scholarly journals Numerical analysis of rotation of a rigid body subject to the sum of a constant and dissipative moment

2005 ◽  
pp. 209-213
Author(s):  
K. G. Tronin ◽  
Keyword(s):  
Numerical Analysis ◽  
Rigid Body ◽  
Body Subject

scholarly journals Numerical analysis of the drag on a rigid body in an immersed granular flow

2021 ◽  
Author(s):  
Nathan Coppin ◽  
Matthieu Constant ◽  
Jonathan Lambrechts ◽  
Frédéric Dubois ◽  
Vincent Legat
Keyword(s):  
Numerical Analysis ◽  
Rigid Body ◽  
Granular Flow

The Global Motion of a Rigid Body Subject to Periodic Body-Fixed Torques

1995 ◽  
Author(s):  
X. Tong ◽  
B. Tabarrok
Keyword(s):  
Rigid Body ◽  
Equations Of Motion ◽  
Melnikov Method ◽  
The Body ◽  
Body Motion ◽  
Heteroclinic Orbits ◽  
Coordinate Frame ◽  
Global Motion ◽  
Stable And Unstable Manifolds ◽  
Body Subject

Abstract In this paper the global motion of a rigid body subject to small periodic torques, which has a fixed direction in the body-fixed coordinate frame, is investigated by means of Melnikov’s method. Deprit’s variables are introduced to transform the equations of motion into a form describing a slowly varying oscillator. Then the Melnikov method developed for the slowly varying oscillator is used to predict the transversal intersections of stable and unstable manifolds for the perturbed rigid body motion. It is shown that there exist transversal intersections of heteroclinic orbits for certain ranges of parameter values.

Testing and Numerical Analysis of Elastoplastic Steel Column Impacted by Rigid Body

2011 ◽  
Vol 4 (8) ◽  
pp. 2951-2956
Author(s):  
Yuzhi He ◽  
Changyun Liu ◽  
Xiugen Jiang ◽  
Zhenhua Hou ◽  
Guangkui Zhang ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Rigid Body ◽  
Steel Column

Analytical Solutions for a Spinning Rigid Body Subject to Time-Varying Body-Fixed Torques, Part I: Constant Axial Torque

1993 ◽  
Vol 60 (4) ◽  
pp. 970-975 ◽  
Author(s):  
J. M. Longuski ◽  
P. Tsiotras
Keyword(s):  
Rigid Body ◽  
Equations Of Motion ◽  
Analytic Solutions ◽  
Axisymmetric Body ◽  
Attitude Motion ◽  
Time Varying ◽  
Torque Vector ◽  
Constant Torque ◽  
Symmetric Rigid Body ◽  
Body Subject

Analytic solutions are derived for the general attitude motion of a near-symmetric rigid body subject to time-varying torques in terms of certain integrals. A methodology is presented for evaluating these integrals in closed form. We consider the case of constant torque about the spin axis and of transverse torques expressed in terms of polynomial functions of time. For an axisymmetric body with constant axial torque, the resulting solutions of Euler’s equations of motion are exact. The analytic solutions for the Eulerian angles are approximate owing to a small angle assumption, but these apply to a wide variety of practical problems. The case when all three components of the external torque vector vary simultaneously with time is much more difficult and is treated in Part II.

Oscillation of a Net Panel With Bending Stiffness

2013 ◽  
Author(s):  
Østen Jensen ◽  
Lars Gansel ◽  
Martin Føre ◽  
Karl-Johan Reite ◽  
Jørgen Haavind Jensen ◽  
...  
Keyword(s):  
Numerical Analysis ◽  
Numerical Model ◽  
Rigid Body ◽  
Polyethylene Terephthalate ◽  
Oscillation Amplitude ◽  
Bending Stiffness ◽  
Oscillatory Motion ◽  
Product Certification ◽  
Net Cages ◽  
Oscillation Frequencies

The behaviour of net panels with bending stiffness is dependent on the stiffness and potentially also the density of the material when exposed to oscillatory motions. This needs to be taken into account when net cages are product certified according to NS9415 (Standard Norge 2009). Experiments using two different net panels with bending stiffness were conducted to investigate the behaviour of nets with bending stiffness in oscillatory motion. For low oscillation frequencies the panels moved in a close to rigid body manner. When the oscillation frequencies where increased, however, there was a distinct difference between the copper and the Polyethylene Terephthalate (PET) nets, with a significant increase in the resulting oscillation amplitude for the copper net and a decrease for the PET net. The proposed numerical model predicts this behaviour well in terms of oscillation amplitudes. It is, however, important to establish good estimates of the net panels bending stiffness in advance, particularly if product certification is the purpose of the numerical analysis.

COMPUTER CODE FOR THE IN-CLASS STUDY OF THE EQUILIBRIUM OF A RIGID BODY SUBJECT TO CONSTRAINTS

2019 ◽  
Author(s):  
Andrei Craifaleanu ◽  
Cristian Dragomirescu ◽  
Iolanda-Gabriela Craifaleanu
Keyword(s):  
Rigid Body ◽  
Computer Code ◽  
Body Subject
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