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49 articles for “Stability equations”
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Attitude Determination using Extended Kalman Filter for Elliptical Orbit Satellites
Abstract: This paper investigates the influence of eccentricity on the performance of the attitude determination and control subsystem (ACDS) pointing of passive low earth orbit (LEO) satellites stabilized by a gravity-gradient boom. The contribution of this work is two-fold. First, satellite attitude dynamics and kinematics are modeled by introducing the orbit eccentricity in the equation of motion of an LEO satellite in order to provide the best scenarios in which satellite …
Published in Journal of Aerospace Engineering & Technology · Vol. 4, Issue 2, 2014 · pp. 1–8 Read article
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Numerical Model for Water Hammer in Homogeneous Equilibrium Two Phase Fluid
Abstract: Generally, water hammer can occur in any thermal-hydraulic systems. Rapid closing or opening of a valve causes pressure transients due to the sudden transformation of kinetic energy into the potential energy. The resulting high pressure surge upstream of the valve leads to the temporary increase in pressure. If the increased pressure surpasses the safety margin for the pipe, it can lead to failure of the pipeline. A mathematical model is …
Published in Journal of Nuclear Engineering & Technology · Vol. 4, Issue 3, 2014 · pp. 29–43 Read article
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Thermogravimetric and crystallinity studies of ER/PS blends
Abstract: Thermoplastic elastomeric blends of polystyrene (PS) and exudated resin (ER) were prepared by solution casting technique. The decomposition behavior of these blends was studied by thermogravimetric analysis. The effect of blend ratio and cross linking on the thermal behavior of ER/PS blend system was studied. An enhancement in thermal stability was observed by the addition of ER into polystyrene. The activation energy of degradation was calculated by using Horowitz-Metzger equation. …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 5, Issue 1, 2014 · pp. 28–33 Read article
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Dynamics of Prey Predator Model with Harvesting of Prey
Abstract: In this paper we studied the dynamics of prey-predator model with Holling type-II response. The predator is generalist type and can sustain in absence of prey. In addition to that a constant harvesting effort is induced in the prey species. The model is characterized by a couple of differential equations. The well posed ness of the model is established. The system is bounded, exhibits positive solutions and persistence. The possible …
Published in Research & Reviews : Journal of Ecology · Vol. 12, Issue 3, 2023 · pp. 24–33 Read article
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Mathematical Analysis and Stability Analysis of Coupled Orbital–Attitude Dynamics for Autonomous Spacecraft under Perturbative Forces
Abstract: Autonomous spacecraft operating in Earth orbit are subjected to coupled translational and rotational dynamics influenced by gravitational and environmental perturbations. Accurate mathematical characterization of these interactions is essential for trajectory prediction, attitude stabilization, autonomous navigation, and mission reliability. This study develops a nonlinear mathematical framework for coupled orbital–attitude dynamics of an autonomous spacecraft under perturbative forces. The translational dynamics are formulated using the two-body gravitational model augmented by the second …
Published in Research & Reviews : Journal of Space Science & Technology · Vol. 15, Issue 2, 2026 Read article
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Variable Mass of a Test Particle in Copenhagen Problem with Manev-Type Potential
Abstract: AbstractThis study deals the behavior of the motion of a test particle (third body) in the special case of the circular restricted three-body problem when the mass of the test particle varies according to Jeans law and also considered that the equal mass of the primaries generates the Manev-type potentials. This special case of a restricted problem is known as the Copenhagen problem. We derive the equations of motion of …
Published in Research & Reviews : Journal of Physics · Vol. 9, Issue 1, 2020 · pp. 17–27 Read article
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Mathematical Analysis of prey-predator model
Abstract: In this paper we considered a model with a prey and predator involve holling type -II functional response. The predator species is not only dependent on prey species but also have alternative food source. The mathematical model is characterized by the couple of differential equations. The model is well posed and possess positive solutions. The system is bounded and shows the property of permeance. The possible equilibrium points are identified. …
Published in Research & Reviews : Journal of Statistics · Vol. 12, Issue 3, 2023 · pp. 1–10 Read article
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Modelling and Control of Grid-Connected PV–Battery Hybrid System Using Dynamic Voltage Restorer for Enhanced Power Quality
Abstract: The integration of large-scale photovoltaic (PV) systems into modern power grids introduces significant challenges in maintaining power quality, including voltage sags, swells, and harmonics. To address these issues, this study presents a comprehensive modelling and control framework for a grid-connected PV–Battery hybrid system equipped with a Dynamic Voltage Restorer (DVR). The PV array is modelled using detailed mathematical equations, while the DC–DC converter incorporates advanced Maximum Power Point Tracking (MPPT) …
Published in International Journal of Electrical Power and Machine Systems · Vol. 3, Issue 2, 2025 · pp. 43–58 Read article
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Comparative analysis of with and without P-∆ effect on plan irregular RC structure with different positions of shear wall
Abstract: P-∆ effect is the second order analysis method which is cause due to wind or seismic effect. This secondary effect causes the geometric non-linearity in structure. For high rise structure the P-∆ effect plays the significant role on the building stability because in lots of cases it has been found that failure of tall building is a function of slenderness of building members and second order effect. In P-∆ analysis, …
Published in Journal of Structural Engineering and Management · Vol. 9, Issue 2, 2022 · pp. 24–32 Read article
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Synthesis, Characterization and Applications of Poly (2-Methyl Aniline-co-2-Chloro Aniline) and Poly (2-Methyl Aniline-co-2-Chloro Aniline)-Nanocomposite-CuO
Abstract: The copolymer and its composite, poly (2-methyl aniline-co-2-chloro aniline) and poly (2-methyl aniline-co-2-chloro aniline)-nanocomposite-CuO respectively were synthesized by chemical oxidative polymerization method using ammonium persulphate as oxidant, sodium lauryl sulphate as surfactant and HCl as dopant. The synthesized copolymer and composite were characterized by FTIR, UV-Visible and 1H NMR spectroscopy. The thermal stability was determined by TGA/DTA. The copolymer and copolymer nanocomposite with CuO were found to be thermally more …
Published in Journal of Modern Chemistry & Chemical Technology · Vol. 7, Issue 3, 2016 · pp. 35–45 Read article
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Complex Space-Time and the Structure of Relativistic Quantum Theory
Abstract: Relativistic quantum mechanics was developed to reconcile the principles of quantum mechanics with Einstein’s theory of relativity. Despite its success in describing high-energy particles, the theory continues to face unresolved conceptual and mathematical difficulties, particularly in relation to the nature of time, causality, and relativistic consistency. In recent years, the idea of extending space-time into the complex domain has emerged as a useful and potentially meaningful approach to these problems. …
Published in Recent Trends in Mathematics · Vol. 3, Issue 1, 2026 · pp. 22–27 Read article
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STUDY OF SMALL SIGNAL DISTUBANCES IN MULTI MACHINE POWER SYSTEM USING MATLAB
Abstract: The distance of electricity transmission gets longer and longer, and capacity is also increasing, the voltage level by transport is becoming more and higher, while the stability problem of power system is more and more prominent. If the power system's stability is destroyed, it can cause a very serious problem. This report describes the computational technique used to solve the large and complex mathematical problem in an easier and convenient …
Published in Journal of Industrial Safety Engineering · Vol. 6, Issue 1, 2019 · pp. 36–66 Read article
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Research Paper A Review of Symmetry in Mechanical Systems: Theoretical Systems Foundations and Engineering Applications
Abstract: In mechanical system analysis and design, symmetry is of mechanical systems. This article examines the idea of symmetry in mechanical systems, exploring its mathematical foundations (such as Lie algebras and group theory) and how these ideas help explain the behavior, stability, and control of the system. We explore the applications of symmetry in a range of mechanical systems, from basic mechanical connections to intricate multi-body dynamics, emphasizing the benefits of …
Published in Emerging Trends in Symmetry · Vol. 1, Issue 1, 2025 · pp. 15–19 Read article
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Study of Heat Transfer in a Time Dependent Vertically Oscillating Micropolar Liquid
Abstract: AbstractThe study involves the vertical time periodic vibration of the system. This leads to the appearance of a modified gravity term in basic equation, collinear with actual gravity, in the form of a time-periodic field perturbation and is termed as gravity modulation or g-jitter in the literature. The aim of this study is to find the effect of small amplitude of gravity modulation on the onset of thermal convection between …
Published in Recent Trends in Fluid Mechanics · Vol. 5, Issue 1, 2018 · pp. 63–74 Read article
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The Theoretical and Experimental Study of the Behavior of Gas Bubbles in the Effects of Vibration in the Conditions of Impact of Aircraft’s Overloads and Weightlessness
Abstract: The study of the dynamic behavior of gas bubbles in the fluid and the control by the gas phase in the conditions, close to weightlessness, using the different types of the vibration are important for solving the number of the technological problems, connected to the needs of space technology (degassing special fluids and fuel). The task of the theoretical description of vibration impact on the air bubbles in the fluid …
Published in Journal of Aerospace Engineering & Technology · Vol. 9, Issue 2, 2019 · pp. 40–49 Read article
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Study of Proximity Points and Fixed Points
Abstract: This paper explores the concepts of proximity points and fixed points, which are fundamental in mathematical analysis and nonlinear functional analysis. Fixed-point theorems play a crucial role in optimization, game theory, differential equations, and dynamic systems. Proximity points, an extension of fixed points, provide a more generalized approach, allowing near-coincidence rather than exact identity. The study discusses classical fixed-point theorems, such as Banach’s contraction principle, Brouwer’s fixed-point theorem, and Schauder’s …
Published in Recent Trends in Mathematics · Vol. 1, Issue 2, 2024 · pp. 28–31 Read article
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New Methods for the Prediction of Multiphase Flow through Wellhead Choke in Gas-Condensate Reservoirs
Abstract: Abstract The wellhead chokes are installed in order to stabilize oil and gas flow rates in production and operation disciplines. Most of the existing empirically derived correlations and predictive models to estimate choke performance have been proposed for oil fields production and operational conditions, and particularly production systems and reservoirs involved with condensation of the gaseous phase still suffer from a detailed consideration on the development of reliable predictive models. …
Published in Journal of Offshore Structure and Technology · Vol. 4, Issue 1, 2017 · pp. 1–10 Read article
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Multiphysics Optimization of Polymer–Metal Hybrid Electrode Geometry in Electrostatic Precipitators for Enhanced Particle Collection Efficiency
Abstract: Electrostatic precipitators (ESPs) remain one of the most effective technologies for controlling fine particulate emissions in industrial exhaust systems. However, their performance is strongly influenced by electrode geometry and material characteristics, which govern electric field distribution, corona stability, and particle migration behaviour. In this study, a comprehensive numerical investigation is carried out to optimize electrode geometry using a multiphysics modelling framework, while introducing a novel polymer–metal hybrid design to enhance …
Published in Journal of Polymer & Composites · Vol. 14, Issue 2, 2026 · pp. 701–716 Read article
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Adaptive Robust Constraint-Based Nonlinear Control for Trajectory Tracking and Dynamic Obstacle Avoidance in Multi-copter UAVs
Abstract: An adaptive robust nonlinear control system for multi-copter unmanned aerial vehicles (UAVs) trajectory tracking and obstacle avoidance is presented in this research. The suggested approach addresses nonlinear dynamics and environmental uncertainties by combining adaptive disturbance estimates with constraint-based control. Nonlinear differential equations are used to simulate the motion of the UAV, with obstacle avoidance represented as an inequality constraint and trajectory tracking as an equality constraint. The Udwadia–Kalaba method is …
Published in International Journal on Drones · Vol. 2, Issue 2, 2026 · pp. 01–08 Read article
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Effects of Bearing Design Parameter on Working Characteristics of Floating Ring Bearing
Abstract: The working stability of turbochargers supported by floating ring bearings depends on not only the structure of the rotors but also working characteristic of floating ring bearings. These working characteristics are related to working conditions and design parameters of floating ring bearings. The main goal of this research is to investigate the working characteristics of bearings by design parameters of floating ring bearings. In order to study the working characteristics …
Published in Journal of Experimental & Applied Mechanics · Vol. 15, Issue 3, 2024 · pp. 39–52 Read article