Analyzing the Stability of a Connected Moving Cart on an Inclined Surface with a Damped Nonlinear Spring DOI Creative Commons
Muneerah Al Nuwairan, T. S. Amer,

W. S. Amer

et al.

Axioms, Journal Year: 2024, Volume and Issue: 13(9), P. 596 - 596

Published: Aug. 31, 2024

This paper examines the stability behavior of nonlinear dynamical motion a vibrating cart with two degrees freedom (DOFs). Lagrange’s equations are employed to establish mechanical regulating system examined motion. The proposed approximate solutions (ASs) this estimated through use multiple-scales method (MSM). These considered novel as MSM is being applied new model. Secular terms have been eliminated meet solvability criteria, and every instance resonance that arises categorized, where them concurrently. Therefore, modulation developed based on representations unknown complex function in polar form. for steady state calculated using corresponding fixed points. achieved displayed graphically illustrate impact manipulating system’s parameters compared numerical (NSs) original equations. comparison shows great deal consistency solution, which indicates accuracy method. criteria Routh–Hurwitz assess instability zones. value model exhibited by its wide range applications involving ship motion, swaying architecture, transportation infrastructure, rotor dynamics.

Language: Английский

Optimizing stability and characteristics of a vibrating rigid body pendulum with energy harvesting device DOI Creative Commons
T. S. Amer, Ayman Wahba,

A. F. Abolila

et al.

Journal of low frequency noise, vibration and active control, Journal Year: 2025, Volume and Issue: unknown

Published: Jan. 14, 2025

The focus of this paper is on reducing vibrations and capturing energy from a three degrees-of-freedom (3DOF) dynamical system. system consists damped spring-pendulum with an elliptical pivot path at constant angular velocity connected rigid body experiencing external harmonic forces moments. An independent electromagnetic harvesting has been integrated into the structure, utilizing motion magnet within coil. optimization efforts target both (EH) vibration reduction capabilities. second kind Lagrange’s equations are used to formulate governing kinematic equations, which then solved asymptotically using multiple-scales technique (MST), producing novel precise results up third approximation. Various resonance cases identified, examined concurrently. time evolution solutions, as well modified phases amplitudes, analyzed through graphical representations, taking account influential parameters Graphical plots phase portraits successfully depicted system’s stable dynamics. power output current profiles device presented demonstrate impact various behavior. Analysis stability instability areas reveals that exhibits performance across wide range parameters. This model gaining significance in contemporary applications, especially control sensors sectors such industry, construction, automotive, transportation, infrastructure.

Language: Английский

Citations

0
Dynamics and non-integrability of the variable-length double pendulum: Exploring chaos and periodicity via the Lyapunov refined maps DOI
Wojciech Szumiński, Tomasz Kapitaniak

Journal of Sound and Vibration, Journal Year: 2025, Volume and Issue: unknown, P. 119099 - 119099

Published: April 1, 2025

Language: Английский

Citations

0
Towards Nonlinear Magnetic Rotating Pendula for Low-Frequency Weak Vibration Energy Harvesting DOI Creative Commons

Mihai Trandafir,

Panagiotis Alevras

Energies, Journal Year: 2025, Volume and Issue: 18(8), P. 2058 - 2058

Published: April 17, 2025

Energy harvesting from ambient vibrations has received significant attention as an alternative renewable, clean energy source for microelectronic devices in diverse applications such wearables and environmental monitoring. However, typical remote environments exhibit ultra-low frequencies with variations uncertainty leading to operation away resonance severe underperformance terms of power output. Pendulum-based harvesters offer a promising solution these issues, particularly when designed parametric resonant response driven displacement the pendulum pivot. Parametric excitation been shown trigger fast rotational motion VEH that is beneficial generation necessary space utilization. Nevertheless, low-frequency typically come at very weak amplitudes, fact establishes design barriers traditional gravitational pendula are used rotary harvesting. In this paper, we propose novel concept utilizes permanent magnet arrays establish dynamics. Extensive investigation restoring torque proposed magnetic conducted analytical tools FEA verification. The resulting oscillator exhibits frequency tuning decoupled gravity adjustable via circularly arranged fields, increased flexibility concurrently amplitude tuning. Numerical integration nondimensional equation performed system’s parameter identify impact on regions triggering excitation. Finally, theoretical case study numerically investigated device constrained within 20 cm3, showing multi-fold improvement achieved density over 600 μW/cm3/g2/Hz broad range driving amplitudes low 1.1 Hz 0.2 g.

Language: Английский

Citations

0
Analyzing the Stability of a Connected Moving Cart on an Inclined Surface with a Damped Nonlinear Spring DOI Creative Commons
Muneerah Al Nuwairan, T. S. Amer,

W. S. Amer

et al.

Axioms, Journal Year: 2024, Volume and Issue: 13(9), P. 596 - 596

Published: Aug. 31, 2024

This paper examines the stability behavior of nonlinear dynamical motion a vibrating cart with two degrees freedom (DOFs). Lagrange’s equations are employed to establish mechanical regulating system examined motion. The proposed approximate solutions (ASs) this estimated through use multiple-scales method (MSM). These considered novel as MSM is being applied new model. Secular terms have been eliminated meet solvability criteria, and every instance resonance that arises categorized, where them concurrently. Therefore, modulation developed based on representations unknown complex function in polar form. for steady state calculated using corresponding fixed points. achieved displayed graphically illustrate impact manipulating system’s parameters compared numerical (NSs) original equations. comparison shows great deal consistency solution, which indicates accuracy method. criteria Routh–Hurwitz assess instability zones. value model exhibited by its wide range applications involving ship motion, swaying architecture, transportation infrastructure, rotor dynamics.

Language: Английский

Citations

0