Search research articles

ABOUT JoVE

Overview Leadership Blog JoVE Help Center

AUTHORS

Publishing Process Editorial Board Scope & Policies Peer Review FAQ Submit

LIBRARIANS

Testimonials Subscriptions Access Resources Library Advisory Board FAQ

RESEARCH

JoVE Journal Methods Collections JoVE Encyclopedia of Experiments Archive

EDUCATION

JoVE Core JoVE Business JoVE Science Education JoVE Lab Manual Faculty Resource Center Faculty Site

Terms & Conditions of Use

Related Concept Videos

Equation of Motion for a Rigid Body

Equation of Motion for a Rigid Body

The movement of a rigid object can be understood through the equations that explain both translational and rotational motion about the center of mass of the object, point G. This center of mass is the point where the equation of motion for translational motion comes into play, as per Newton's Second Law.
The combined moments generated about the center of mass of the object are equal to the rate of change of the angular momentum of the body. An external force, when applied at a different...

Euler Equations of Motion

Euler Equations of Motion

Imagine a rigid body that is rotating at an angular velocity of ω within an inertial frame of reference. Along with this, picture a second rotating frame that is attached to the body itself. This frame moves along with the body and possesses an angular velocity of Ω. The total moment about the center of mass is calculated by adding the rate of change of angular momentum about the center of mass in relation to the rotating frame and the cross-product of the body's angular velocity...

Euler's Equations of Motion

Euler's Equations of Motion

In fluid mechanics, shear stresses arise from viscosity, which represents a fluid's internal resistance to deformation. For low-viscosity fluids, like water, these stresses are minimal, simplifying flow analysis by allowing the fluid to be treated as inviscid, or frictionless. In an inviscid fluid, shear stresses are absent, leaving only normal stresses, which act perpendicularly to fluid elements. Notably, pressure — defined as the negative of the normal stress — remains...

Relative Motion Analysis using Rotating Axes

Relative Motion Analysis using Rotating Axes

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...

Relative Motion Analysis using Rotating Axes-Problem Solving

Relative Motion Analysis using Rotating Axes-Problem Solving

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...

Kinematic Equations for Rotation

Kinematic Equations for Rotation

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...

You might also read

Related Articles

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

Sort by

Same author

A prospective randomized comparison of early embryo cleavage kinetics between two media culture systems.

Pakistan journal of medical sciences·2017

Same author

Transcript profile analysis reveals important roles of jasmonic acid signalling pathway in the response of sweet potato to salt stress.

Scientific reports·2017

Same author

Pnserpin: A Novel Serine Protease Inhibitor from Extremophile Pyrobaculum neutrophilum.

International journal of molecular sciences·2017

Same author

The OsHAPL1-DTH8-Hd1 complex functions as the transcription regulator to repress heading date in rice.

Journal of experimental botany·2017

Same author

Spliced leader-based analyses reveal the effects of polycyclic aromatic hydrocarbons on gene expression in the copepod Pseudodiaptomus poplesia.

Aquatic toxicology (Amsterdam, Netherlands)·2017

Same author

DNA barcoding species in Alexandrium tamarense complex using ITS and proposing designation of five species.

Harmful algae·2017

Same journal

Peripheral B-cell receptor repertoire predicts immune-related adverse events following immune checkpoint inhibitor therapy in advanced renal cell carcinoma.

Scientific reports·2026

Same journal

Effects of black soldier fly (Hermetia illucens L.) larvae zoocompost on the mineral element content of blue honeysuckle berries.

Scientific reports·2026

Same journal

Investigation on absorption refrigeration performance of R1243zf with imidazolium ionic liquid as the working pairs.

Scientific reports·2026

Same journal

DeepTriage-CN: integrating clinical text with vital signs for emergency department admission prediction in an aging population.

Scientific reports·2026

Same journal

Gold nanoparticles as dual-action antiviral agents: disruption of SARS-CoV-2 viral envelopes and RNA integrity.

Scientific reports·2026

Same journal

Comparison of capillary microsampling and venous blood for multi-pathogen serosurveillance.

Scientific reports·2026

See all related articles

Search research articles

Related Experiment Video

Updated: May 9, 2025

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle

Published on: January 30, 2019

Dynamic analysis of rigid-flexible coupling spacecraft based on Euler parameters.

Yi Ji^1,2,3, Huan Zhang⁴

¹School of Astronautics, Harbin Institute of Technology, Harbin, 150001, China.

Scientific Reports

|May 3, 2025

Summary

This summary is machine-generated.

This study introduces a new numerical method for analyzing spacecraft dynamics. The BN-stable method, enhanced for rigid-flexible coupling, offers superior accuracy and stability for complex aerospace simulations.

Keywords:

BN-stability Dynamic analysis Euler parameters Rigid-flexible coupling Rotation matrix

More Related Videos

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

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

Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques

Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques

Published on: October 20, 2023

Related Experiment Videos

Last Updated: May 9, 2025

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle

Structural Design and Manufacturing of a Cruiser Class Solar Vehicle

Published on: January 30, 2019

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

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

Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques

Author Spotlight: Development of a Novel Finite Element Analysis Model for Improved Orthognathic Surgical Techniques

Published on: October 20, 2023

Area of Science:

Aerospace Engineering
Computational Mechanics
Nonlinear Dynamics

Background:

Modern spacecraft feature complex rigid-flexible coupling, posing significant challenges for dynamic analysis.
Existing numerical tools struggle with the strong nonlinearity inherent in these systems.

Purpose of the Study:

To develop an accurate and efficient numerical method for analyzing the dynamic behavior of rigid-flexible coupling spacecraft.
To address the limitations of current tools in handling highly nonlinear dynamic systems.

Main Methods:

Described rigid and flexible bodies using Euler parameters to avoid singular angles.
Applied a reformulated BN-stable method, ensuring unconditional stability for nonlinear initial value problems.
Incorporated angular velocity-Euler parameter relations and velocity-level constraints to maintain numerical rotation matrix accuracy.

Main Results:

The proposed strategy effectively simulates the dynamic responses of spacecraft, including rigid bodies and flexible solar wings.
Demonstrated considerable advantages in accuracy, stability, and dissipation compared to existing popular strategies.
Validated the enhanced BN-stable method for transient response analysis of nonlinear systems.

Conclusions:

The reformulated BN-stable method provides a robust and accurate solution for analyzing rigid-flexible coupling spacecraft dynamics.
This approach overcomes key challenges associated with strong nonlinearity in aerospace simulations.
Offers a significant improvement over conventional methods for spacecraft dynamic analysis.