Variation of Natural Frequencies by Circular Saw Blade Rotation

Anđelić, Nikola; Braut, Sanjin; Pavlović, Ana

doi:10.17559/tv-20160210110559

Cited by 3 publications

(7 citation statements)

References 13 publications

(27 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In contrast to [9,11], where the natural frequencies of circular saws are determined under ideal boundary conditions, the constructed numerical solution to the differential equation of the transverse vibrations of a stretched disk of a circular saw makes it possible to take into account the actual conditions of its fastening. The dynamic model of transverse vibrations of the circular saw disk is implemented as a program in the Maple 15 mathematical environment and can be used by scientific and technical workers engaged in the design and operation of circular saw machines to predict the critical speeds of rotation of saw shafts.…”

Section: Discussion Of Results Of Determining the Natural Frequencies...mentioning

confidence: 99%

“…In [11], the influence of the rotational speed of the circular saw blade, the shape of the slits, and the number of slits on its natural frequencies was investigated and critical rotational speeds were predicted. The fourth-order differential equation obtained on the basis of Hamilton's principle and the Kirchhoff-Lowe hypothesis for thin plates was used for the study, which describes the transverse oscillations of a fixed ring plate rigidly fixed along the inner contour.…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…The calculated models of circular saws in works [11,12] are circular plates with a free outer contour and a correspondingly fixed inner one. The study of free transverse vibrations of an annular plate that does not rotate was performed in [13].…”

Section: Literature Review and Problem Statementmentioning

confidence: 99%

“…The solutions to the frequency equation (11) are the values of the natural frequencies ω 0 of the transverse oscillations of the disks of circular saws at different values of c -the stiffness coefficient of the fastening of the internal contour of the saw disk. In the absence of rotation of the saw blade, the values of cyclic ω 0 and natural f frequencies for three saw blades with different radii of the outer contour and the radius of the inner contour R 2 of 12.7 mm are given in Tables 1-3.…”

Section: Studying the Influence Of The Rigidity Of The Attachment And...mentioning

confidence: 99%

See 3 more Smart Citations

Determining the frequency of transverse oscillations of an elastically fixed disk of a circular saw

Dziuba,

Chmyr,

Menshykova

et al. 2023

EEJET

View full text Add to dashboard Cite

The object of the study is a circular saw blade. An annular plate of constant thickness with a free outer contour and a fixed inner contour was taken as the calculation scheme of the saw blade. The real conditions for fixing the internal circuit correspond to the elastic fixing of the saw blade with clamping flanges on the shaft of the machine. For the accepted calculation scheme of the circular saw, the dynamic model was a fourth-order nonlinear differential equation of the transverse oscillations of the annular plate with the corresponding boundary conditions. The rotation of the circular saw was taken into account in the dynamic model due to the radial force in the middle surface of the ring plate. This force arises as a result of the action of centrifugal forces during the rotation of the saw blade. The solution to the fourth-order nonlinear differential equation was constructed using the Bubnov-Galyorkin numerical method. The boundary conditions for constructing the solution were as follows: the outer contour of the saw disk was considered free; the inner contour of the saw disk – elastically fixed with a certain stiffness coefficient. The solution was implemented in the Maple 15 mathematical environment in the form of a developed program. According to the obtained frequency equation, the values of cyclic and natural frequencies of transverse oscillations of circular saw disks of different thicknesses with the same radius of the inner contour and three values of the radii of the outer contour were determined: 150 mm, 200 m, and 250 mm. The effect of the rigidity of the internal contour fixing and the angular speed of rotation of the saw blade on the natural frequencies of transverse oscillations was studied. The study was performed for saw disks in the case of oscillations with one, two, and three nodal diameters. It was established that the rigidity of the internal contour of the saw blade has the greatest influence on the natural frequency of transverse oscillations with one nodal diameter

show abstract

Section: Discussion Of Results Of Determining the Natural Frequencies...mentioning

confidence: 99%

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Section: Literature Review and Problem Statementmentioning

confidence: 99%

Section: Studying the Influence Of The Rigidity Of The Attachment And...mentioning

confidence: 99%

See 2 more Smart Citations

Determining the frequency of transverse oscillations of an elastically fixed disk of a circular saw

Dziuba,

Chmyr,

Menshykova

et al. 2023

EEJET

View full text Add to dashboard Cite

show abstract

“…They also modelled bolted connections between the upper and lower casing. Anđelić et al [12] study the influence of a circular saw blade rotation, slot shapes and a number of slots on its natural frequencies and critical speeds. The results were compared with the ones obtained using FEM method and the FEM method was then applied to the real circular saw blade model.…”

Section: Introductionmentioning

confidence: 99%

Modal Properties of Bolted Housing depending on the Methodology of a Solution of Bolted Joints

et al. 2021

View full text Add to dashboard Cite

This paper presents the research of modal characteristics of the bolted housing. The aim of the research was to find out the impact of the methodology of the solution of bolted joints on modal characteristics of the bolted housing of the gearbox unit. Results of research can be applied to bolted housings of any machineries. An impact of bolted joints and their modal properties was also the subject of research. The first three analyses focused on an application of various approximations of bolted joints. The analysis of their substitution by a simplified 3D geometry was solved. The second analysis focused on an application of Beam elements and the third one focused on substitution by bonded contact types. The fourth analysis regarded housing as one body without bolted joints. The impact on modal properties of pre-stress load in joints was researched. The housing was also loaded by the torque moment of an electric motor by means of bearing reactions and also the weight of the motor and brakes mounted to the housing. The article also deals with the efficiency of individual methods regarding the calculation time.

show abstract

A practical guideline in the design and use of woodworking tools

Fragassa¹,

Lucisano²,

Marinković³

et al. 2019

FME Transactions

View full text Add to dashboard Cite

A Practical Guideline in the Design and use of Woodworking ToolsCircular saw blades, either with carbide or diamond inserts, are customarily embedded in wood working machines once they permit a precise and efficient manufacturing of wooden products starting from rawshaped solid wood chunks or laminate panels, allowing efficient processes and improving the overall industrial quality and competiveness of the final product. However, the parameters associated with blade design must be defined with caution, aiming to avoid undesirable cutting performance and consequent relevant detrimental impacts on both processes and equipment. Thus, based on the literature, the present investigation intends to collect and gather a consistent information set regarding the effect of changes in tool design parameters on manufacturing, particularly in the case of wood machining by circular saw blades with reinforced tips. The general outlook provided aims at pointing out essential frameworks and practical guidelines for a better comprehension of the most adequate criteria to be used in the design and choice of tools for each specific manufacturing condition.

show abstract

Variation of Natural Frequencies by Circular Saw Blade Rotation

Cited by 3 publications

References 13 publications

Determining the frequency of transverse oscillations of an elastically fixed disk of a circular saw

Determining the frequency of transverse oscillations of an elastically fixed disk of a circular saw

Modal Properties of Bolted Housing depending on the Methodology of a Solution of Bolted Joints

A practical guideline in the design and use of woodworking tools

Contact Info

Product

Resources

About