An analytical formulation for multidimensional continuous opinion models

ABSTRACT: This work presents the dynamic response of a lock subjected to the horizontal S0E component of the El Centro earthquake for empty and completely filled water chamber cases, by coupled fluid-structure analysis. Initially, the lock was studied by approximation, considering it similar to the case of a double piston coupled to a two-dimensional acoustic cavity (tank), representing a simplified analytical model of the fluid-structure problem. This analytical formulation can be compared with numerical results, in order to qualify the responses of the ultimate problem to be investigated. In all the analyses performed, modeling and numerical simulations were done using the finite element method (FEM), supported by the commercial software ANSYS.

Download Full-text

Settling Velocity of Microplastics Exposed to Wave Action

Journal of Marine Science and Engineering ◽

10.3390/jmse9020142 ◽

2021 ◽

Vol 9 (2) ◽

pp. 142

Author(s):

Annalisa De Leo ◽

Laura Cutroneo ◽

Damien Sous ◽

Alessandro Stocchino

Keyword(s):

Laboratory Experiments ◽

Settling Velocity ◽

Transport Model ◽

Stokes Drift ◽

Inertial Effects ◽

Sea Waves ◽

Heavy Particles ◽

Analytical Formulation ◽

Simplified Approach ◽

Remote Areas

Microplastic (MP) debris is recognized to be one of the most serious threats to marine environments. They are found in all seas and oceanic basins worldwide, even in the most remote areas. This is further proof that the transport of MPs is very efficient. In the present study, we focus our attention on MPs’ transport owing to the Stokes drift generated by sea waves. Recent studies have shown that the interaction between heavy particles and Stokes drift leads to unexpected phenomena mostly related to inertial effects. We perform a series of laboratory experiments with the aim to directly measure MPs’ trajectories under different wave conditions. The main objective is to quantify the inertial effect and, ultimately, suggest a new analytical formulation for the net settling velocity. The latter formula might be implemented in a larger scale transport model in order to account for inertial effects in a simplified approach.

Download Full-text

Analytical Formulation of Copper Loss of Litz Wire with Multiple Levels of Twisting Using Measurable Parameters

IEEE Transactions on Industry Applications ◽

10.1109/tia.2021.3063993 ◽

2021 ◽

pp. 1-1

Author(s):

Kazuhiro Umetani ◽

Shota Kawahara ◽

Jesus Acero ◽

Hector Sarnago ◽

Oscar Lucia ◽

...

Keyword(s):

Analytical Formulation ◽

Copper Loss ◽

Multiple Levels

Download Full-text

Dynamics of Rolling-Element Bearings—Part I: Cylindrical Roller Bearing Analysis

Journal of Lubrication Technology ◽

10.1115/1.3453357 ◽

1979 ◽

Vol 101 (3) ◽

pp. 293-302 ◽

Cited By ~ 89

Author(s):

P. K. Gupta

Keyword(s):

Differential Equations ◽

Normal Force ◽

Equations Of Motion ◽

Roller Bearing ◽

Rolling Element Bearings ◽

Analytical Formulation ◽

Rolling Element ◽

Cylindrical Roller Bearing ◽

Cylindrical Roller ◽

Bearing Analysis

An analytical formulation for the roller motion in a cylindrical roller bearing is presented in terms of the classical differential equations of motion. Roller-race interaction is analyzed in detail and the resulting normal force and moment vectors are determined. Elastohydrodynamic traction models are considered in determining the roller-race tractive forces and moments. Formulation for the roller end and race flange interaction during skewing of the roller is also considered. Roller-cage interactions are assumed to be either hydrodynamic or fully metallic. Simple relationships are used to determine the churning and drag losses.

Download Full-text