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Deformation analysis of the flexspline of harmonic drive gears considering the driving speed effect using laser sensors

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Science China(Technological Sciences) 2017年第8期60卷 1175-1187页

作者： MA DongHui WU JiaNing LIU Tao YAN ShaoZe State Key Laboratory of Tribology Department of Mechanical Engineering Tsinghua University Beijing 100084 China

Accurate description of the elastic deformation of the flexspline is the foundation for optimization design of the structure and conjugate profiles of the harmonic drive gear. This paper proposed an experimental method to investigate the effect of the driving speed on the deformation characteristics of the flexspline. First, an experimental apparatus that integrates a special-fabricated micro-displacement platform and a pair of laser displacement sensors is developed, and the radial displacement of the flexspline is measured in vertical and horizontal directions. Next, the deformation analyses of the flexspline at different driving speeds are performed with our method and the conventional method, and the comparison results reveal that the radial displacement of the flexspline is actually composed of both harmonic and random components, and the amplitude decreases and tends to zero with the increase of the driving speed, especially near the closed end of the flexspline. Last, the mechanisms of the inherent multi-frequency and amplitude attenuation characteristics of the radial displacement of the flexspline are discussed. It is indicated that the impact and friction existing in the flexible bearing of the wave generator is likely responsible for the existence of the random component, and the assumption of linear distribution of the ftexspline deformation along the rotating axis is invalid under high speed condition. Our research promotes the further study on the contact-impact problem of the flexible bearing of the wave generator and the transfer characteristic of the elastic deformation of the flexspline.

关键词： harmonic drive gear flexspline radial displacement driving speed laser displacement sensor flexible bearing

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Vibration of an infinite inhomogeneous transversely isotropic viscoelastic medium with cylindrical hole

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Applied Mathematics and Mechanics(English Edition) 2008年第3期29卷 367-378页

作者： D.P.Acharya Indrajit Roy P.K.Biswas 109/3 Kailash Roy Chowdhury RoadBarrackporeKolkata 700120WBIndia Brahmapara SimuraliNadia 741248WBIndia Department of Mathematics Kanchrapara CollegeKanchraparaWBIndia

This paper investigates the influences of higher order viscoelasticity and the inhomogeneities of the transversely isotropic elastic parameters on the disturbances in an infinite medium, caused by the presence of a transient radial force or twist on the surface of a cylindrical hole with circular cross section. Following Voigt＇s model for higher order viscoelasticity, the nonvanishing stress components valid for a transversely isotropic and higher order viscoelastic solid medium have been deduced in terms of radial displacement component. Considering the power law variation of elastic and viscoelastic parameters, the stress equation of motion has been developed. Solving this equation under suitable boundary conditions, due to transient forces and twists, radial displacement and relevant stress components have been determined in terms of modified Bessel functions. The problem for the presence of transient radial force has been numerically analysed. Modulations of displacement and stresses due to different order of viscoelasticity and inhomogeneity have been graphically depicted. The numerical study of the disturbance caused by the presence of twist on the surface may be similarly done but is not pursued in this paper.

关键词： higher order viscoelasticity inhomogeneity and transversely isotropy transient force and twist radial displacement stress components modified Bessel functions

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