INTRODUCTION. Designing a machine capable of performing its task efficiently, reducing the use of energy, sizing it appropriately and considerably reducing the dynamic stress resulting from the impact to avoid fatigue failures, represents an important challenge (Ocampo et al., 2015).The structural integrity of a mill can be rapidly degraded due to …
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Dynamic Analysis Engineers performing dynamic analysis must 1. Determine the natural frequencies of the structure. 2. Characterize potential excitation functions. 3. Calculate the response of the structure to the maximum expected excitation. 4. Determine whether the expected response violates any failure criteria. This report is concerned with ...
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— Tuned particle dampers (TPDs) are recognized for their innovative approach to nonlinear energy dissipation, maintaining the dynamic characteristics of the systems …
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— High-speed ball bearings are widely used in aerospace, high-speed machining tool and other complex mechanical systems. And the stiffness is one of most critical parameter of bearings to decide the machine performance. This paper attempts to construct a 5-DOF stiffness matrix based on quasi-dynamic model of high-speed ball …
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d ynamic stiffness and vibration analysis model of angular cont act ball bearing considering vibration and friction state variation.x ianghe y un, q ingkai h an, b aogang w en, x u h ao issn p ...
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— A steady-state temperature calculation model of angle contact ball bearing-shaft-house system is built based on thermal network method. ... the dynamic stiffness and vibration model of angular ...
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— The other possible way to obtain speed-varying stiffness of rolling bearing is to measure slope of the load-deflection curves at the required deflection location(s) (Fig. 3 presents this method, load F and δ are the two elements in establishing load-deflection relations).To determinate the required speed-varying stiffness at a certain deflection …
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— Abstract. Skidding behavior and unstable cage whirling of bearings are key factors limiting the service performance of a spindle-bearing system. This study …
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— To rapidly and accurately calculate the stiffness matrix of ball bearing under the arbitrary load conditions, a 5-DOF analytical model for bearing stiffness matrix analysis has been established by the …
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— The mill speed and filling were varied, and the torque required to drive the mill and power was predicted. Mishra et al. conducted the motion analysis of particles in ball mills using DEM. The results predicted the motion of two arbitrary particles, charge profile similar to the laboratory ball mill.
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— The dynamic analysis of ball mill foundation is a typical problem of soil-structure interaction, and the sub-structure method is …
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— In this work, the stiffness matrix model is integrated into the dynamic model of ball bearings, in which the dynamic forces real-timely affect the stiffness calculation to form the dynamic stiffness, which is a novel solution for the dynamic performance analysis of ball bearings under different loads, assemblies and bearing structures.
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— Reading Time: 6 minutes The last article published on KOT's Blog covered concepts such as: ODS, accelerometry, modal analysis and ressonance. Introduction The need for mills in various mining …
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— A modified mathematical model for simulating gear crack from root with linear growth path in a pinion is developed, in which an improved potential energy method is used to calculate the time-varying meshing stiffnesses of the meshing gear pair while we also take the deformation of gear-body into consideration. The formulas for the meshing …
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— In this work, the stiffness matrix model is integrated into the dynamic model of ball bearings, in which the dynamic forces real-timely affect the stiffness calculation to …
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— Many important contributions on the field of the dynamic stiffness method applied to beam-like and frame structures are reported in the literature in the context of inhomogeneous and discontinuous ...
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— The elastic deformation of rolling mill elements during the rolling process is important. By knowing the displacement of rolls, the optimum gap between the work rolls can be calculated. In present research, a vibration model with two degrees of freedom is proposed for a cold sheet rolling mill and the stiffness parameters of different mill …
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The vibration induced by the varying compliance (VC) or the stiffness fluctuation of ball bearing plays a key role in the dynamic performance of the rotor system.
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In this study, based on ball–raceway Hertz point contact theory, mathematical models of the static and dynamic stiffnesses of angular contact ball bearings are established by introducing ...
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D YNAMIC STIFFNESS AND VIBRATION ANALYSIS MODEL OF ANGULAR CONT ACT BALL BEARING CONSIDERING VIBRATION AND FRICTION STATE VARIATION.X IANGHE Y UN, Q INGKAI H AN, B AOGANG W EN, X U H AO 224 JOURNAL OF V IBROENGINEERING.M ARCH 2022, V OLUME 24, ISSUE 2 [22, 28, 29], make the …
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— For a small ball mill, with a mill diameter less than 3.6 m and small dynamic loads, the method of free vibration analysis (also call modal analysis) can be used.
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2 BALL STIFFNESS The calculation of the ball stiffness is complex. It is based on Hertz theory [1]. Jones proposed in 1946 a simplified calculation [2] [7]. But it leads to an under- estimated ball stiffnessby 5 to 10%. 2.1 Hertz theory Under a normal load, the contact area between the ball and the ring is elliptic. The pressure manifold is a
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— In the context of this study, a novel dynamic model is integrated with the stiffness matrix model so that the dynamic forces effect the stiffness calculation real-timely to form the dynamic stiffness, which is a novel solution for the dynamic performance analysis of rolling bearings under different loads, assemblies and bearing structures. …
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stiffness for this operation mode, the maximum allowable initial mill eccentricity, stator assembly tolerances, the starting torque and the gravitational acceleration. During normal operation, the mill operates in the speed range of about minus forty to plus ten percent of the nomi-nal speed. Between rotor and stator acts the rated torque.
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— The comparison results with regard to dynamic stiffness of ball bearing under purely axial load and different radial clearances are shown in Figure 9. ... Fang B, Hong J, et al. A general model for preload calculation and stiffness analysis for combined angular contact ball bearings[J]. J Sound Vib, 2017, 411: 435-449. Crossref. Google …
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pumps, compressors, pulp refiners, ball mills, furnaces and piping systems. He has a Master of Science in Solid Mechanics from the University of Calgary, and is a member of the Vibration Institute. ABSTRACT ... an increase in the dynamic stiffness of the bearing housing would make the machine less sensitive to changes in balance (eg: due to ...
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— The traditional method for calculating static stiffness is based on statics and material mechanics, analyzing the structure of the machine tool and identifying several key influencing positions of the machine tool's static stiffness, such as movable joint guide rails, fixed joint bolts, bearings, etc. Li Liangfu studied the deformation of the contact parts …
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— Q ik =K id 3=2 ik ð15Þ Q ok =K od 3=2 ok ð16Þ In the formula, K i and K o are the contact deformation coefficients of the inner ring and the outer ring, respec-tively. K i, K i affected by the position of the ball, and K i, K o is a function of d ik, d ok, U k,andV k.Thed ik, d ok, U k, and V k can be calculated numerically using the Newton– Raphson …
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Bearing stiffness calculation is usually done using an iterative algorithm such as Newton-Raphson, because the contact angle depends on the loading. There is no analytical …
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