A Correction to the Governor Model Moment of Inertia

1973 ◽  
Vol 51 (16) ◽  
pp. 1794-1795 ◽  
Author(s):  
V. R. Prakash
Keyword(s):  
First Principles ◽  
Closed Shell ◽  
Moment Of Inertia ◽  
Model Calculations ◽  
Significant Correction ◽  
The Moment ◽  
Rotationally Invariant ◽  
Correct Expression

It is shown that the expression for the moment of inertia used in the governor model calculations is incorrect. A correct expression for the moment of inertia is derived from first principles and is found to differ from the earlier, approximately by a factor of 1/2. This introduces a significant correction in the calculation of the number of nucleons outside the rotationally invariant core and the possible closed shell configuration given by Trainor and Gupta.

Nucleon motion in a rotating potential

1956 ◽  
Vol 238 (1212) ◽  
pp. 132-141 ◽  
Keyword(s):  
Closed Shell ◽  
Moment Of Inertia ◽  
Rotational Spectra ◽  
Angular Momenta ◽  
A Value ◽  
Independent Particle ◽  
Elementary Methods ◽  
Angular Velocities ◽  
The Moment ◽  
The Individual

The problem of nucleons moving independently in a rotating oscillator potential can be solved exactly by elementary methods. The resulting simple expressions for the energy and moment of inertia are valid for all angular velocities, and will be of use in estimating corrections to the finer details of the rotational spectra of nuclei. The motion is analyzed in terms of the orbits of the individual nucleons. The rotation of the average field induces particle motions with positive and negative orbital angular momenta, which are large in comparison with the angular momenta associated with the rotation of the orbits with the average angular velocity. The ‘rigid’ value of the moment of inertia of the independent particle motion near an equilibrium deformation results from the cancellation of these much larger orbital contributions. The orbits ‘outside’ closed shells contribute to the moment of inertia a value practically equal to that of a rigid body with the mass distribution of the whole nucleus. On account of cancellations, the resultant contribution of the deformed, closed-shell core is only a small fraction of the total value.

Perception of the moment of inertia of hand tools

1982 ◽  
Author(s):  
Carol Zahner ◽  
M. Stephen Kaminaka
Keyword(s):  
Moment Of Inertia ◽  
Hand Tools ◽  
The Moment

The early growth process of helium blistering in tungsten and molybdenum: First-principles and statistical model calculations

2021 ◽  
Vol 550 ◽  
pp. 152938
Author(s):  
Kun Jie Yang ◽  
Yue-Lin Liu ◽  
Hai-Hong Li ◽  
Peng Shao ◽  
Xu Zhang ◽  
...  
Keyword(s):  
Statistical Model ◽  
First Principles ◽  
Growth Process ◽  
Early Growth ◽  
Model Calculations

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

2020 ◽  
Author(s):  
Chuanwen Zhang ◽  
Guangxu Zhou ◽  
Ting Yang ◽  
Ningran Song ◽  
Xinli Wang ◽  
...  
Keyword(s):  
Industrial Robots ◽  
Moment Of Inertia ◽  
The Moment

On the nuclear equilibrium deformation and the moment of inertia of the band

1971 ◽  
Vol 34 (4) ◽  
pp. 255-256 ◽  
Author(s):  
S.A. Hjorth ◽  
J. Oppelstrup ◽  
G. Ehrling
Keyword(s):  
Moment Of Inertia ◽  
Equilibrium Deformation ◽  
The Moment

New Theorems for Moments of Inertia

1993 ◽  
Vol 21 (4) ◽  
pp. 355-366 ◽  
Author(s):  
David L. Wallach
Keyword(s):  
Regular Polygon ◽  
Moment Of Inertia ◽  
Regular Polygons ◽  
Centre Of Mass ◽  
Moments Of Inertia ◽  
The Moment

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.

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

2012 ◽  
Vol 253-255 ◽  
pp. 2102-2106 ◽  
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.

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

2018 ◽  
Vol 233 (8) ◽  
pp. 980-993 ◽  
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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