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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 paper, the authors investigated the non-linear period of the first four modes of planar, flexural large amplitude free vibrations of a slender, inextensible cantilever beam with a flexible root carrying a lumped mass at an intermediate position along its span.
92 citations
TL;DR: In this paper, the so-called added-mass effect is investigated from a different point of view of previous publications and the monolithic fluid-structure problem is partitioned using a static condensation of the velocity terms.
Abstract: In this paper, the so-called added-mass effect is investigated from a different point of view of previous publications. The monolithic fluid–structure problem is partitioned using a static condensation of the velocity terms. Following this procedure the classical stabilized projection method for incompressible fluid flows is introduced. The procedure allows obtaining a new pressure segregated scheme for fluid–structure interaction problems, which has good convergent characteristics even for biomechanical application, where the added-mass effect is strong. The procedure reveals its power when it is shown that the same projection technique must be implemented in staggered FSI methods. Copyright © 2009 John Wiley & Sons, Ltd.
91 citations
TL;DR: In this paper, a theoretical and experimental study of the response of a damaged Euler-Bernoulli beam traversed by a moving mass is presented, where damage is modelled through rotational springs whose compliance is evaluated using linear elastic fracture mechanics.
91 citations
TL;DR: In this article, the motion of bubbles dispersed in a liquid when a small-amplitude oscillatory motion is imposed on the mixture is examined in the limit of small frequency and viscosity.
Abstract: The motion of bubbles dispersed in a liquid when a small‐amplitude oscillatory motion is imposed on the mixture is examined in the limit of small frequency and viscosity. Under these conditions, for bubbles with a stress‐free surface, the motion can be described in terms of added mass and viscous force coefficients. For bubbles contaminated with surface‐active impurities, the introduction of a further coefficient to parametrize the Basset force is necessary. These coefficients are calculated numerically for random configurations of bubbles by solving the appropriate multibubble interaction problem exactly using a method of multipole expansion. Results obtained by averaging over several configurations are presented. Comparison of the results with those for periodic arrays of bubbles shows that these coefficients are, in general, relatively insensitive to the detailed spatial arrangement of the bubbles. On the basis of this observation, it is possible to estimate them via simple formulas derived analytically for dilute periodic arrays. The effect of surface tension and density of bubbles (or rigid particles in the case where the no‐slip boundary condition is applicable) is also examined and found to be rather small.
90 citations
TL;DR: In this article, the Eulerian-Eulerian two-fluid model is adapted to bubble flows and a turbulence model adapted to bubbly flows is developed, in which the Reynolds stress tensor of the continuous phase is split into two parts, a turbulent dissipative part produced by the gradient of mean velocity and by the wakes of the bubbles, and a pseudo-turbulent non-dissipative part induced by the displacements of bubbles: each part is predetermined by a transport equation.
90 citations