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25 articles for “Eigenvalue”
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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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Balanced Truncation Based Reduction of Large-Scale System
Abstract: Abstract—In this paper model order reduction method are applied on large scale system. In this article Schur based Balanced Truncation method are applied to reduce the original system. In this note it is shown that a not-necessarily-balanced state-space realization of the Moore reduced model can be compute directly without balancing via projections defined in terms of random bases for the left and right eigenspaces related with the “large” eigenvalues of …
Published in Journal of Multimedia Technology & Recent Advancements · Vol. 6, Issue 2, 2019 · pp. 16–21 Read article
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Study on Influence of Different Forms of Damping and Operating Temperature on Whirling Speeds of Rotors
Abstract: Accurate prediction of rotor whirl speeds is fundamentally important in the design of rotating machinery. There has been an impressive progress in the study of rotor dynamics in the last decade. The use of finite elements for the simulation of rotor system makes it possible to handle complex problems. Rotating shaft tends to bow out at certain speeds and whirl in a complicated manner. This phenomenon results from various causes …
Published in Trends in Machine design · Vol. 4, Issue 2, 2017 · pp. 41–55 Read article
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Calculation of Element Stiffness Matrix for Finite Element Analysis of Pile Dynamic Stability
Abstract: For the purpose of analyzing the dynamic stability of pile structures under periodic loads, we have employed the Finite Element Method in this study. The soil modulus was assumed to vary linearly. We have formulated the Mathieu-Hill eigenvalue equation to analyze the stability and instability regions for different static and dynamic load factors. Our research provides valuable insights into the behavior of pile structures when subjected to dynamic loading. The …
Published in Journal of Offshore Structure and Technology · Vol. 9, Issue 3, 2022 · pp. 40–46 Read article
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QSAR Studies on Schiff Bases of Pyrrole-2-Carboxaldehyde for Antimicrobial Activity
Abstract: Pyrrole and Schiff bases are therapeutically significant organic moieties. QSAR (Quantitative structure-activity relationship) studies of thirteen pyrrole-2-carboxyaldehyde Schiff bases have been described for antimicrobial activity against S. epidermidis, E. coli and S. aureus. Described 2D QSAR models are statistically significant models with good fitting ability and robustness. The Q2 value is more than 0.5 for all discussed models which confirms the internal predictive power of the derived QSAR equations. Molecular …
Published in Research & Reviews: A Journal of Drug Design & Discovery · Vol. 3, Issue 3, 2016 · pp. 1–8 Read article