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Direct Multiscale Analysis of Stability of an axially Moving Functionally Graded Beam with Time-Dependent Velocity

Acta Mechanica Solida Sinica 2020年第2期33卷 150-163页

作者： Ting Yan Tianzhi Yang Liqun Chen Shanghai Institute of Applied Mathematics and Mechanics Shanghai UniversityShanghai 200072China Department of Mechanics Shanghai UniversityShanghai 200444China Department of Mechanics Tianjin UniversityTianjin 300072China Tianjin Key Laboratory of Nonlinear Dynamics and Control Tianjin 300072China

In this study,the transverse vibration of a traveling beam made of functionally graded material was *** material gradation was assumed to vary continuously along the thickness direction of the beam in the form of power law *** effect of the longitudinally varying tension due to axial acceleration was highlighted,and the dependence of the tension on the finite support rigidity was also considered.A complex governing equation of the functionally graded beam was derived by the Hamilton principle,in which the geometric nonlinearity,material properties and axial load were *** direct multiscale method was applied to the analysis process of an axially moving functionally graded beam with timedependent velocity,and the natural frequency and solvability conditions were *** on the conditions,the stability boundaries of subharmonic resonance and combination resonance were *** was found that the dynamic behavior of axial moving beams could be tuned by using the distribution law of the functional gradient parameters.

关键词： axial motion Functionally graded beam Direct multiscale method Support rigidity Stability boundary

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Analysis on mechanism of axial drifting of cylinder workpiece on welding roller bed

引用

China Welding 1996年第2期5卷 151-160页

作者： SHEN Fenggang PAN Xide XUE Jin and WAHG Zheng(Welding Research Institute,Xi’an Jiaotong University,Xi’an.710049.P.R.China.)(Welding Department,Guansu University of Technology,Lanzhou,730050.P.R.China.)

The basic theory of the axial drifting of the cylinder on a welding roller ded is introduced in the the paper,at,the same time,experiment and study for the mechanism of axial drifting of the cylinder have been done on an experimental of the welding roller *** shows that the main cause of the axial drifting of the cylinder lies in the existence of spiral angle between cylinder and *** relative axial motions between rollers and cylinder are composed of spiral motion,elastic slide and frictional *** theory of the compatible motion and the non-compatible one is put forward for the exial motions of the *** relative axial motion between rollers and cylinder is coordinated by elastic slides and frictional slides between two ones.

关键词： welding roller bed cylinder roller axial motion spiral angle

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