齒輪系統(tǒng)動力學(xué)剛體模型

1、齒輪系統(tǒng)動力學(xué)剛體模型第1頁，共14頁，2022年，5月20日，2點(diǎn)4分，星期五齒輪動力學(xué)模型建立葛銀明第2頁，共14頁，2022年，5月20日，2點(diǎn)4分，星期五1. 齒輪模型發(fā)展歷史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 experimen

2、tal methodologies.From the 1950s, very simplied 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

3、 of teeth, nonlinearities of the system, damping and friction parameters.第3頁，共14頁，2022年，5月20日，2點(diǎn)4分，星期五1. 齒輪模型發(fā)展歷史Nowadays, reference models available take the peculiarity into account global dynamic phenomena as torsion, exural and axial vibrations, allowing to obtain both transitory and operating r

4、esponses, 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 exibility of the

5、 body gear with respect teeth ring第4頁，共14頁，2022年，5月20日，2點(diǎn)4分，星期五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 exibility features of bodies are derived using FE a

6、pproach.第5頁，共14頁，2022年，5月20日，2點(diǎn)4分，星期五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 直齒輪剛體動力學(xué)模型第6頁，共14頁，2022年，5月20日，2點(diǎn)4分，星期五Flex Teeth Model (FTM)（1）a Bushing Force element

7、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 deection of each tooth2.1 直齒輪剛體動力學(xué)模型第7頁，共14頁，2022年，5月20日，2點(diǎn)4分，星期五斜齒輪斜齒輪

8、彎一扭一軸禍合分析模型2.2 斜齒輪動力學(xué)模型第8頁，共14頁，2022年，5月20日，2點(diǎn)4分，星期五2.2 斜齒輪動力學(xué)模型第9頁，共14頁，2022年，5月20日，2點(diǎn)4分，星期五（1）模態(tài)分析 阻尼C=0及激勵(lì)P=0時(shí)進(jìn)行模態(tài)分析（2）響應(yīng)求解方法 結(jié)構(gòu)復(fù)雜，解析方法求解困難，多用數(shù)值方法求解。 常見的數(shù)值求解方法：逐步積分法（Newmark法，Wilson，中央差分法）和精細(xì)積分法2.2 斜齒輪動力學(xué)模型第10頁，共14頁，2022年，5月20日，2點(diǎn)4分，星期五2.3 圓錐齒輪動力學(xué)模型第11頁，共14頁，2022年，5月20日，2點(diǎn)4分，星期五2.3 圓錐齒輪動力學(xué)模型第12頁，

9、共14頁，2022年，5月20日，2點(diǎn)4分，星期五3. 齒輪柔體動力學(xué)The conventional nite element analyses require a prohibitively rened mesh to address these problems when one seeks dynamic response.The semi-analytical nite element analyses Contact parameters solved by using the analytical method，and substituted into the FEM Flexi

10、bility of bodies could be considered in two different ways, using the modal superposition (RFLEX, reduced exibility model) or considering the overall body exibility by means of the discretized mass and stiffness matrices of the body (FFLEX, full exibility model). 第13頁，共14頁，2022年，5月20日，2點(diǎn)4分，星期五Full Flexible Model (FFM) The exibility of the gears is computed by means o