Research on the identification of the moment of inertia of PMSM for industrial robots

The moment of inertia of a plane lamina about any axis not in this plane can be easily calculated if the moments of inertia about two mutually perpendicular axes in the plane are known. Then one can conclude that the moments of inertia of regular polygons and polyhedra have symmetry about a line or point, respectively, about their centres of mass. Furthermore, the moment of inertia about the apex of a right pyramid with a regular polygon base is dependent only on the angle the axis makes with the altitude. From this last statement, the calculation of the centre of mass moments of inertia of polyhedra becomes very easy.

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Dynamic Modeling of the Torsional Vibration of the Slewing Mechanism of a Hydraulic Excavator

Applied Mechanics and Materials ◽

10.4028/www.scientific.net/amm.253-255.2102 ◽

2012 ◽

Vol 253-255 ◽

pp. 2102-2106 ◽

Cited By ~ 1

Author(s):

Xu Juan Yang ◽

Zong Hua Wu ◽

Zhao Jun Li ◽

Gan Wei Cai

Keyword(s):

Torsional Vibration ◽

Natural Frequencies ◽

Planetary Gear ◽

Moment Of Inertia ◽

Hydraulic Excavator ◽

Planetary Gear Trains ◽

Vibration Model ◽

Gear Trains ◽

The Moment ◽

Relationship Of

A torsional vibration model of the slewing mechanism of a hydraulic excavator is developed to predict its free vibration characteristics with consideration of many fundamental factors, such as the mesh stiffness of gear pairs, the coupling relationship of a two stage planetary gear trains and the variety of moment of inertia of the input end caused by the motion of work equipment. The natural frequencies are solved using the corresponding eigenvalue problem. Taking the moment of inertia of the input end for example to illustrate the relationship between the natural frequencies of the slewing mechanism and its parameters, based on the simulation results, just the first order frequency varies significantly with the moment of inertia of the input end of the slewing mechanism.

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Synergetic control of permanent magnet synchronous motor based on load torque observer

Proceedings of the Institution of Mechanical Engineers Part I Journal of Systems and Control Engineering ◽

10.1177/0959651818811253 ◽

2018 ◽

Vol 233 (8) ◽

pp. 980-993 ◽

Cited By ~ 1

Author(s):

Tao Wang ◽

Jikun Li ◽

Yuwen Liu

Keyword(s):

Control Theory ◽

Permanent Magnet ◽

High Efficiency ◽

Sliding Mode ◽

Permanent Magnet Synchronous Motor ◽

Synchronous Motor ◽

Moment Of Inertia ◽

Load Torque ◽

Synergetic Control ◽

The Moment

The control of permanent magnet synchronous motor has become an important research, and many control methods have been developed because of its high efficiency and energy-saving characteristics. This article proposes a new motor control approach based on synergetic approach in control theory (SACT) and sliding-mode control (SMC). Since the load torque of the motor will change, the moment of inertia will increase in the experiment. The load torque is estimated by the sliding-mode observer. The moment of inertia is calculated by the least squares method by adding a forgetting factor. The practical application of synergetic control theory broadens the train of thought to meet the demand of high-performance motor drive further. The simulation and experimental results show that this control scheme in this article can improve the transient response and system robustness of dynamic systems.

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Finding Principal Axes of Complex Plane Rigid Body with Rending-Image of MATLAB

Advanced Materials Research ◽

10.4028/www.scientific.net/amr.490-495.2156 ◽

2012 ◽

Vol 490-495 ◽

pp. 2156-2159

Author(s):

Wu Gang Li

Keyword(s):

Rigid Body ◽

Complex Plane ◽

Principal Axis ◽

Flat Surface ◽

Moment Of Inertia ◽

Principal Axes ◽

The Moment

In order to find the principal axes of inertia and calculate their moment of inertia to any plane homogeneous rigid body for calculating easily the moment of inertia to any axis of this rigid body, the principal axes could be found and their moment of inertia could be calculated automatically by using the reading-image of MATLAB to read the image messages about the flat surface of the rigid body and by the procedures which ware made according to the logic relation about the principal axis and the moment of inertia of the rigid body. Applying this method in a homogeneous cube, a result was acquired, error of which is small compared with the theoretical value. So this method is reliable, convenient and practical

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Considerations on the influence of the moment of inertia on the movement of a vehicle

ANNALS OF THE ORADEA UNIVERSITY Fascicle of Management and Technological Engineering ◽

10.15660/auofmte.2019-2.3460 ◽

2019 ◽

Vol Volume XXIX (XIX), 2019/2 (2) ◽

Author(s):

M Trotea ◽

A Constantinescu ◽

A E Romanescu

Keyword(s):

Moment Of Inertia ◽

The Moment

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On the 2PN Periastron Precession of the Double Pulsar PSR J0737–3039A/B

Universe ◽

10.3390/universe7110443 ◽

2021 ◽

Vol 7 (11) ◽

pp. 443

Author(s):

Lorenzo Iorio

Keyword(s):

General Relativity ◽

Present Author ◽

Moment Of Inertia ◽

The Other ◽

Orbital Elements ◽

Binary Pulsars ◽

Orbital Phase ◽

Order Of Magnitude ◽

General Relativistic ◽

The Moment

One of the post-Keplerian (PK) parameters determined in timing analyses of several binary pulsars is the fractional periastron advance per orbit kPK. Along with other PK parameters, it is used in testing general relativity once it is translated into the periastron precession ω˙PK. It was recently remarked that the periastron ω of PSR J0737–3039A/B may be used to measure/constrain the moment of inertia of A through the extraction of the general relativistic Lense–Thirring precession ω˙LT,A≃−0.00060∘yr−1 from the experimentally determined periastron rate ω˙obs provided that the other post-Newtonian (PN) contributions to ω˙exp can be accurately modeled. Among them, the 2PN seems to be of the same order of magnitude of ω˙LT,A. An analytical expression of the total 2PN periastron precession ω˙2PN in terms of the osculating Keplerian orbital elements, valid not only for binary pulsars, is provided, thereby elucidating the subtleties implied in correctly calculating it from k1PN+k2PN and correcting some past errors by the present author. The formula for ω˙2PN is demonstrated to be equivalent to that obtainable from k1PN+k2PN by Damour and Schäfer expressed in the Damour–Deruelle (DD) parameterization. ω˙2PN actually depends on the initial orbital phase, hidden in the DD picture, so that −0.00080∘yr−1≤ω˙2PN≤−0.00045∘yr−1. A recently released prediction of ω˙2PN for PSR J0737–3039A/B is discussed.

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Pengaruh Variasi Radius-Dalam Rim Terhadap Pengurangan Massa dan Momen Inersia Massa Dengan Studi Kasus Benda Putar Berdiameter 10 cm

Jurnal Rekayasa Hijau ◽

10.26760/jrh.v1i1.1339 ◽

2018 ◽

Vol 1 (1) ◽

Author(s):

Eka Taufiq Firmansjah

Keyword(s):

Outer Radius ◽

Moment Of Inertia ◽

Mass Reduction ◽

Inner Radius ◽

Mass Moment ◽

Mass Moment Of Inertia ◽

Machine Elements ◽

The Moment ◽

The Masses

ABSTRAK Mesin terdiri dari sekumpulan elemen mesin yang diam dan bergerak. Elemen mesin yang bergerak dengan gerakan berputar disebut benda putar. Pada beberapa kasus seringkali diinginkan pengurangan massa dari benda putar tersebut untuk alasan ekonomis, biasanya untuk elemen mesin yag diproduksi massal. Namun pengurangan massa berakibat pada pengurangan momen inersia massa benda putar bersangkutan. Jika tuntutan perancangan tidak mempermasalahkan perubahan tersebut, maka pengurangan massa tidak menjadi masalah. Namun jika momen inersia massa tidak boleh terlalu rendah, maka harus dicari kompromi dimana pengurangan massa sebesar-besarnya namun penurunan momen inersia massa sekecil-kecilnya. Pada penelitian ini dilakukan studi kasus terhadap benda putar berjari- jari 10 cm jari-jari dalam hub 2 cm dan jari-jari luar hub 4 cm. Jumlah jari-jari ada 4 dengan lebar 1 cm dan tebal benda putar 0,5 cm. Variasi pengurangan massa dilakukan dengan memvariasikan jari-jari- dalam rim. Untuk tiap variasi, dilakukan perhitungan untuk mendapatkan jumlah massa yang dapat dikurangi dan momen inersia massa dari benda putar. Ternyata pada nilai jari-jari dalam tertentu, dapat diperoleh nilai kompromi dari permasalahan diatas. Kata kunci: benda putar, penghematan bahan, momen inersia massa. ABSTRACT Machine consists of a set of machine elements that still and moving. Machine elements that move in a circular motion called rotary object. In some cases it is often desirable reduction in the mass of the rotating object for economic reasons, usually for a mass production of machine elements. But the mass reduction results in a reduction in moment of inertia of the mass. If the demands of the design allow this decrease of moment of inertia, mass reduction is not a problem. But if the moment of inertia of the masses should not be too low, it must find a compromise in which a mass reduction profusely but the decrease in the mass moment of inertia of the smallest. In this research conducted a case study of rotating element radius of 10 cm, radius of the hub 2 cm and outer radius hub 4 cm. The number of spoke are 4 with a width of 1 cm and uniform thickness 0.5 cm all over rotating element. Variations mass reduction is done by varying the inner radius of the rim. For each variation, calculation is performed to obtain the amount of mass that can be reduced and the mass moment of inertia of the rotating object. It turned out that in the certain value of inner radius of the rim in particular, can compromise the values obtained from the above problem. Keywords: rotating element, reducing material, mass moment of inertia.

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