Jove
Visualize
Contact Us
JoVE
x logofacebook logolinkedin logoyoutube logo
ABOUT JoVE
OverviewLeadershipBlogJoVE Help Center
AUTHORS
Publishing ProcessEditorial BoardScope & PoliciesPeer ReviewFAQSubmit
LIBRARIANS
TestimonialsSubscriptionsAccessResourcesLibrary Advisory BoardFAQ
RESEARCH
JoVE JournalMethods CollectionsJoVE Encyclopedia of ExperimentsArchive
EDUCATION
JoVE CoreJoVE BusinessJoVE Science EducationJoVE Lab ManualFaculty Resource CenterFaculty Site
Terms & Conditions of Use
Privacy Policy
Policies

Related Concept Videos

Relative Motion Analysis using Rotating Axes-Problem Solving01:29

Relative Motion Analysis using Rotating Axes-Problem Solving

809
Consider a crane whose telescopic boom rotates with an angular velocity of 0.04 rad/s and angular acceleration of 0.02 rad/s2. Along with the rotation, the boom also extends linearly with a uniform speed of 5 m/s. The extension of the boom is measured at point D, which is measured with respect to the fixed point C on the other end of the boom. For the given instant, the distance between points C and D is 60 meters.
Here, in order to determine the magnitude of velocity and acceleration for point...
809
Relative Motion Analysis using Rotating Axes01:25

Relative Motion Analysis using Rotating Axes

1.0K
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame.
However, to express the relative position of point B relative to point A, an additional frame of reference, denoted as x'y', is necessary. This additional frame not only translates but also rotates relative to the fixed frame, making it...
1.0K
Gyroscope: Precession01:24

Gyroscope: Precession

5.7K
Precession can be demonstrated effectively through a spinning top. If a spinning top is placed on a flat surface near the surface of the Earth at a vertical angle and is not spinning, it will fall over due to the force of gravity producing a torque acting on its center of mass. However, if the top is spinning on its axis, it precesses about the vertical direction, rather than topple over due to this torque. Precessional motion is a combination of a steady circular motion of the axis and the...
5.7K
Relative Motion Analysis using Rotating Axes - Acceleration01:22

Relative Motion Analysis using Rotating Axes - Acceleration

914
Consider a component AB undergoing a linear motion. Along with a linear motion, point B also rotates around point A. To comprehend this complex movement, position vectors for both points A and B are established using a stationary reference frame. The absolute velocity of point B is determined by adding the absolute velocity of point A, the relative velocity of point B in the rotating frame, and the effects caused by the angular velocity within the rotating frame.
Time differentiation is...
914
Kinematic Equations for Rotation01:30

Kinematic Equations for Rotation

946
In mechanics, when one observes a rigid body in rotational motion with constant angular acceleration, it is possible to establish equations for its rotational kinematics. This process resembles how linear kinematics are dealt with in simpler motion studies.
For instance, imagine a point A on a rigid body engaged in circular motion. The translational velocity of this particular point can be calculated by taking the time derivatives of the displacement equation, which essentially measures the...
946
Rotation with Constant Angular Acceleration - I01:37

Rotation with Constant Angular Acceleration - I

8.8K
If angular acceleration is constant, then we can simplify equations of rotational kinematics, similar to the equations of linear kinematics. This simplified set of equations can be used to describe many applications in physics and engineering where the angular acceleration of a system is constant.
Using our intuition, we can begin to see how rotational quantities such as angular displacement, angular velocity, angular acceleration, and time are related to one another. For example, if a flywheel...
8.8K

You might also read

Related Articles

Articles linked to this work by shared authors, journal, and citation graph.

Sort by
Same author

Targeted DNA triplex-forming oligonucleotide liposome for pulmonary fibrosis gene therapy.

Cell reports. Medicine·2026
Same author

Nanogel-coated nanozymes for ulcerative colitis targeted treatment by restoring redox homeostasis and anti-inflammatory activity.

Colloids and surfaces. B, Biointerfaces·2026
Same author

Relative ordered structure evaluation of water-extracted polysaccharides from Morchella sextelata: Geographical origins and compositional elements.

International journal of biological macromolecules·2026
Same author

Development and structure-guided characterization of a novel ACE2-binding macrocyclic peptide.

Journal of structural biology: X·2026
Same author

Psychometric properties of the Mandarin Chinese self-reported Pediatric Quality of Life Inventory™ Version 4.0 Generic Core Scales in school adolescents: based on the Rasch and bifactor measurement methods.

BMC pediatrics·2026
Same author

Pd-N-C shelled Pd nanoparticle catalysts for high-performance hydrogen peroxide electrosynthesis.

Chemical science·2026

Related Experiment Video

Updated: Mar 10, 2026

An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field
06:52

An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field

Published on: May 26, 2020

8.7K

A New Continuous Rotation IMU Alignment Algorithm Based on Stochastic Modeling for Cost Effective North-Finding

Yun Li1, Wenqi Wu2, Qingan Jiang3

  • 1Department of Automatic Control, College of Mechatronics and Automation, National University of Defense Technology, Changsha 410073, China. liyun2009@nudt.edu.cn.

Sensors (Basel, Switzerland)
|December 17, 2016
PubMed
Summary

A new continuous rotation alignment algorithm improves Coriolis vibration gyroscope north-finding accuracy by enhancing Kalman filter estimation of gyro drift errors. This method achieves 0.1° accuracy, outperforming traditional alignment techniques.

Keywords:
Coriolis vibration gyroscopescontinuous rotation IMU alignmentcost effective north-findingstochastic modeling

More Related Videos

Magnetic Tweezers for the Measurement of Twist and Torque
11:41

Magnetic Tweezers for the Measurement of Twist and Torque

Published on: May 19, 2014

24.0K
Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

2.2K

Related Experiment Videos

Last Updated: Mar 10, 2026

An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field
06:52

An Inertial Measurement Unit Based Method to Estimate Hip and Knee Joint Kinematics in Team Sport Athletes on the Field

Published on: May 26, 2020

8.7K
Magnetic Tweezers for the Measurement of Twist and Torque
11:41

Magnetic Tweezers for the Measurement of Twist and Torque

Published on: May 19, 2014

24.0K
Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator
06:45

Design and Application of a Fault Detection Method Based on Adaptive Filters and Rotational Speed Estimation for an Electro-Hydrostatic Actuator

Published on: October 28, 2022

2.2K

Area of Science:

  • Inertial Navigation Systems
  • Sensor Signal Processing
  • Geophysics

Background:

  • Coriolis vibration gyroscopes are susceptible to noise, impacting north-finding accuracy.
  • Angle Random Walk (ARW), Rate Random Walk (RRW), and Markov process noises significantly affect gyroscope performance.
  • Traditional alignment methods like two-position and fixed-position have limitations in achieving high accuracy.

Purpose of the Study:

  • To propose a novel continuous rotation alignment algorithm for Coriolis vibration gyroscope Inertial Measurement Units (IMUs).
  • To enhance the estimation of gyro drift errors using extended observation equations within a Kalman filter.
  • To improve the overall north-finding accuracy of IMUs.

Main Methods:

  • Stochastic modeling of Coriolis vibration gyros using the Allan variance technique.
  • Development of a continuous rotation alignment algorithm incorporating extended observation equations in the Kalman filter.
  • Theoretical analysis and numerical simulations comparing the proposed algorithm with traditional methods.

Main Results:

  • The proposed algorithm demonstrates superior efficiency compared to traditional two-position alignment.
  • Experimental validation shows a north-finding accuracy of 0.1° (1σ) using Coriolis vibration gyros with 0.1°/h bias instability.
  • Achieved accuracy is significantly better than 0.6° (1σ) for two-position and 1° (1σ) for fixed-position alignment.

Conclusions:

  • The new continuous rotation alignment algorithm effectively enhances north-finding accuracy in Coriolis vibration gyros.
  • Utilizing extended observation equations in the Kalman filter is crucial for improving gyro drift error estimation.
  • The proposed method offers a significant advancement for high-precision north-finding applications.