Numerical simulation of lowering operations from the coupling between the Composite-Rigid-Body Algorithm and the weak-scatterer approach

2021 ◽  
Vol 241 ◽  
pp. 109997
Author(s):  
Pierre-Yves Wuillaume ◽  
Aurélien Babarit ◽  
François Rongère ◽  
Mattias Lynch ◽  
Pierre Ferrant
Keyword(s):  
Numerical Simulation ◽  
Rigid Body

Utilizing the Effort/Motion Approach in the Simulation of Interconnected Rigid Body Systems

1997 ◽  
Author(s):  
N. Duke Perreira
Keyword(s):  
Numerical Simulation ◽  
Rigid Body ◽  
Multibody Systems ◽  
Invariant Form ◽  
Second Law ◽  
Orthogonal Projections ◽  
Gauge Invariant ◽  
Motion Equations ◽  
Newton's Second Law ◽  
Constraint Surface

Abstract The effort/motion approach has been developed for use in designing, simulating and controlling multibody systems. Some aspects of each of these topics are discussed here. In the effort/motion formulation two sets of equations based on the orthogonal projections of a dimensional gauge invariant form of Newton’s Second Law occur. The projections are onto the normal and tangent directions of a dimensional gauge invariant constraint surface. The paper shows how these equations are obtained for a particular linkage with redundant effort and motion actuation. Two alternative Runga-Kutta based approaches for numerical simulation of the effort/motion equations are developed and applied in simulating the motion and determining the effort generated in the example linkage under various conditions. Oscillation about equilibrium positions, solutions with constant motion and with constant effort are given as examples of the approach.

scholarly journals Numerical simulation of a moving rigid body in a rarefied gas

2015 ◽  
Vol 292 ◽  
pp. 239-252 ◽  
Author(s):  
Samir Shrestha ◽  
Sudarshan Tiwari ◽  
Axel Klar ◽  
Steffen Hardt
Keyword(s):  
Numerical Simulation ◽  
Rigid Body ◽  
Rarefied Gas

scholarly journals Euler’s Equations of Rigid Body: Its Control and Synchronization using Active Control and Recursive Backstepping methods.

2018 ◽  
Vol 5 (1) ◽  
Author(s):  
Cornelius Ogab ◽  
Babatunde Idowu ◽  
Abiola Ogungbe ◽  
Eugene Onori ◽  
Olufunmilayo Ometan ◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Steady State ◽  
Rigid Body ◽  
Active Control ◽  
Lyapunov Stability ◽  
Stability Theory ◽  
Lyapunov Stability Theory ◽  
Control Laws ◽  
Control And Synchronization ◽  
Methods Numerical

We present Euler’s Equation of Rigid Body, its control and synchronization using active control and recursive backstepping methods. Based on Lyapunov stability theory, control laws are derived to synchronize the chaotic system and also to control to a steady state as well as track to a desired function via recursive backstepping methods. Numerical simulation are shown to verify the results.

Study on Collision Damage Behavior of Ship

2012 ◽  
Vol 594-597 ◽  
pp. 2689-2692
Author(s):  
Yan Song Lü ◽  
Zhi Yuan Mei
Keyword(s):  
Numerical Simulation ◽  
Rigid Body ◽  
Elastic Body ◽  
Ship Structures ◽  
Damage Behavior ◽  
Relative Rigidity ◽  
Hull Structure ◽  
Ship Collision

Ship collision is a kind of dangerous accident which may result in serious damage of struck hull structure during shipping process. The damage of ship depends on the relative rigidity of striking ship and the capabilities of crash resistance of ship structures. The rigidity of bow is always considered as higher than that of side, so the structure of bow is regarded as rigid body. But this method is so conservative that the result of numerical simulation may be wrong when the rigidity of side of one ship is higher than that of bow of another ship. The process of collision of two ships is simulated, in which the structures of two ships are all defined as elastic body. The behavior of side is studied and some useful results are found.

Control Law Design Based on Geometric Algebra

2013 ◽  
Vol 347-350 ◽  
pp. 496-500 ◽  
Author(s):  
Bin Li ◽  
Qian Shou Liu ◽  
Di Min Wu ◽  
Zi Hui Zhang ◽  
Yang Ke Zhou
Keyword(s):  
Numerical Simulation ◽  
Rigid Body ◽  
Geometric Algebra ◽  
Attitude Control ◽  
Rigid Body Motion ◽  
Body Motion ◽  
Control Law ◽  
Lyapunov Theorem ◽  
Computational System ◽  
The Stability

A position and attitude control law is developed using geometric algebra (GA). GA is a powerful representational and computational system for geometry. The rigid body motion can be represented by the versor product in GA framework. Using the kinematics of the motor (the versor which represents the rigid body motion in GA), the control law of the rigid body motion can be developed. This paper provides a GA-based position and attitude control law by using the negative feedback of the motor. The stability of the control law is validated by the Lyapunov theorem and the numerical simulation.

Sign in / Sign up

Export Citation Format

Share Document