scholarly journals Polarization Navigation Simulation System and Skylight Compass Method Design Based upon Moment of Inertia

2020 ◽  
Vol 2020 ◽  
pp. 1-14
Author(s):  
Huaju Liang ◽  
Hongyang Bai ◽  
Ning Liu ◽  
Xiubao Sui
Keyword(s):  
Rigid Body ◽  
Extreme Values ◽  
Rigid Body Dynamics ◽  
Moment Of Inertia ◽  
Atmospheric Scattering ◽  
Skylight Polarization ◽  
Polarization Image ◽  
Simulation And Experiment ◽  
The Moment ◽  
Research Studies

Unpolarized sunlight becomes polarized by atmospheric scattering and produces a skylight polarization pattern in the sky, which is detected for navigation by several species of insects. Inspired by these insects, a growing number of research studies have been conducted on how to effectively determine a heading angle from polarization patterns of skylight. However, few research studies have considered that the pixels of a pixelated polarization camera can be easily disturbed by noise and numerical values among adjacent pixels are discontinuous caused by crosstalk. So, this paper proposes a skylight compass method based upon the moment of inertia (MOI). Inspired by rigid body dynamics, the MOI of a rigid body with uniform mass distribution reaches the extreme values when the rigid body rotates on its symmetry axes. So, a whole polarization image is regarded as a rigid body. Then, orientation determination is transformed into solving the extreme value of MOI. This method makes full use of the polarization information of a whole polarization image and accordingly reduces the influence of the numerical discontinuity among adjacent pixels and measurement noise. In addition, this has been verified by numerical simulation and experiment. And the compass error of the MOI method is less than 0.44° for an actual polarization image.

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

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

scholarly journals A teaching proposal for the study of Eigenvectors and Eigenvalues

2017 ◽  
Vol 7 (1) ◽  
pp. 100 ◽  
Author(s):  
María José Beltrán Meneu ◽  
Marina Murillo Arcila ◽  
Enrique Jordá Mora
Keyword(s):  
Rigid Body ◽  
Mathematical Thinking ◽  
Point Of View ◽  
Moment Of Inertia ◽  
Geometric Point ◽  
The Moment ◽  
Eigenvectors And Eigenvalues

In this work, we present a teaching proposal which emphasizes on visualization and physical applications in the study of eigenvectors and eigenvalues. These concepts are introduced using the notion of the moment of inertia of a rigid body and the GeoGebra software. The proposal was motivated after observing students’ difficulties when treating eigenvectors and eigenvalues from a geometric point of view. It was designed following a particular sequence of activities with the schema: exploration, introduction of concepts, structuring of knowledge and application, and considering the three worlds of mathematical thinking provided by Tall: embodied, symbolic and formal.

A Measurement Oriented Formulation of the Dynamics of Natural and Robotic Systems

1991 ◽  
Vol 113 (3) ◽  
pp. 401-408 ◽  
Author(s):  
H. Hemami
Keyword(s):  
Rigid Body ◽  
Inverse Dynamics ◽  
Rigid Body Dynamics ◽  
Moment Of Inertia ◽  
Computational Burden ◽  
Inertia Matrix ◽  
Body Dynamics ◽  
Sensory Modalities ◽  
On Line ◽  
Internal Forces

A measurement oriented formulation of rigid body dynamics is applied to a special class of planar linkage systems. It leads to a diagonal moment of inertia matrix, and thus simplifies the feedforward computations in the controller. On the other hand, if measurements are not available or measurements are not allowed, the computational burden shifts to the feedback computation of the generalized or internal forces. This formulation may find applications in off-line digital computer simulations and on-line control of the rigid body systems via the inverse dynamics methods. It may also underly computations in natural and biological systems that are rich with sensory modalities and processes. The computational burden in this model is shifted from the inverse of moment of inertia matrix to the derivation of the forces of constraint, contact, connection, internal or generalized. When these forces are available from measurements, the computations are indeed reduced and consequently on-line control problems are rendered easier. As a consequence of this representation the problems of transmission delay, and predictive compensation become important as is shown via an example. The investigation of the range of intermediate representations where computations and measurements are combined remains a fertile subject.

Three-Axis Theorem in Moment of Inertia Computation

2020 ◽  
Vol 02 (03) ◽  
pp. 2050012
Author(s):  
Bernard Ricardo ◽  
Zhe Wen Yuan
Keyword(s):  
Angular Velocity ◽  
Rigid Body ◽  
Rigid Body Dynamics ◽  
Moment Of Inertia ◽  
Rotational Axis ◽  
Mass Element ◽  
Body Dynamics ◽  
Novel Methods ◽  
Constituent Mass ◽  
Infinitesimal Mass

A very important property in the study of rigid body dynamics, moment of inertia describes the resistance of an object to any change in its angular velocity, given a certain amount of torque. Although many novel methods have been developed to simplify its calculation, this paper presents a remarkable theorem in moment of inertia that has never been widely used, the three-axis theorem. The theorem provides an alternative way for moment of inertia computation and better visualization in integrating each infinitesimal constituent mass element of a rigid body. The key idea is to focus on the distance from this infinitesimal mass to the intersection of the three axes, instead of its distance to a certain rotational axis.

scholarly journals Un análisis biomecánico de la patada descendente de taekwondo modificada

2012 ◽  
Vol 2 (1) ◽  
pp. 28
Author(s):  
Luigi T. Bercades ◽  
Willy Pieter
Keyword(s):  
Angular Momentum ◽  
Theoretical Analysis ◽  
Rigid Body ◽  
Moment Of Inertia ◽  
Font Size ◽  
Alternate Version ◽  
The Moment

<p class="MsoNormal" style="text-align: justify; margin: 0cm 0cm 6pt;"><span style="mso-ansi-language: EN-US;" lang="EN-US"><span style="font-size: small;"><span style="font-family: Calibri;">This study is a theoretical analysis of the kinematic and kinetic aspects of the modified taekwondo axe kick. The traditional or classical axe kick has the whole kicking leg (the thigh and the shank) considered as a rigid body on both the upswing and downswing phases of the kick, which is speculated to have sufficient angular momentum to increase the risk of some forms of injuries in competition. The present study seeks to present an alternate version that will decrease the moment of inertia on the downswing, reduce the subsequent angular momentum<em style="mso-bidi-font-style: normal;">, </em>and finally decrease the resultant impulse to the target. Theoretically, this will reduce the chances of certain types of injury caused by the kick.</span></span></span></p>

On the Computation of Relative Rotations and Geometric Phases in the Motions of Rigid Bodies

1997 ◽  
Vol 64 (4) ◽  
pp. 969-974 ◽  
Author(s):  
O. M. O’Reilly
Keyword(s):  
Rigid Body ◽  
Computational Methods ◽  
Rigid Bodies ◽  
Rigid Body Dynamics ◽  
Relative Rotation ◽  
Geometric Phases ◽  
Body Dynamics ◽  
Computational Aspects ◽  
Body Rolling ◽  
The Moment

In this paper, expressions are established for certain relative rotations which arise in motions of rigid bodies. A comparison of these results with existing relations for geometric phases in the motions of rigid bodies provides alternative expressions of, and computational methods for, the relative rotation. The computational aspects are illustrated using several examples from rigid-body dynamics: namely, the moment-free motion of a rigid body, rolling disks, and sliding disks.

Using Governor Sensitivity Test Method to Analyze Moment of Inertia of Engine Generator Set

2011 ◽  
Vol 383-390 ◽  
pp. 1131-1137
Author(s):  
Wan Qing Teng ◽  
Zheng Yi Ren ◽  
Zhi Qiu Wang ◽  
Bin Lv
Keyword(s):  
Moment Of Inertia ◽  
Sensitivity Test ◽  
Test Method ◽  
Additional Mass ◽  
Estimation Errors ◽  
Factors Affecting ◽  
Simulation And Experiment ◽  
Speed Change ◽  
The Moment ◽  
Speed Response

A new method for estimating the moment of inertia of engine generator set was proposed in this paper, which was defined as Governor Sensitivity Test Method (GSTM). In this method, the moment of inertia of engine generator set was estimated by means of measure transient speed change of engine generator set when the engine load increases suddenly. In the present, there have been some methods for estimating the moment of inertia of engine, such as, Additional Mass Method, Running Down Test Method and Accelerating- Decelerating Method Under No Load. These methods for estimating the moment of inertia of engine generator set all have shortcomings on accuracy or operability. These shortcomings have been overcome by using the GSTM method proposed in this paper. It is easy to operate, and the factors affecting estimation errors are small. In this paper, the basic principle of the GSTM method was discussed. The factors affecting estimation errors ware analyzed. An example of calculating the moment of inertia of an engine generator set using the GSTM method was presented. The result of calculating the moment of inertia of engine generator set was used to simulate the transient speed response of an engine generator set. The GSTM method was verified to be practical by comparing the results of simulation and experiment.

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
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