Modal analysis of the FGM-beams with continuous transversal symmetric and longitudinal variation of material properties with effect of large axial force

2012 ◽  
Vol 34 ◽  
pp. 314-329 ◽  
Author(s):  
M. Aminbaghai ◽  
J. Murín ◽  
V. Kutiš
Keyword(s):  
Modal Analysis ◽  
Axial Force ◽  
Material Properties ◽  
Longitudinal Variation

scholarly journals Axial force measurement of the bolt/nut assemblies based on the bending mode shape frequency of the protruding thread part using ultrasonic modal analysis

Measurement ◽  
2020 ◽  
Vol 162 ◽  
pp. 107914 ◽  
Author(s):  
Naoki Hosoya ◽  
Takanori Niikura ◽  
Shinji Hashimura ◽  
Itsuro Kajiwara ◽  
Francesco Giorgio-Serchi
Keyword(s):  
Modal Analysis ◽  
Axial Force ◽  
Mode Shape ◽  
Force Measurement ◽  
Bending Mode

scholarly journals Modal Analysis of Beam Structures with Random Field Models at Multiple Scales

2021 ◽  
Vol 2021 ◽  
pp. 1-15
Author(s):  
Dan Feng
Keyword(s):  
Random Field ◽  
Modal Analysis ◽  
Material Properties ◽  
Multiple Scales ◽  
Heterogeneous Material ◽  
Modal Parameters ◽  
Fe Method ◽  
Length Scales ◽  
Beam Structures ◽  
Random Field Theory

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.

scholarly journals Modal analysis for nanoplasmonics with nonlocal material properties

2019 ◽  
Vol 100 (15) ◽  
Author(s):  
Felix Binkowski ◽  
Lin Zschiedrich ◽  
Martin Hammerschmidt ◽  
Sven Burger
Keyword(s):  
Modal Analysis ◽  
Material Properties

Effect of Longitudinal Variation of Material Properties in Warping Torsion of FGM Beams

2020 ◽  
pp. 243-296
Author(s):  
Justín Murín ◽  
Juraj Hrabovsky ◽  
Stephan Kugler ◽  
Vladimir Kutiš ◽  
Mehdi Aminbaghai
Keyword(s):  
Material Properties ◽  
Longitudinal Variation

Analytical modal analysis of thin-film flat lenses

2005 ◽  
Vol 219 (1) ◽  
pp. 55-59 ◽  
Author(s):  
H R Hamidzadeh ◽  
L Moxey
Keyword(s):  
Thin Film ◽  
Analytical Solution ◽  
Dynamic Response ◽  
Modal Analysis ◽  
Closed Form ◽  
Material Properties ◽  
Mathieu Equation ◽  
Free Vibrations ◽  
Mode Shapes ◽  
Closed Form Solutions

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.

Analytical Modal Analysis of Thin-Film Flat Lenses

2003 ◽  
Author(s):  
L. Moxey ◽  
H. Hamidzadeh
Keyword(s):  
Thin Film ◽  
Analytical Solution ◽  
Dynamic Response ◽  
Modal Analysis ◽  
Closed Form ◽  
Material Properties ◽  
Mathieu Equation ◽  
Free Vibrations ◽  
Vibration Response ◽  
Closed Form Solutions

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.

scholarly journals NUMERICAL AND EXPERIMENTAL MODAL ANALYSIS OF A CARBON FIBRE MONOCOQUE

2021 ◽  
Vol 2021 (2) ◽  
pp. 4371-4375
Author(s):  
MICHAL SKOVAJSA ◽  
◽  
ROMAN KROFT ◽  
FRANTISEK SEDLACEK ◽  
◽  
...  
Keyword(s):  
Numerical Simulation ◽  
Numerical Analysis ◽  
Carbon Fibre ◽  
Modal Analysis ◽  
Natural Frequency ◽  
Material Properties ◽  
Orthotropic Materials ◽  
Experimental Measurements ◽  
Honeycomb Core ◽  
Glued Joints

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.

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