scholarly journals Modal analysis for nanoplasmonics with nonlocal material properties

2019 ◽  
Vol 100 (15) ◽  
Author(s):  
Felix Binkowski ◽  
Lin Zschiedrich ◽  
Martin Hammerschmidt ◽  
Sven Burger
2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Dan Feng

Structure material properties are heterogeneous in nature and would be characterized with different statistics at different length scales due to the spatially averaging effects. This work develops a framework for the modal analysis of beam structures with random field models at multiple scales. In this framework, the random field theory is adopted to model heterogeneous material properties, and the cross-correlations between material properties are explicitly considered. The modal parameters of a structure are then evaluated using the finite element (FE) method with the simulated heterogeneous material properties taken as input. With the aid of Monte Carlo simulation, the modal parameters are analyzed in a probabilistic manner. In addition, to accommodate the necessity of different mesh sizes in FE models, an approach of evaluating random field parameters and generating random field material properties at different length scales is developed. The performance of the proposed framework is demonstrated through the modal analysis of a simply supported beam, where the formulation of the multiscale random field approach is validated and the effects of heterogeneous material properties on modal parameters are analyzed. Parametric studies on the random field parameters, including the coefficient of variation and the scale of fluctuation, are also conducted to further investigate the relations between the random field parameters at different scales.


Author(s):  
H R Hamidzadeh ◽  
L Moxey

The free vibrations of circular and elliptical thin-film lens are investigated. In particular, linear closed-form solutions for free vibrations of these structures were achieved and modal analysis was performed. The vibration response of the thin-film membranes were mathematically modelled using the Mathieu equation. Numerical results for various nodal diameters were computed. For the limited case, when an elliptical lens becomes circular, an excellent comparison was established with the available analytical solution. Experimental analyses were conducted to determine the effects of various parameters, such as material properties, membrane pre-strain rate, and the geometry, on natural frequency and mode shapes of these structures. The comparison verified the adequacy of linear solutions to predict the dynamic response of thin-film lenses.


Author(s):  
L. Moxey ◽  
H. Hamidzadeh

Dynamics of circular and elliptical thin-film lens are investigated. In particular, linear closed-form solutions for free vibrations of these structures were achieved and modal analysis was performed. The vibration response of the thin film membranes were mathematically modeled using Mathieu equation. Numerical results for various nodal diameters were computed. For the limited case when an elliptical lens becomes circular, an excellent comparison was established with the available analytical solution. Experimental analyses were conducted to determine the effects of various parameters such as material properties, membrane pre strain and the geometry on the dynamic response of these structures. The comparison verified the adequacy of linear solutions to predict the dynamic response of thin film lenses.


2021 ◽  
Vol 2021 (2) ◽  
pp. 4371-4375
Author(s):  
MICHAL SKOVAJSA ◽  
◽  
ROMAN KROFT ◽  
FRANTISEK SEDLACEK ◽  
◽  
...  

This paper deals with the comparison of experimental measurements and numerical simulation of the natural frequency and natural shape of a carbon fibre monocoque. This comparison is used to validate the numerical analysis with a real monocoque. Usually, monocoques consist of orthotropic materials like carbon fibre sandwich with a honeycomb core. The monocoque is manufactured by hand from several layers of different materials, which are connected by glued joints. This does not guarantee the material properties or the same mass the idealized numerical simulation.


10.29007/815q ◽  
2018 ◽  
Author(s):  
Shubhangi Umale ◽  
Dr.Sangeeta Shinde

In the present work, Finite element analysis is done by using FEM based software ANSYS (version 15) on simply supported rectangular plate with uniformly distributed loading condition. The results obtained for two different material properties of steel and aluminium are compared by using static structural and modal analysis.The analysis result of deformation, stress and frequency at each mode on simply supported rectangular plate obtained by ANSYS are compared for two material properties. And these results are compared with regression analysis for accuracy.


2020 ◽  
Vol 5 (4) ◽  
pp. 116-121
Author(s):  
Juraj Hrabovský ◽  
Roman Gogola ◽  
Vladimír Goga ◽  
František Janíček

<span lang="EN-GB">This contribution deals with the modal analysis of ACSR conductor using the finite element method (FEM) and experimental measurements of eigenfrequencies. In numerical experiments for the modelling of the conductor the material properties of the chosen conductor cross-section are homogenized by the </span><span lang="EN-US">Representative</span><span lang="EN-GB"> Volume Element (RVE) method. The spatial modal analysis of the power line is carried out by means of our new 3D FGM beam finite element and by standard beam finite element of the commercial software ANSYS. Experimental measurements are also carried out for verification of the numerical calculation accuracy.</span>


Author(s):  
Steven Leuridan ◽  
Quentin Goossens ◽  
Leonard Pastrav ◽  
Jorg Roosen ◽  
Michiel Mulier ◽  
...  

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