scholarly journals Stresses Generated by Twisting Wave Propagation in Rod of Variable Non-circular Cross Section and Arbitrary Curvature Joined With Infinite Straight Rods.

1995 ◽  
Vol 61 (583) ◽  
pp. 879-886
Author(s):  
Hiroshi Kashimoto ◽  
Kosuke Nagaya ◽  
Akio Shiraishi
Keyword(s):  
Wave Propagation ◽  
Cross Section ◽  
Circular Cross Section ◽  
Arbitrary Curvature

Electromagnetic wave propagation in a chiroplasma-filled waveguide

1999 ◽  
Vol 62 (1) ◽  
pp. 87-94 ◽  
Author(s):  
J. GONG
Keyword(s):  
Wave Propagation ◽  
Electromagnetic Wave ◽  
Cross Section ◽  
Electromagnetic Waves ◽  
Electromagnetic Wave Propagation ◽  
Propagation Constant ◽  
Circular Cross Section ◽  
Propagation Characteristics ◽  
Waveguide Modes ◽  
The Family

A dispersion equation is derived for a cylindrical waveguide of circular cross-section partially filled with chiroplasma. The propagation characteristics of electromagnetic waves in the family of waveguide modes are studied. The dispersion curves are given. It is found that the propagation constant changes almost linearly with the chirality admittance for the parameters that we choose, and increases with increasing filled area.

Damage Detection in Composite Cylindrical Multilayered Shells with Delaminations

2010 ◽  
Vol 123-125 ◽  
pp. 887-890 ◽  
Author(s):  
Aleksander Muc ◽  
Adam Stawiarski
Keyword(s):  
Wave Propagation ◽  
Numerical Analysis ◽  
Dynamic Behavior ◽  
Cross Section ◽  
Circular Cross Section ◽  
Piezoelectric Sensors ◽  
Structural Dynamic ◽  
Cylindrical Panels ◽  
The Difference ◽  
Computational Procedures

In this study, effective computational procedures are introduced and used to characterize the dynamic behavior of cylindrical panels with circular cross-section having the single delamination between laminate layers. Based on the computed results it is possible to determine the effect of delamination on the overall structural dynamic behavior. Those results are used to quantify the difference between the results of the relevant parameters in the cases of perfect and defected structures. Usually, the wave propagation can be observed with the use of piezoelectric sensors. Therefore, in the next step of our analysis we modeled delaminated structures with a finite number of PZT sensors to consider also their influence on the structural dynamic response. The numerical analysis have been conducted with the use of 3D finite elements. A lot of numerical results allow us to understand better the influence of various parameters on the form of wave propagation in cylindrical multilayered shells.

Wave propagation in tapered periodic curved meta-frame using Floquet theory

2021 ◽  
pp. 1-24
Author(s):  
Rajan Prasad ◽  
Ajinkya Baxy ◽  
Arnab Banerjee
Keyword(s):  
Wave Propagation ◽  
Band Gap ◽  
Cross Section ◽  
Mode Conversion ◽  
Circular Cross Section ◽  
Low Frequency ◽  
Frame Structure ◽  
Rectangular Section ◽  
Flexural Mode ◽  
Tapered Beam

Abstract In this work, the elastic wave propagation and dispersion characteristics of a curved tapered frame structure is investigated analytically. Separately, wave propagation through uniform curved and straight tapered beam were reported in the existing literature; however, no literature reports the influence of simultaneous bent and taper on the wave propagation. In particular, the band characteristics for the curved and tapered beam with two types of cross-sections, i.e., rectangular and circular, are presented. The paper elucidates that introducing a small periodic bent angle cross-section produces a complete, viz. axial and flexural band gap in the low-frequency region, and conicity enhances the width of the band. It is also evidenced that a curved tapered frame with a solid circular cross-section induces a wider band gap than the rectangular section. A complete first normalized bandwidth of 159% is achievable for the circular cross-section and 123% in the case of the rectangular section. The complete result is presented in a non-dimensional framework for wider applicability. An analysis of a finite tapered curved frame structure also demonstrates the attenuating characteristics obtained from the band structure of the infinite structure. The partial wave mode conversion, i.e., generation of coupled axial and flexural mode from a purely axial or flexural mode in an uncoupled medium is observed. This wave conversion is perceived in reflected and transmitted waves while this curved tapered frame is inserted between the two uniform cross-section straight frames.

scholarly journals Ferroelectric based fractal phononic crystals: wave propagation and band structure

2020 ◽  
Vol 557 (1) ◽  
pp. 85-91
Author(s):  
Selami Palaz ◽  
Zafer Ozer ◽  
Amirullah M. Mamedov ◽  
Ekmel Ozbay
Keyword(s):  
Wave Propagation ◽  
Band Structure ◽  
Cross Section ◽  
Phononic Crystal ◽  
Circular Cross Section ◽  
Phononic Crystals ◽  
Square Lattice ◽  
Rubber Matrix ◽  
Element Simulation ◽  
Piezoelectric Inclusion

In this study, the band structure and transmission in multiferroic based Sierpinski carpet phononic crystal are investigated based on finite element simulation. In order to obtain the band structure of the phononic crystal (PnC), the Floquet periodicity conditions were applied to the sides of the unit cell. The square lattice PnC consists of various piezoelectric inclusion in a rubber matrix with square and circular cross section.

Wave propagation in a generalized piezothermoelastic rotating bar of circular cross section

2015 ◽  
Vol 11 (2) ◽  
pp. 216-237 ◽  
Author(s):  
Rajendran Selvamani ◽  
Palaniyandi Ponnusamy
Keyword(s):  
Wave Propagation ◽  
Cross Section ◽  
Rotational Speed ◽  
Relaxation Times ◽  
Circular Cross Section ◽  
Thermal Relaxation ◽  
Wave Number ◽  
Content Type ◽  
Mechanical Coupling ◽  
Thermal Relaxation Times

Purpose – The purpose of this paper is to study the wave propagation in a generalized piezothermoelastic rotating bar of circular cross-section using three-dimensional linear theory of elasticity. Design/methodology/approach – A mathematical model is developed to study the wave propagation in a generalized piezothermelastic rotating bar of circular cross-section by using Lord-Shulman (LS) and Green-Lindsay (GL) theory of thermoelasticity. After developing the formal solution of the mathematical model consisting of partial differential equations, the frequency equations have been derived by using the thermally insulated/isothermal and electrically shorted/charge free boundary conditions prevailing at the surface of the circular cross-sectional bar. The roots of the frequency equation are obtained by using the secant method, applicable for complex roots. Findings – In order to include the time requirement for the acceleration of the heat flow and the coupling between the temperature and strain fields, the analytical terms have been derived for the non-classical thermo-elastic theories, LS and GL theory. The computed physical quantities such as thermo-mechanical coupling, electro-mechanical coupling, frequency shift, specific loss and frequency have been presented in the form of dispersion curves. From the graphical patterns of the structure, the effect of thermal relaxation times and the rotational speed as well as the anisotropy of the of the material on the various considered wave characteristics is more significant and dominant in the flexural modes of vibration. The effect of such physical quantities provides the foundation for the construction of temperature sensors, acoustic sensor and rotating gyroscope. Originality/value – In this paper, the influence of thermal relaxation times and rotational speed on the wave number with thermo-mechanical coupling, electro-mechanical coupling, frequency shift, specific loss and frequency has been observed and are presented as dispersion curves. The effect of thermal relaxation time and rotational speed on wave number for the case of generalized piezothermoelastic material of circular cross-section was never reported in the literature. These results are new and original.

SAF file: It's really three dimensional file

2018 ◽  
Vol 14 (1) ◽  
pp. 1
Author(s):  
Prof. Dr. Jamal Aziz Mehdi
Keyword(s):  
Cross Section ◽  
Root Canal ◽  
Three Dimensional ◽  
Circular Cross Section ◽  
Circular Motion ◽  
Root Canal Treatment ◽  
Metal Core ◽  
Rotating Blade

The biological objectives of root canal treatment have not changed over the recentdecades, but the methods to attain these goals have been greatly modified. Theintroduction of NiTi rotary files represents a major leap in the development ofendodontic instruments, with a wide variety of sophisticated instruments presentlyavailable (1, 2).Whatever their modification or improvement, all of these instruments have onething in common: they consist of a metal core with some type of rotating blade thatmachines the canal with a circular motion using flutes to carry the dentin chips anddebris coronally. Consequently, all rotary NiTi files will machine the root canal to acylindrical bore with a circular cross-section if the clinician applies them in a strictboring manner

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