Results 91 to 100 of about 4,813,044 (315)

A Geometric Interpretation for the Algebraic Properties of Second‐Order Ordinary Differential Equations

Mathematical Methods in the Applied Sciences, Volume 48, Issue 6, Page 6912-6917, April 2025.
ABSTRACT Nowadays, a substantial portion of investigations concerning the symmetry analysis of differential equations predominantly adhere to a framework comprising the following key procedures: (i) the derivation of symmetries, (ii) the determination of an optimal system, (iii) the utilization of these symmetries to construct invariants or ...
A. Paliathanasis, S. Moyo, P. G. L. Leach   +2 more
wiley   +1 more source

Safe Control of a Reaction Wheel Pendulum Using Control Barrier Function

IEEE Access, 2020
This paper presents a safe control applied to a reaction wheel pendulum, assuring that the system satisfies stability objectives and safety constraints.
Caio Igor Goncalves Chinelato, Gabriel Pereira Das Neves, Bruno Augusto Angelico   +2 more
doaj   +1 more source

Nonlinear Dynamics of a Passive Walker: Bifurcation and Stability Insights With Spring and Damper Mechanics

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT This study explores the nonlinear dynamics associated with a passive dynamic walker (PDW), focusing on the bifurcation and stability insights derived from spring and damper mechanics. PDWs, which rely on gravity for stable locomotion without active control, exhibit a rich spectrum of behaviors, from periodic to chaotic motion.
Zhongqu Xie, Xue Gong, Qidi Fu, Pierluigi Arpenti, Shichao Zhou, Anhua You, Xiaolong Yang, Lingkun Chen, Yulin Wang   +8 more
wiley   +1 more source

Solution for a rotational pendulum system by the Rach–Adomian–Meyers decomposition method

Nonlinear Engineering, 2022
In this article, we report for the first time the application of a novel and extremely valuable methodology called the Rach–Adomian–Meyers decomposition method (MDM) to obtain numerical solutions to the rotational pendulum equation.
González-Gaxiola O., Rach Randolph, Ruiz de Chávez Juan   +2 more
doaj   +1 more source

Single Smooth Waveform Command‐Shaping Control of Overhead Crane Systems Utilizing Two‐Stage Acceleration–Deceleration Profile for Short‐Moving Point‐to‐Point Maneuver

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT Modern industrial demand for efficient material handling in confined spaces has driven the need for overhead cranes capable of short‐distance point‐to‐point maneuvers without compromising payload stability. Conventional three‐stage shaper profiles, experiencing acceleration, cruising, and deceleration, become inefficient or infeasible for ...
Mohammed Alfares, Jasem Baroon, Khaled Alhazza   +2 more
wiley   +1 more source

Fourier analysis of nonlinear pendulum oscillations

Revista Brasileira de Ensino de Física
Since the times of Galileo, it is well-known that a simple pendulum oscillates harmonically for any sufficiently small angular amplitude. Beyond this regime and in absence of dissipative forces, the pendulum period increases with amplitude and then it ...
Inderpreet Singh, Palakkandy Arun, Fabio Lima   +2 more
doaj   +1 more source

Robust Linearization and Eigenvalue Analysis of General Complex Constrained Multibody Systems

International Journal of Mechanical System Dynamics, EarlyView.
ABSTRACT The derivation of linearized equations and subsequent eigenvalue analysis is the basis for tasks such as frequency‐domain response analysis, control design, and stability assessment for mechanical systems. However, for general multibody systems with redundant or nonholonomic constraints, practical challenges persist in achieving numerically ...
Zhiwen Xiao, Gexue Ren
wiley   +1 more source

Negative Stiffness Induced and Controlled by Constriction

physica status solidi (b), EarlyView.
Structures with negative stiffness can be stabilized by constriction of external displacement. Furthermore, constriction can make a conventional positive stiffness material exhibit negative stiffness, either bidirectional or unidirectional (shown in the figure).
Elena Pasternak, Arcady V. Dyskin
wiley   +1 more source

Adaptive Sliding Mode Control Design for Interval Type‐2 T–S Fuzzy Systems With Time Delay: An Event‐Triggered Approach

International Journal of Robust and Nonlinear Control, EarlyView.
ABSTRACT In this work, a new event‐triggered adaptive first‐order sliding mode control method is proposed for nonlinear systems with constant time delays, modeled by interval type‐2 Takagi–Sugeno (T–S) fuzzy systems. To handle matched disturbances with unknown upper bounds, a non‐overestimating adaptation strategy for the control coefficient is ...
Rodrigo Possidonio Noronha, Ginalber L. O. Serra   +1 more
wiley   +1 more source

On approximate analytical solutions of transcendental equations [PDF]

Revista Brasileira de Ensino de Física
In this paper, we provide a simple method to analytically solve general problems in science and engineering, which involve transcendetal functions. To validate the technique, we first compared our results to the exact solutions of two well-known problems,
Regiane Aparecida Ragi Pereira, Adelcio M. de Souza, Murilo A. Romero   +2 more
doaj   +1 more source