以电液伺服系统为研究对象,重点探究了非线性摩擦力对系统动态特征的影响规律.根据非线性动力学原理,建立了电液伺服系统的非线性动力学模型.通过理论研究,指出非线性摩擦力作用可以用Van Der Pol方程描述.通过数值试验分析,揭示了系统...以电液伺服系统为研究对象,重点探究了非线性摩擦力对系统动态特征的影响规律.根据非线性动力学原理,建立了电液伺服系统的非线性动力学模型.通过理论研究,指出非线性摩擦力作用可以用Van Der Pol方程描述.通过数值试验分析,揭示了系统内在的分岔现象及典型非线性动力学行为.用非线性动力学研究方法对实测的电液伺服系统的动态数据进行了深入分析,揭示了摩擦力引起的"极限环型振荡"现象.发现摩擦力的非线性作用会引起电液伺服系统在工作过程中发生非线性振动,其对系统动态特征的影响不容忽视,在系统建模与动态特性研究时应该将摩擦力的非线性作用考虑在内.展开更多
Spur gears are widely used in the power transmission mechanism of several machines.Due to the transmitted torque,spur gears experience high stresses which could cause gear tooth failure by surface pitting or root frac...Spur gears are widely used in the power transmission mechanism of several machines.Due to the transmitted torque,spur gears experience high stresses which could cause gear tooth failure by surface pitting or root fracture.Tip relief and other gear profile modification have been considered for reducing the induced stresses in the gear tooth.In this work,the influence of tip relief on stresses on a pair of identical spur gear was analyzed using commercial FEA software ANSYS,and formulae for estimating contact and bending stresses were derived.Three cases of gear sets were analyzed;a non-modified pair and another two sets with linear and parabolic tip relief profiles.The non-modified gear set frictionless contact stress was validated against the calculated AGMA pitting resistance,Hertzian contact stress and a reported contact stress value in the literature.The four methods agreed well with each other.Similarly,bending stress was also compared with the AGMA bending strength and Lewis bending stress for validation.Then,friction coefficient was varied from 0.0 to 0.3 with increment of 0.1.The gear contact stress increased up to 11%relative to the frictionless case,whereas bending stress decreased by 6%.Linear tip relief modification was carried out for increasing normalised tip relief values of 0.25 to 1.0 with increment of 0.25.The gear frictionless contact and bending stresses decreased by a maximum of 4%and 2%,respectively.Frictional contact stress increased by up to 7.1%and the bending stress is almost identical with the frictionless case.Parabolic tip relief was also carried out with similar normalised tip relief values.Frictionless contact stress decreased by 5%while frictional contact stress increased by up to 11.5%and the bending stress is also almost identical with the frictionless case.Finally,four formulae were introduced for estimating the contact and bending stresses for a tip modified spur gear.展开更多
文摘以电液伺服系统为研究对象,重点探究了非线性摩擦力对系统动态特征的影响规律.根据非线性动力学原理,建立了电液伺服系统的非线性动力学模型.通过理论研究,指出非线性摩擦力作用可以用Van Der Pol方程描述.通过数值试验分析,揭示了系统内在的分岔现象及典型非线性动力学行为.用非线性动力学研究方法对实测的电液伺服系统的动态数据进行了深入分析,揭示了摩擦力引起的"极限环型振荡"现象.发现摩擦力的非线性作用会引起电液伺服系统在工作过程中发生非线性振动,其对系统动态特征的影响不容忽视,在系统建模与动态特性研究时应该将摩擦力的非线性作用考虑在内.
文摘Spur gears are widely used in the power transmission mechanism of several machines.Due to the transmitted torque,spur gears experience high stresses which could cause gear tooth failure by surface pitting or root fracture.Tip relief and other gear profile modification have been considered for reducing the induced stresses in the gear tooth.In this work,the influence of tip relief on stresses on a pair of identical spur gear was analyzed using commercial FEA software ANSYS,and formulae for estimating contact and bending stresses were derived.Three cases of gear sets were analyzed;a non-modified pair and another two sets with linear and parabolic tip relief profiles.The non-modified gear set frictionless contact stress was validated against the calculated AGMA pitting resistance,Hertzian contact stress and a reported contact stress value in the literature.The four methods agreed well with each other.Similarly,bending stress was also compared with the AGMA bending strength and Lewis bending stress for validation.Then,friction coefficient was varied from 0.0 to 0.3 with increment of 0.1.The gear contact stress increased up to 11%relative to the frictionless case,whereas bending stress decreased by 6%.Linear tip relief modification was carried out for increasing normalised tip relief values of 0.25 to 1.0 with increment of 0.25.The gear frictionless contact and bending stresses decreased by a maximum of 4%and 2%,respectively.Frictional contact stress increased by up to 7.1%and the bending stress is almost identical with the frictionless case.Parabolic tip relief was also carried out with similar normalised tip relief values.Frictionless contact stress decreased by 5%while frictional contact stress increased by up to 11.5%and the bending stress is also almost identical with the frictionless case.Finally,four formulae were introduced for estimating the contact and bending stresses for a tip modified spur gear.
