Showing papers in "Mathematical and Computer Modelling in 1998"

TL;DR: In this paper, the bipotential method was applied to Coulomb's dry friction contact, which is shown in this paper by checking the cyclic monotony condition, and successfully applied to the contact law.

TL;DR: In this article, a boundary layer analysis has been presented for the problem of flow and heat transfer from a power-law fluid to a continuous stretching sheet with variable wall temperature, and a similarity transformation is applied to reduce the Navier-Stokes and energy equations, and the resulting system of nonlinear ordinary differential equations is solved using the expansion of Chebyshev polynomials.

TL;DR: This paper has studied the relationship in forecasting traffic volume between data characteristics and the forecasting accuracy of different models, particularly neural network models and shows that the time-delayed recurrent model outperforms other models in forecasting very randomly moving data described by a low Hurst exponent.

TL;DR: In this article, the authors find conditions on f that lead to the existence of at least three positive solutions to the three-point boundary value problem on C[0, 1] with the sup norm.

TL;DR: In this article, the mortar finite element method is applied to contact problems between two elastic bodies, allowing the use of no-matching grids and to glue different discretizations across the contact zone in an optimal way.

TL;DR: In this article, the Blasius equation of boundary layer flow is solved using the differential transformation method using the power series close-form solutions, and the results prove that the differential transform method is one of the powerful techniques for nonlinear problems.

TL;DR: In this article, a method is proposed to define geometrical contact constraints, where the contact parameters can be defined locally at the integration points, hence the method permits to integrate contact constitutive laws along contact segments.

TL;DR: This paper addresses a novel approach to use measurements from a single station to detect anomalies in traffic flow by using an extension to the McMaster incident detection algorithm as a baseline to detect traffic anomalies.

TL;DR: In this paper, two variational formulations are proposed and employed in order to decouple the linear problem of the electroelastic equilibrium of the piezoelectric body from the nonlinear contact problem via a condensation produce.

TL;DR: In this article, a new class of hyperbolic systems of conservation laws is proposed, and every system belonging to this class is thermodynamically compatible, i.e., is generated by one thermodynamic potential alone and has an additional conservation law as a consequence.

TL;DR: In this paper, the fractal geometry can be used as an adapted space for rough morphology in which roughness can be considered as a continuous but non-differentiable function and dimension D of this space is an intrinsic parameter to characterize the surface topography.

TL;DR: In this paper, some fixed-point theorems for weakly contractive operators are established for functional, differential, and integral equations, and these results are used to establish existence principles for functional and differential equations.

TL;DR: In this article, a finite element technique based on the virtual work principle is presented to handle frictional contact between bodies submitted to large deformations. But the originality lies in the fact that the contact conditions (Signorini's conditions and Coulomb friction law) are expressed at some integration points and not at the nodal points.

TL;DR: The paper provides a description of the TDNN architecture and training algorithm, and an overview of the LPC preprocessing and feature extraction technique as applied to audio monitoring of road traffic.

TL;DR: A description of how the CMI may be used in source localization, and calculations using previously ASA-fitted parameters in out-of-sample data are added, portraying neocortical interactions as having common algebraic or physics mechanisms that scale across quite disparate spatial scales and functional or behavioral phenomena.

TL;DR: In this article, a number of numerical methods developed in the group ''Mechanics and Modelling of Contact'' for solving frictional problems, are presented in the context of finite elastoplastic strains.

TL;DR: In this article, it is proved that uniqueness holds for the forward Cauchy problem for one-dimensional dynamics with impact, where the data of a closed interval K, a function f of time, position, and velocity, and a restitution coefficient e @? [0, 1], satisfies the ordinary differential equation u@? = f(t, u, u@?).

TL;DR: In this article, a Lagrange multiplier-based formulation for the finite element solution of the quasi-static two-body contact problem in the presence of finite motions and deformations is proposed.

TL;DR: In this article, the authors present aggregation methods for a system of ODE's involving two time scales, where the fast dynamics are assumed to be conservative and the corresponding first integrals define a few global variables.

TL;DR: In this article, the solution of the matrix Riccati equation with a terminal boundary condition is given by using the algebraic form of the Riccaci equation, and an illustrative example for the proposed method is given.

TL;DR: In this paper, the Timoshenko theory is applied to investigate a new mathematical model for the shoulder-elbow-like single flexible-link robot arm with dampings, and a new design of a fuzzy-logic-based (PI + D)^2 control scheme is developed for both vibration suppression and set-point tracking.

TL;DR: The experimental results obtained from MLP with different configurations and algorithms show that the bipolar continuous function possesses a wider range and a higher value of the learning rate than the unipolar continuous function.

TL;DR: In this article, sufficient conditions are derived for the permanence and existence of globally asymptitically stable in a two-species competitive system with feedback controls, and it is shown that the controls can save extinction of the species.

TL;DR: The results of the numerical examples indicated that the recurrent ANN can accurately capture the frontal crash characteristics of the impacting structures, and predict the crash performance of the same structures for any other crash scenario within the training limits.

TL;DR: Different residual based error estimators and error indicators relying on superconvergent properties are investigated and compared to discuss adaptive finite element techniques for contact problems in elasticity.

TL;DR: In this paper, the asymptotic distributions of the estimated Lyapunov exponents of discrete-time dynamical systems are studied and characterized based on the time series, and some new results under weak conditions are obtained.

TL;DR: This paper develops two heuristics and eight effective sequencing rules to assign the parts to the machines at both stages of a two-stage hybrid flowshop in a group technology environment and presents a model to examine the trade-offs between the costs and the speeds.

TL;DR: A brief treatment of the three forms of the formulation of the Dynamic Traffic Routing problem are included to show possible ways to design the controllers.

TL;DR: In this paper, a stress formulation for frictionless contact problems between deformable bodies is proposed, while the constitutive relations are supposed nonlinear, yet reversible, i.e., ruled by a convex strain potential.

TL;DR: This work studies the spatial heterogeneity effects on the amount of prey eaten per predator per unit time, when different time scales occur and shows that density dependent migrations make emerge new models on the total population level.