Stability of Car Trailer Systems With Special Regard to Trailer Design

1974 ◽  
Vol 96 (2) ◽  
pp. 236-243 ◽  
Author(s):  
R. L. Collins ◽  
J. P. Wong
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Linear Stability ◽  
Linear Stability Analysis ◽  
Moment Of Inertia ◽  
Tire Pressure ◽  
Special Regard ◽  
Articulated Vehicle ◽  
The Mathematical Model ◽  
Solution Techniques

A linear stability analysis is performed on the articulated vehicle to provide information on the effects that various trailer parameters and variations in tire pressure have on the inherent towing stability of the typical car-trailer combination. Although certain portions of the mathematical model and solution techniques are similar to some previous efforts, the results are generalized to include a much larger class of vehicles than previously presented. The results indicate that hitch loading, trailer length, mass and moment of inertia, and fairly small variations in the car tire pressures can influence trailer towing stability.

STABILITY OF A GENERAL DELAY DIFFERENTIAL MODEL OF THE HYPOTHALAMO-PITUITARY-ADRENOCORTICAL SYSTEM

2006 ◽  
Vol 16 (10) ◽  
pp. 3079-3085 ◽  
Author(s):  
DANKA SAVIĆ ◽  
SMILJANA JELIĆ ◽  
NIKOLA BURIĆ
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Stress Response ◽  
Linear Stability ◽  
Hpa Axis ◽  
Linear Stability Analysis ◽  
Asymptotically Stable ◽  
Differential Model ◽  
Delay Differential ◽  
Adrenocortical System

Most of the systems in an organism (human included) function in a regular daily rhythm. Hypothalamo-pituitary-adrenocortical (HPA) axis, although mostly known for its role in stress response, probably has a role in conveying rhythmic signals from the major pacemaker, suprachiazmatic nucleus (SCN), to the periphery. A general qualitative nonphenomenological mathematical model of the HPA axis is constructed and its dynamics is examined using linear stability analysis and Roushe's theorem. The results show that this system is asymptotically stable, i.e. it does not generate circadian oscillations, but only responds to the external pacemaker.

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