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Dynamic behaviours of driving torque of machine tools in microscopic motion

Yamazaki T., Kaneko S., Sato R.

Journal of Achievements in Materials and Manufacturing Engineering

2006

Vol. 15, nr 1-2

88--93

Purpose: This paper presented more details for control analysis of the dynamic behaviors of the feed drive systems that have been widely used in machine tools. Design/methodology/approach: In order to analyze the nonlinear behaviors of the feed drive system in microscopic motion, the dynamic driving torques were measured when the sinusoidal waves of the microscopic displacement are applied to the AC servo motor. Findings: The experimental results showed that the distortion of the driving torque responses to the sinusoidal wave input of the microscopic displacement become gradually evident as the input amplitude increases. It was evident that the driving torque depends on the input amplitude, but not the input frequency. With the particular input amplitudes of 5um and over, it was clear that the trajectories for different initial driving torques show the same patterns. Research limitations/implications: The results of this research covered the feed drive system with the AC servo motor and rolling guide. However, because the dynamic behavior the rolling element was analyzed, it was alse applicable the feed drive system with the linear motor and rolling guide. Practical implications: This paper cleared more details of driving torque in(at) microscopic motion, the performance of the feed drive system with rolling elements would be improved. Originality/value: The objective of this research project was to develop the feed drive system with the one mechanism and with the high accuracy.

Calculation of cable total displacements considering complex conditions

Juoazapaitis A., Norkus A.

Foundations of Civil and Environmental Engineering

2005

No. 6

85-101

A deformable response of cable structures, designed according to design codes, can be described in terms of total displacements in terms of elastic and kinematic their components. The most dangerous loading case for cable is an asymmetric one, obtained when a part of distributed loads is located in its half span. The cable, subjected to such load, changes its primary geometric shape of quadratic parabola when adapting to asymmetric loads. One deals with nonlinearity evaluation problem when calculating the total displacements of a cable, especially when the effect of horizontal displacement of support (actually met in practice), conditioned by the flexibility of supports, is taken into account. Current investigation is referred to cable deformable behaviour analysis, splitting its displacements into elastic and kinematic ones. Revised analytical expressions to calculate kinematic displacements for loaded and unloaded cable parts have been obtained. A method to evaluate cable total displacements is proposed taking into account the flexibility of supports. Numerical analysis results have also been presented herein.

Stan przemieszczeń pojedynczej liny może być opisany za pomocą przemieszczeń rozdzielonych na części sprężyste i kinematyczne. Najniekorzystniejszym dla liny jest obciążenie asymetryczne, gdy obciążona jest polowa liny. Początkowa krzywizna tony w postaci paraboli drugiego stopnia zmienia się przystosowując do obciążenia. Występują trudności związane z uwzględnieniem nieliniowości przy obliczaniu przemieszczeń całkowitych, zwłaszcza jeżeli uwzględniana jest podatność podpór. W pracy kanalizowany jest stan przemieszczeń liny z wykorzystaniem sposobu podziału prze-Bnieszczeń na część sprężystą i kinematyczną. Podano analityczne wzory na obliczanie przemieszczeń, również z uwzględnieniem podatności podpór. Zamieszczono wyniki f obliczeń z wykorzystaniem zaproponowanej metody.