numerical simulations
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Mathematical Approaches to Nonlinear Oscillatory Systems with Damping: Exact and Approximate Solutions
Abstract: The study of nonlinear oscillatory systems with damping is a key area of research in applied mathematics, particularly in the context of dynamical systems, stability analysis, and bifurcation theory. These systems, described by second-order nonlinear differential equations, exhibit a rich variety of behaviors, including periodic, quasi-periodic, and chaotic motions. The introduction of damping—representing energy dissipation—adds a layer of complexity, making the analytical and numerical solution of such systems a challenging …
Published in Recent Trends in Mathematics · Vol. 2, Issue 2, 2025 · pp. 7–11 Read article
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A simple analytical theory for the preliminary structural design of submarine
Abstract: An Underwater Vehicle (UV) is designed to function underwater and range from an Autonomous UV to a submarine. The main difficulty that UV designers face is minimizing the weight of the pressure hull to maximize payload and propulsion velocity while reducing construction cost and time by employing appropriate material and design approaches. Herein, we examine applications geared toward submarines as well as the creation and development of an analytical model …
Published in Journal of Offshore Structure and Technology · Vol. 11, Issue 1, 2024 · pp. 1–11 Read article