to analyze the engaging dynamic problems in order to quantify the entity of teeth loadings by means of both analytical and experimental methodologies. • From the 1950s, very simplified lumped parameters systems (as mass-spring systems) have been set up to study dynamic effects on gears, becoming more and more sophisticated. • During the 1970s and 1980s, lumped parameters models may include complex effects as the tridimensional stiffness of teeth, nonlinearities of the system, damping and friction parameters.
• 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.
央差分法）和精细积分法
2.3 圆锥齿轮动力学模型
2.1 直齿轮刚体动力学模型
• 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 tooth