Results 21 to 30 of about 116 (113)

On the Četaev Condition for Nonholonomic Systems

AppliedMath
In the context of holonomic systems, the identification of virtual displacements is clear and consolidated. This provides the possibility, once the class of displacements have been coupled with Newton’s equations, for us to write the correct equations of
Federico Talamucci
doaj   +1 more source

Movement of a railway car rolling down a classification hump with a tailwind

MATEC Web of Conferences, 2018
The purpose of this paper is to calculate kinematic parameters of a railway car moving with a tailwind for designing a classification hump. The calculation of kinematic parameters is based on the d'Alembert principle, and the physical speed and distance ...
Turanov Khabibulla, Gordienko Andrey
doaj   +1 more source

A Matrix‐Free, Scalable, and Robust Implicit Material Point Method

International Journal for Numerical Methods in Engineering, Volume 127, Issue 14, 30 July 2026.
ABSTRACT An implicit material point method is presented using a new dynamic relaxation solver, allowing for a simple and efficient quasi‐static formulation that may be readily implemented in existing explicit‐dynamic codes. The use of dynamic relaxation and aggregation is shown to produce an extremely robust material point method scheme, with good ...
Sam J. V. Sutcliffe, William M. Coombs, Wangcheng Zhang, Ravindra Duddu, Giuliano Pretti, Charles E. Augarde   +5 more
wiley   +1 more source

Nonlinear Vibration Characteristic Analysis of Electric Vehicle–Road Coupling System

International Journal of Mechanical System Dynamics, Volume 6, Issue 2, Page 267-281, June 2026.
ABSTRACT In‐wheel motor drive is the developing direction of automobile electrification and intelligence. However, the increased unsprung mass in in‐wheel motor‐driven electric vehicles (IWMEVs) leads to higher dynamic tire loads, thereby intensifying vehicle–road coupling interactions. To address this problem, an 11‐degree‐of‐freedom nonlinear dynamic
Guizhen Feng, Shaohua Li, Xuewei Wang
wiley   +1 more source

Counting Degrees of Freedom: A Method Applicable From Scalars to f(Q)$f(\mathbb {Q})$ Gravity and Beyond

Fortschritte der Physik, Volume 74, Issue 6, June 2026.
ABSTRACT We present a clear, step‐by‐step method for counting degrees of freedom and identifying constraints in general field theories. This approach, grounded in the works of Einstein, Hilbert, Cartan, Kuranishi, and, more recently, Seiler, is neither Lagrangian nor Hamiltonian in nature. Instead, it applies directly to the field equations. We offer a
Lavinia Heisenberg
wiley   +1 more source

On the Stability of Trigonometric Functional Equations

Advances in Difference Equations, 2007
The aim of this paper is to study the superstability related to the d'Alembert, the Wilson, the sine functional equations for the trigonometric functional equations as follows: .
Kim GwangHui
doaj  

An Extension of a Formula of F. S. Rofe-Beketov

Mathematics
We address the following problem in this study: given a nontrivial solution, y1, of a four-coefficient Sturm–Liouville eigenvalue differential equation, construct a second solution, y2, linearly independent of y1.
Fritz Gesztesy, Roger Nichols
doaj   +1 more source

Topographical Features of the Lunar Surface Unveiled Through Spherical Geodesic Triangulation Analysis Method of DEM Roughness at Equal Spatial Scales

Earth and Space Science, Volume 13, Issue 4, April 2026.
Abstract This study introduces an innovative method using equal spherical geodesic triangulation to uniformly sample the digital elevation model (DEM) of the lunar surface, ensuring an even distribution of elevation data. Utilizing spherical spline fitting, we have proposed new methods for calculating slope angles and aspects. An equilateral triangular
Zhengfeng Zhang, Lei Chen, Huai Zhang, Yaolin Shi   +3 more
wiley   +1 more source

The Social Truth of Schopenhauer's ‘Metaphysics of Pity’: Compassion and Critical Theory

European Journal of Philosophy, Volume 34, Issue 1, Page 79-95, March 2026.
Abstract Taking Horkheimer and Adorno's account of pity in the Dialectic of Enlightenment as my starting point, I show that Schopenhauer's compassion‐based moral theory exemplifies key elements of this account. In particular, this moral theory will be shown to possess a social truth for Horkheimer and Adorno because it is an expression of a wrong ...
David James
wiley   +1 more source

Modified Central Difference Method for Negative Stiffness SDoF System Under Ground Seismic Excitation

The Structural Design of Tall and Special Buildings, Volume 35, Issue 2, February 2026.
ABSTRACT The present paper deals with the analytical and numerical solution of the motion equation of a single degree of freedom (SDoF) oscillator with damping and negative stiffness (NS) due to seismic excitation at its base. The resulting solution shows that the structure's response displacement increases exponentially; thus, practically, there is no
Nikoleta Chatzikonstantinou, Triantafyllos Makarios   +1 more
wiley   +1 more source