The stability of motion of an elongated rigid body of revolution in an elastoplastic medium with flow separation

2000 ◽  
Vol 64 (2) ◽  
pp. 299-307 ◽  
Author(s):  
I.V Simonov
Keyword(s):  
Rigid Body ◽  
Flow Separation ◽  
Elastoplastic Medium ◽  
Body Of Revolution ◽  
Stability Of Motion ◽  
The Stability

THE STABILITY OF MOTION OF A RIGID BODY ABOUT A FIXED POINT IN THE CASE OF EULER WITH VARIOUS DAMPING TORQUES

1988 ◽  
Vol 12 (3) ◽  
pp. 165-171
Author(s):  
Z.M. GE ◽  
M.H. WU
Keyword(s):  
Fixed Point ◽  
Rigid Body ◽  
Direct Method ◽  
Time Varying ◽  
Stability Of Motion ◽  
Fixed Orientation ◽  
Non Linear Systems ◽  
The Stability ◽  
Damping Torque ◽  
Liapunov's Direct Method

The stabilities of motion of a rigid body about a fixed point around a fixed orientation in space with damping torque are studied in thirteen cases. The problems involve stabilities of time-varying solutions of non-autonomous non-linear systems. By using Liapunov’s direct method, many interesting results are obtained.

Stability of a Rigid Body With an Oscillating Particle: An Application of MACSYMA

1985 ◽  
Vol 52 (3) ◽  
pp. 686-692 ◽  
Author(s):  
L. A. Month ◽  
R. H. Rand
Keyword(s):  
Angular Velocity ◽  
Rigid Body ◽  
Classical Problem ◽  
Moment Of Inertia ◽  
Model Parameters ◽  
Stability Chart ◽  
The Stability ◽  
Transition Curves ◽  
Minimum Moment ◽  
Small Angular Velocity

This problem is a generalization of the classical problem of the stability of a spinning rigid body. We obtain the stability chart by using: (i) the computer algebra system MACSYMA in conjunction with a perturbation method, and (ii) numerical integration based on Floquet theory. We show that the form of the stability chart is different for each of the three cases in which the spin axis is the minimum, maximum, or middle principal moment of inertia axis. In particular, a rotation with arbitrarily small angular velocity about the maximum moment of inertia axis can be made unstable by appropriately choosing the model parameters. In contrast, a rotation about the minimum moment of inertia axis is always stable for a sufficiently small angular velocity. The MACSYMA program, which we used to obtain the transition curves, is included in the Appendix.

Effect of riblets on the drag of a body of revolution with trailing-edge flow separation

1998 ◽  
Vol 33 (1) ◽  
pp. 135-139
Author(s):  
S. F. Konovalov ◽  
Yu. A. Lashkov ◽  
V. V. Mikhailov
Keyword(s):  
Flow Separation ◽  
Body Of Revolution ◽  
Trailing Edge ◽  
Edge Flow

Measurement of Angular Acceleration of a Rigid Body Using Linear Accelerometers

1975 ◽  
Vol 42 (3) ◽  
pp. 552-556 ◽  
Author(s):  
A. J. Padgaonkar ◽  
K. W. Krieger ◽  
A. I. King
Keyword(s):  
Experimental Data ◽  
Rigid Body ◽  
Simple Procedure ◽  
Three Dimensional ◽  
Angular Acceleration ◽  
Theory And Practice ◽  
Body Segments ◽  
Impact Biomechanics ◽  
The Stability ◽  
Definition Of

The computation of angular acceleration of a rigid body from measured linear accelerations is a simple procedure, based on well-known kinematic principles. It can be shown that, in theory, a minimum of six linear accelerometers are required for a complete definition of the kinematics of a rigid body. However, recent attempts in impact biomechanics to determine general three-dimensional motion of body segments were unsuccessful when only six accelerometers were used. This paper demonstrates the cause for this inconsistency between theory and practice and specifies the conditions under which the method fails. In addition, an alternate method based on a special nine-accelerometer configuration is proposed. The stability and superiority of this approach are shown by the use of hypothetical as well as experimental data.

scholarly journals On the Stability Analysis of a Coupled Rigid Body

2018 ◽  
Vol 09 (03) ◽  
pp. 210-222
Author(s):  
Olaniyi S. Maliki ◽  
Victor O. Anozie
Keyword(s):  
Stability Analysis ◽  
Rigid Body ◽  
The Stability
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