Modal Loss Factors of Thick Three-Layer Cylinders With Viscoelastic Core

1995 ◽  
Author(s):  
Hamid R. Hamidzadeh ◽  
Yanfei Jiang
Keyword(s):  
Shear Modulus ◽  
Natural Frequencies ◽  
Core Material ◽  
Constrained Layer Damping ◽  
Material Damping ◽  
The Core ◽  
Linear Viscoelastic Material ◽  
Wide Range ◽  
Elastic Cylinders ◽  
Loss Factors

Abstract An analytical solution to the free vibration of a damped three-layer thick sandwiched cylinder of infinite extend is presented. The constrained layer damping is accomplished by sandwiching a linear viscoelastic material between two isotropic elastic cylinders with the same properties. The governing equation is derived based on elasto-dynamic theory utilizing complex elastic moduli. Dimensionless natural frequencies and modal loss-factors are extracted. Special case for a three-layer sandwiched cylinder with similar elastic properties is considered. The computed dimensionless frequencies are compared with previously established results. The comparison indicates the validity of the proposed mathematical procedures. In addition, the effects of various values of material damping for the core layer and ratio of the core shear modulus to the shear modulus of the elastic cylinders on natural frequencies and modal loss-factors are studied. For a given configuration, modal information for the first two modes for n = 0, 1, 2, 3 and 4 are presented for a wide range of core material damping and G2/G1 ratio.

The Effect of Visco-Elastic Core Thickness on Modal Loss Factors of a Thick Three-Layer Cylinder

2007 ◽  
Author(s):  
Hamid R. Hamidzadeh
Keyword(s):  
Elastic Moduli ◽  
Natural Frequencies ◽  
Middle Layer ◽  
Constrained Layer Damping ◽  
Governing Equations ◽  
Modal Damping ◽  
Core Thickness ◽  
Elastic Cylinders ◽  
Thick Layers ◽  
Loss Factors

Free vibration of damped three-layer sandwich cylinders with thick layers is considered. In particular, the effect of the different thicknesses for the middle layer on the overall natural frequencies and modal damping factors are studied. The constrained layer damping is accomplished by sandwiching a linear visco-elastic material between two isotropic elastic cylinders with the same properties. The governing equations are derived using the theory of elasto-dynamic, by employing complex elastic moduli for the sandwiched layer. Dimensionless natural frequencies and modal loss-factors for the first three thickness modes associated with wave numbers of n = 0, 1, 2, 3, and 4 are tabulated for a range of thicknesses for the middle visco-elastic layer while keeping the thicknesses of inner and outer layers unchanged.

scholarly journals Nonlinear Vibration Behavior of Sandwich Beams With Entangled Fiber Core Material

2013 ◽  
Author(s):  
Elsa Piollet ◽  
Guilhem Michon ◽  
Dominique Poquillon
Keyword(s):  
Shear Modulus ◽  
Shear Strain ◽  
Virtual Work ◽  
Equations Of Motion ◽  
Sandwich Beam ◽  
Experimental Tests ◽  
Core Material ◽  
Sandwich Beams ◽  
Fiber Core ◽  
The Core

In this paper, the use of entangled cross-linked fibers as core material in vibrating sandwich beams is investigated. The aim is to analyze the effect of this specific core material in terms of damping. The dynamic shear properties of the material are first studied experimentally. The shear modulus is shown to decrease with increasing shear strain amplitude at low shear strains. To include an amplitude dependency of the core material properties in the sandwich beam behavior, an analytical model is proposed. The equations of motion are derived using Lagrange’s equations. The shearing of the core is introduced in the equations through the use of virtual work to allow any relationship between shear stress and shear strain, including damping and nonlinearities. Experimental tests are carried out on sandwich beams with entangled fiber core material. The Frequency Response Function obtained exhibits decreasing resonant frequency and peak amplitude with increasing load amplitude. This softening behavior is consistent with the decreasing shear modulus. The proposed model is used take into account the softening nonlinearity. The FRF is reproduced with a linearly decreasing shear modulus and linearly increasing loss factor.

scholarly journals MICROENCAPSULATION OF MERCAPTAN USING POLYCAPROLACTONE AS SHELL MATERIAL TOWARD SELF-HEALING COATING APPLICATIONS

2018 ◽  
Vol 56 (3B) ◽  
pp. 137 ◽  
Author(s):  
Thuy Thu Truong ◽  
Le-Thu T. Nguyen
Keyword(s):  
Construction Materials ◽  
Soxhlet Extraction ◽  
Particle Size Analysis ◽  
Polymer Materials ◽  
Core Material ◽  
Size Analysis ◽  
Self Healing ◽  
Water Emulsion ◽  
The Core ◽  
Wide Range

Polymer materials incorporating microencapsulated self-healing agents have a wide range of application from paint coating, anti-corrosion coatings to automotive and construction materials. In this research, microcapsules containing reactive mercaptan compound for use in self healing polymers were successfully fabricated via the oil-in-water emulsion method. We employed for the first time the UV-initiated thiol-ene reaction between an alkene-functionalized polycaprolactone and a tetrathiol compound to form the microcapsule shell. To synthesize microcapsules, the tetrathiol was used in large excess, thus maintaining inside the microcapsules as the core material. The obtained microcapsules were analyzed by Fourier Transform infrared microscopy, optical microscopy, scanning electron microscopy (SEM) and laser diffraction particle size analysis. The core was extracted by Soxhlet extraction and analyzed by 1H NMR and FTIR spectroscopy.

Optimum Layout of Passive Constrained Layer Damping Treatment Using Genetic Algorithms

2010 ◽  
Author(s):  
S. W. Hou ◽  
Y. H. Jiao ◽  
Z. B. Chen
Keyword(s):  
Shear Modulus ◽  
Viscoelastic Material ◽  
Large Scale ◽  
Vibration Suppression ◽  
Flexible Structures ◽  
Wide Frequency Range ◽  
Viscoelastic Layer ◽  
Constrained Layer Damping ◽  
Passive Constrained Layer Damping ◽  
Loss Factors

The passive constrained layer damping (CLD) treatments have been used widely for vibration suppression of various flexible structures. Fully covered CLD treatment is extensively used to depress the vibration over a wide frequency range in engineering applications. In most of these treatments it is required that the CLD treatment should not significantly increase the weight or volume. This paper focuses on damping optimization of fully coating beam with a constrained viscoelastic layer. The governing equation of motion of a CLD covered beam is derived using an energy approach and Lagrange’s method. The assumed modes method is employed in solving the equation to obtain the modal loss factors which are used as the objective of optimal layout. A genetic algorithm with large-scale mutation method is employed to search for the optima of the thicknesses of both the constraining layer (CL) and the viscoelastic layer (VL) and the shear modulus of the viscoelastic material (VEM) with the restriction of added volume of the total CLD treatment. Numerical results show that the optima of three design variables, the thicknesses of the CL and the VL and the shear modulus of its viscoelastic material, are highly relevant to each other. The softer or thinner constraining layer requires a softer viscoelastic material for an optimal damping treatment, and high value of the elastic modulus of the base beam matches high shear modulus of the viscoelastic material. The variation of the CL thickness decreases slowly and that of the VL thickness increases with the increase of the thickness of the CLD treatment. Stiffer constraining layer assure greater modal loss factors.

scholarly journals STABILITY OF BREAKWATERS WITH VARIATIONS IN CORE PERMEABILITY

1984 ◽  
Vol 1 (19) ◽  
pp. 166
Author(s):  
G.W. Timco ◽  
E.P.D. Mansard ◽  
J. Ploeg
Keyword(s):  
Water Flow ◽  
Model Test ◽  
Scaling Law ◽  
Flow Distribution ◽  
Core Material ◽  
The Core ◽  
Wide Range ◽  
Overall Stability ◽  
Laboratory Flume ◽  
Core Permeability

In setting-up a breakwater test in a laboratory flume, the conventional practice is to scale geometrically the armour units, underlayer rocks and core material based on the Proude scaling criteria. However, because some of the properties of the water are not scaled for a model test, the Reynolds scaling law is violated. This can result in improper water flow distribution through the model breakwater. To investigate this problem, a series of tests were performed with a model breakwater in which the permeability (and porosity) of the core was varied over a wide range, and the hydraulic response and breakage of the armour units were measured. It was found that the overall stability of the breakwater could be drastically affected if the flow in the core is scaled incorrectly.

Effects of Normal Strain in Core Material on Modal Property of Sandwich Plates

1997 ◽  
Vol 119 (4) ◽  
pp. 493-503 ◽  
Author(s):  
Byung-Chan Lee ◽  
Kwang-Joon Kim
Keyword(s):  
Elastic Modulus ◽  
Shear Modulus ◽  
Layer Thickness ◽  
Dynamic Modeling ◽  
Core Layer ◽  
Base Layer ◽  
Core Material ◽  
Sandwich Plates ◽  
The Core ◽  
Plate Length

In vibration analysis of sandwich beam/plates, it is often assumed that there is shear deformation only, without extension or compression in the viscoelastic layer. Certainly, this assumption may have limitations, for example, with increase of the core thickness or frequency range of vibration. The purpose of this paper is to consider the normal, as well as shear strain of the core material for modal parameter estimation of the sandwich plates and to investigate how much error will be caused by neglecting the extension or compression in the core material. Natural frequencies and modal loss factors are estimated for a simply supported square plate by taking the normal as well as shear deformation into account for dynamic modeling. Nondimensional characteristic equations are formulated and solved numerically for various ratios of the base layer thickness to plate length, core layer thickness to base layer, constraining layer thickness to base layer, and shear modulus of core material to elastic modulus of base layer. The effects of the various parameters on the modal properties are shown to be intercorrelated to each other and hence difficult to summarize in one phrase. Normal deformation of the core material plays an important role when the thickness ratio of constraining layer to base layer is 0.5 and its Poisson’s ratio is smaller than 0.49, and hence need to be included in the dynamic modeling especially for estimation of modal damping when one of the following conditions are met; 1) the ratio of base layer thickness to plate length is greater than 0.02, 2) the thickness ratio of core layer to base layer is greater than 0.01, 3) the wavelength of a mode is less than one third of the plate length, 4) the ratio of shear modulus of core material to elastic modulus of base material is less than 10−5.

Duoethnography: A Polytheoretical Approach to (Re)Storing, (Re)Storying the Meanings That One Gives

2020 ◽  
pp. 396-423
Author(s):  
John Joseph Norris ◽  
Richard D. Sawyer
Keyword(s):  
Social Justice ◽  
Critical Theory ◽  
Third Space ◽  
The Third ◽  
The Core ◽  
Wide Range ◽  
Core Elements ◽  
Feminist Inquiry

This chapter summarizes the advancement of duoethnography throughout its fifteen-year history, employing examples from a variety of topics in education and social justice to provide a wide range of approaches that one may take when conducting a duoethnography. A checklist articulates what its cofounders consider the core elements of duoethnographies, additional features that may or may not be employed and how some studies purporting to be duoethnographies may not be so. The chapter indicates connections between duoethnography and a number of methodological concepts including the third space, the problematics of representation, feminist inquiry, and critical theory using published examples by several duoethnographers.

Measurement of Young’s Modulus and Shear Modulus of Some Structures Welded Using Flux Cored Wire by Vibration Tests

2014 ◽  
Vol 216 ◽  
pp. 151-156 ◽  
Author(s):  
Liviu Bereteu ◽  
Mircea Vodǎ ◽  
Gheorghe Drăgănescu
Keyword(s):  
Shear Modulus ◽  
Arc Welding ◽  
Natural Frequencies ◽  
Free Vibrations ◽  
Vibration Modes ◽  
Cored Wire ◽  
Flux Cored Arc Welding ◽  
Longitudinal Elastic Modulus ◽  
Vibration Tests ◽  
Non Destructive

The aim of this work was to determine by vibration tests the longitudinal elastic modulus and shear modulus of welded joints by flux cored arc welding. These two material properties are characteristic elastic constants of tensile stress respectively torsion stress and can be determined by several non-destructive methods. One of the latest non-destructive experimental techniques in this field is based on the analysis of the vibratory signal response from the welded sample. An algorithm based on Pronys series method is used for processing the acquired signal due to sample response of free vibrations. By the means of Finite Element Method (FEM), the natural frequencies and modes shapes of the same specimen of carbon steel were determined. These results help to interpret experimental measurements and the vibration modes identification, and Youngs modulus and shear modulus determination.

scholarly journals Acoustic Panels Made of Paper Sludge and Clay Composites

2021 ◽  
Vol 13 (2) ◽  
pp. 637
Author(s):  
Tomas Astrauskas ◽  
Tomas Januševičius ◽  
Raimondas Grubliauskas
Keyword(s):  
Absorption Coefficient ◽  
Sound Absorption ◽  
Composite Panel ◽  
Sound Absorption Coefficient ◽  
Core Material ◽  
Paper Sludge ◽  
Frequency Range ◽  
Absorption Properties ◽  
Air Gaps ◽  
The Core

Studies on recycled materials emerged during recent years. This paper investigates samples’ sound absorption properties for panels fabricated of a mixture of paper sludge (PS) and clay mixture. PS was the core material. The sound absorption was measured. We also consider the influence of an air gap between panels and rigid backing. Different air gaps (50, 100, 150, 200 mm) simulate existing acoustic panel systems. Finally, the PS and clay composite panel sound absorption coefficients are compared to those for a typical commercial absorptive ceiling panel. The average sound absorption coefficient of PS-clay composite panels (αavg. in the frequency range from 250 to 1600 Hz) was up to 0.55. The resulting average sound absorption coefficient of panels made of recycled (but unfinished) materials is even somewhat higher than for the finished commercial (finished) acoustic panel (αavg. = 0.51).

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