scholarly journals Two-Dimensional Discrete Model for Buckling of Helical Springs

2019 ◽  
Vol 24 ◽  
pp. 28-39 ◽  
Author(s):  
Francesco De Crescenzo ◽  
Pietro Salvini
Keyword(s):  
Discrete Model ◽  
Two Dimensional ◽  
Helical Springs

scholarly journals SUPERLOOP EQUATIONS AND TWO-DIMENSIONAL SUPERGRAVITY

1992 ◽  
Vol 07 (21) ◽  
pp. 5337-5367 ◽  
Author(s):  
L. ALVAREZ-GAUMÉ ◽  
H. ITOYAMA ◽  
J.L. MAÑES ◽  
A. ZADRA
Keyword(s):  
Partition Function ◽  
Discrete Model ◽  
Continuum Limit ◽  
Basic Assumption ◽  
Scaling Limit ◽  
Integrable Hierarchy ◽  
Two Dimensional ◽  
Virasoro Constraints ◽  
Double Scaling Limit ◽  
The Continuum

We propose a discrete model whose continuum limit reproduces the string susceptibility and the scaling dimensions of (2, 4m) minimal superconformal models coupled to 2D supergravity. The basic assumption in our presentation is a set of super-Virasoro constraints imposed on the partition function. We recover the Neveu-Schwarz and Ramond sectors of the theory, and we are also able to evaluate all planar loop correlation functions in the continuum limit. We find evidence to identify the integrable hierarchy of nonlinear equations describing the double scaling limit as a supersymmetric generalization of KP studied by Rabin.

THE FEASIBLE DOMAINS AND THEIR BIFURCATIONS IN AN EXTENDED LOGISTIC MODEL WITH AN EXTERNAL INTERFERENCE

2007 ◽  
Vol 17 (03) ◽  
pp. 877-889 ◽  
Author(s):  
EN-GUO GU
Keyword(s):  
Discrete Model ◽  
Logistic Model ◽  
Focal Point ◽  
Basins Of Attraction ◽  
Two Dimensional ◽  
External Interference ◽  
Feasible Set ◽  
Coexistence Of Attractors

This paper is devoted to the study of the properties of basins of attraction and the domains of feasible trajectories (discrete trajectories having an ecological sense) generated by a family of two-dimensional map T related to a discrete model of populations generation. The inverse of T has vanishing denominator giving rise to nonclassical singularities: a nondefinition line, a focal point and a prefocal line. Furthermore, the differences and relations between the feasible set, the feasible domains and the basins of attraction are presented. A phenomena of coexistence of attractors is shown. The structure of a chaotic repellor is interpreted by use of the singularities.

Quasisoliton states in a two-dimensional discrete model

1995 ◽  
Vol 52 (21) ◽  
pp. 15273-15278 ◽  
Author(s):  
A. La Magna ◽  
R. Pucci ◽  
G. Piccitto ◽  
F. Siringo
Keyword(s):  
Discrete Model ◽  
Two Dimensional

Using Discreet Models to Study Concussion and Analyze Passenger Head Response During Front-End Vehicle Collisions

2017 ◽  
Author(s):  
Peyman Honarmandi ◽  
Basil Khan ◽  
Alaa Barakat ◽  
Douglas Gordon
Keyword(s):  
Discrete Model ◽  
Degrees Of Freedom ◽  
Dimensional Space ◽  
Real Life ◽  
Two Dimensional ◽  
Vehicle Collisions ◽  
Runge Kutta Method ◽  
Front End ◽  
Dynamic Forces ◽  
A Minor

Head concussion and neck injury are often induced by an accident even in a minor collision. In this study, a discrete model of masses, springs, and dampers are considered which represent the components of a vehicle-passenger system. The vehicle accounts for 5 degrees of freedom (DOF) whereas the passenger contributes an additional 5 DOF. Differential equations that express the dynamic forces and moments acting upon each mass are developed and then solved numerically using Runge-Kutta method. The results were used to validate the use of such a model to accurately represent real life crash situations. The primary responses of the model are the magnitudes of acceleration experienced by various sections of the model and their relative displacements in two-dimensional space. Analyses were conducted at varying crash velocities and also with different model configurations. It was found that the behavior of the model corresponds well to previous studies and also to what one would intuitively expect at actual collision scene.

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