Topic
Added mass
About: Added mass is a research topic. Over the lifetime, 2849 publications have been published within this topic receiving 47899 citations.
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TL;DR: In this article, a thorough effort at identifying the forms the added mass coefficient, C, can take under various conditions was made, and a general link between added mass in various two-phase flow situations and one sphere moving inside a concentric shell was established.
17 citations
TL;DR: In this article, a cantilever beam, partially covered by damping and constraining layers, with concentrated mass at the free end is studied and the resonant frequency and system loss factor for different geometrical and physical parameters are determined.
17 citations
TL;DR: In this paper, an approximate expression for the local response of the concentrated mass relative to the plate and the inertial displacement of the spring end at its point of connection with the plate has been developed as the asymptotic limit of a classical component modal analysis by using Asymmptotic Modal Analysis (AMA).
17 citations
TL;DR: In this article, the Euler-Bernoulli theory was used to derive the governing nonlinear partial differential equation for the slender beam coupled with a pendulum, and the absorption regions were defined with respect to the system parameters for the passive vibration absorber.
17 citations
TL;DR: In this article, a Lagrangian mechanics framework for modeling the motion of a submerged vehicle operating near a free surface in calm water is proposed. But the model structure is similar to standard maneuvering models for surface ships, though additional complexities are present since the hydrodynamic parameters are shown to depend on the vessel position and orientation relative to the free surface.
Abstract: In this paper, we propose a Lagrangian mechanics framework for modeling the motion of a submerged vehicle operating near a free surface in calm water. By augmenting the system Lagrangian used to derive Kirchhoff's equations for a rigid body moving in an unbounded fluid, we directly incorporate the free surface into the derivation of the equations of motion. This is done using a free surface Lagrangian, which accounts for the energy stored within the free surface due to the motion of a submerged vehicle. The system Lagrangian then enables us to derive the six-degrees-of-freedom nonlinear equations of motion using the Euler–Lagrange equations. The model structure is similar to standard maneuvering models for surface ships, though additional complexities are present since the hydrodynamic parameters are shown to depend on the vessel position and orientation relative to the free surface. We also examine a fundamental tradeoff between model simplicity and model fidelity: we choose to model only the instantaneous fluid response and neglect the hydrodynamic memory effects. Without the memory effects, the proposed model does not incorporate wave-resistance forces. However, the simplified representation of the hydrodynamics does enable a control-oriented representation of the nonlinear radiation forces and moments commonly associated with added mass and free surface suction effects.
17 citations