Vibration Localization in Near-Periodic Coupled Two-Dimensional Resonator Arrays

2005 ◽  
Author(s):  
John A. Judge ◽  
Joseph F. Vignola ◽  
Brian H. Houston ◽  
Douglas M. Photiadis ◽  
Martin H. Marcus
Keyword(s):  
Statistical Investigation ◽  
Two Dimensional ◽  
Energy Propagation ◽  
Element Analysis ◽  
One Dimensional ◽  
Dimensional Array ◽  
Vibration Localization ◽  
Filter Performance ◽  
Localization Theory ◽  
Effects Of Disorder

The effects of small deviations from periodicity on the vibration behavior of coupled arrays of mechanical resonators are investigated, and the consequences for energy propagation across such arrays are described. Existing localization theory is applied to demonstrate that one-dimensional arrays designed as bandpass filters are particularly sensitive to aperiodicity when narrow passband requirements dictate weak inter-resonator coupling. A novel two-dimensional array of resonators is proposed that is less sensitive to disorder than one-dimensional arrays, improving filter performance without the need for improved manufacturing tolerances. Numerical simulations of a simple model are employed to demonstrate the effects of disorder on one- and two-dimensional arrays, and a case study design is discussed that includes statistical investigation using finite-element analysis and experimental measurements of a prototype two-dimensional array.

MUTUAL EXCLUSION ON OPTICAL BUSES

2002 ◽  
Vol 12 (03n04) ◽  
pp. 341-358
Author(s):  
KRISHNA M. KAVI ◽  
DINESH P. MEHTA
Keyword(s):  
Mutual Exclusion ◽  
Two Dimensional ◽  
One Dimensional ◽  
Dimensional Array ◽  
Propagation Delays ◽  
Optical Buses ◽  
The One

This paper presents two algorithms for mutual exclusion on optical bus architectures including the folded one-dimensional bus, the one-dimensional array with pipelined buses (1D APPB), and the two-dimensional array with pipelined buses (2D APPB). The first algorithm guarantees mutual exclusion, while the second guarantees both mutual exclusion and fairness. Both algorithms exploit the predictability of propagation delays in optical buses.

Piezoelectric Modal Sensors for Two-Dimensional Structures

Aerospace ◽  
2004 ◽  
Author(s):  
Yuan-Fang Chou ◽  
Ming-Yi Yang
Keyword(s):  
Finite Element Analysis ◽  
Free Surface ◽  
Signal Strength ◽  
Mode Shapes ◽  
Two Dimensional ◽  
Surface Charges ◽  
Optimization Scheme ◽  
Element Analysis ◽  
One Dimensional ◽  
Orthogonal Property

Using the orthogonal property of eigenfunctions, piezoelectric modal sensors for one-dimensional members were created by shaping electrode patterns proportional to modal strains. However, it is not easy to apply the same concept to two-dimensional structures due to the difficulty in implementing location weight needed for signals. Therefore, nonlinear optimization scheme is employed in this paper to design modal sensors for two-dimensional structures. For a given electrode pattern, the signal contributed from each mode is found by integrating the corresponding free surface charges on the sensing electrode. Then the modal sensor is obtained by modifying electrode pattern to achieve required relative signal strength for different modes. Sensors that are capable to sense or filter out the signal generated by a specific mode can be developed. A two-dimensional aluminum plate coated with PZT layer is adopted as an example. Mode shapes are found with finite element analysis. Modal sensors are designed successfully and mode- reject filters are also demonstrated.

Arabic Astronomical Tables in China: Tabular Layout and its Implications for the Transmission and Use of the Huihui lifa

2016 ◽  
Vol 44 (1) ◽  
pp. 21-68
Author(s):  
Li Liang
Keyword(s):  
Rotational Symmetry ◽  
Single Type ◽  
Two Dimensional ◽  
Specific Nature ◽  
Intended Audience ◽  
One Dimensional ◽  
Dimensional Array

This paper examines the early transmission and translation of Arabic astronomical tables in China by comparing the layouts of parallax correction tables. After comparing the layouts of equation tables in various Huihui lifa works, this paper concludes that the characteristics of tabular layout are related to the specific nature of each work, and these adjustments thereto may reflect changes in their intended audience and purpose. Comparison of a single type of table that appears in Huihui lifa works of different eras in one-dimensional array, two-dimensional array, and rotational symmetry layouts illustrates that Chinese astronomical tables continually absorbed and adapted the advantages offered by Arabic and European counterparts, flexibly adapting them to their own purposes on the basis of their own tradition and habits.

Transient response of an erodable heat flux gauge using finite element analysis

2002 ◽  
Vol 216 (8) ◽  
pp. 701-706 ◽  
Author(s):  
D R Buttsworth
Keyword(s):  
Heat Flux ◽  
Finite Element ◽  
Surface Temperature ◽  
Transient Response ◽  
Transient Heat Conduction ◽  
Two Dimensional ◽  
Element Analysis ◽  
Ic Engine ◽  
One Dimensional ◽  
Transient Heat Flux

The transient response of an erodable ribbon element heat flux gauge has been assessed using a two-dimensional finite element (FE) analysis. Such transient heat flux gauges have previously been used for measurements in internal combustion (IC) engines. To identify the heat flux from the measurements of surface temperature, it is commonly assumed that the heat transfer within these devices is one-dimensional. A corollary of the one-dimensional treatment is that only one value of the thermal product, , is needed for identification of the transient heat flux, even though erodable heat flux gauges are constructed from at least two different materials. The current results demonstrate that two-dimensional transient heat conduction effects have a significant influence on the surface temperature measurements made with these devices. For the ribbon element gauge and timescales of interest in IC engine studies, using a one-dimensional analysis (and hence a single value of ) will lead to substantial inaccuracy in the derived heat flux measurements.

The influence of lateral spreading on settlements beneath a fill

1994 ◽  
Vol 31 (2) ◽  
pp. 145-150
Author(s):  
C.B. Crawford ◽  
H. Jitno ◽  
P.M. Byrne
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Close Agreement ◽  
Lateral Spreading ◽  
Two Dimensional ◽  
Element Analysis ◽  
Vertical Movements ◽  
One Dimensional ◽  
Dimensional Finite Element ◽  
Earth Embankment

The discrepancy between calculated consolidation settlements and measured settlements under a 3.8 m high section of an earth embankment is investigated in this paper. A conventional one-dimensional analysis underestimated the observed settlement by 40%. A two-dimensional finite-element analysis was carried out to assess the effects of lateral spreading on vertical movements, and the results were in close agreement with the measured values. Key words : case history, consolidation, finite element analysis, settlement.

scholarly journals On the Kinematics of Solar Mirrors Using Massively Parallel Binary Actuation

2010 ◽  
Author(s):  
Seung J. Lee ◽  
Amy M. Bilton ◽  
Steven Dubowsky
Keyword(s):  
Experimental Studies ◽  
Analytical Models ◽  
Massively Parallel ◽  
Thermal Gradients ◽  
Two Dimensional ◽  
Principle Of Superposition ◽  
Element Analysis ◽  
Solar Concentrators ◽  
One Dimensional ◽  
Binary Actuators

Precision mirrors are required for effective solar energy collectors. Manufacturing such mirrors and making them robust to disturbances such as thermal gradients is expensive. In this paper, the use of parallel binary actuation to control the shape of mirrors for solar concentrators is explored. The approach embeds binary actuators in a compliant mirror substructure. Actuators are deployed in a specified pattern to correct the mirror shape. The analysis for binary-actuated compliant mirror structures is presented. Analytical models are developed for one-dimensional and two-dimensional compliant structures with embedded binary actuators. These analytical models are validated using finite element analysis and experimental studies. The models and experiments demonstrate the capabilities of binary actuated mirrors. System workspace is explored, the principle of superposition required for their control is demonstrated, as is the mirror ability to correct its figure.

CHAOTIC ATTRACTORS AND WAVES IN A ONE-DIMENSIONAL ARRAY OF MODIFIED CHUA’S CIRCUITS

1996 ◽  
Vol 06 (07) ◽  
pp. 1295-1317 ◽  
Author(s):  
VLADIMIR I. NEKORKIN ◽  
VICTOR B. KAZANTSEV ◽  
LEON O. CHUA
Keyword(s):  
Travelling Waves ◽  
Basic Unit ◽  
Chaotic Attractors ◽  
Chaotic Oscillator ◽  
Dimensional System ◽  
Two Dimensional ◽  
One Dimensional ◽  
Dimensional Array ◽  
Inductively Coupled ◽  
Two Dimensional System

In this paper, we investigate the possible propagation of travelling waves of a chaotic profile in an unbounded one-dimensional array of inductively-coupled Modified Chua’s Circuits. We show that the basic unit (cell) of our array is a relaxation-like chaotic oscillator, and its dynamics can be modeled by a two-dimensional system with hysteresis. This hysteresis system is studied via an associated 1D point map, and the existence of various distinct chaotic attractors is proved.

Co(II) and Mn(II) complexes of 2,2'-thiodiethanol: [CoII(2,2'-thiodiethanol)2Cl2] and [Mn(2,2'-thiodiethanol)Cl2]n

2000 ◽  
Vol 78 (10) ◽  
pp. 1289-1294
Author(s):  
Yousheng Zhang ◽  
Suning Wang ◽  
Craig Bridges ◽  
John E Greedan
Keyword(s):  
Hydrogen Bonds ◽  
Crystal Lattice ◽  
Key Words ◽  
Three Dimensional ◽  
Dimensional Chain ◽  
Antiferromagnetic Exchange ◽  
Two Dimensional ◽  
Intermolecular Hydrogen Bonds ◽  
One Dimensional ◽  
Dimensional Array

[Co(2,2'-thiodiethanol)2Cl2] (1) and [Mn(2,2'-thiodiethanol)Cl2]n (2), have been synthesized and characterized structurally. Compound 1 is a six-coordinate, mononuclear Co(II) complex. The mononuclear units in the crystal lattice of 1 are linked together through intermolecular hydrogen bonds between hydroxy and chloride groups to form a three-dimensional array. Compound 2 consists of six-coordinate Mn(II) units that are linked by covalently bound 2,2'-thiodiethanol and chloride ligands to form an alternating one-dimensional chain, which is further linked together by inter-chain hydrogen bonds to form a two-dimensional sheet. Antiferromagnetic exchange is present in compound 2.Key words: cobalt, manganese, 2,2'-thiodiethanol, structure, magnetism.

Introductory paper

1966 ◽  
Vol 24 ◽  
pp. 3-5
Author(s):  
W. W. Morgan
Keyword(s):  
Line Intensity ◽  
Classification Scheme ◽  
Two Dimensional ◽  
Spectral Classification ◽  
Dimensional Array ◽  
Rr Lyrae ◽  
Metallic Line ◽  
Introductory Paper ◽  
Parameter Varying ◽  
Definition Of

1. The definition of “normal” stars in spectral classification changes with time; at the time of the publication of theYerkes Spectral Atlasthe term “normal” was applied to stars whose spectra could be fitted smoothly into a two-dimensional array. Thus, at that time, weak-lined spectra (RR Lyrae and HD 140283) would have been considered peculiar. At the present time we would tend to classify such spectra as “normal”—in a more complicated classification scheme which would have a parameter varying with metallic-line intensity within a specific spectral subdivision.

A one-dimensional self-gravitating stellar gas

1966 ◽  
Vol 25 ◽  
pp. 46-48 ◽  
Author(s):  
M. Lecar
Keyword(s):  
Gravitational Field ◽  
Phase Space ◽  
Motion Picture ◽  
Space Distribution ◽  
Two Dimensional ◽  
One Dimensional ◽  
Phase Space Distribution ◽  
Dimensional Phase Space ◽  
The Mean

“Dynamical mixing”, i.e. relaxation of a stellar phase space distribution through interaction with the mean gravitational field, is numerically investigated for a one-dimensional self-gravitating stellar gas. Qualitative results are presented in the form of a motion picture of the flow of phase points (representing homogeneous slabs of stars) in two-dimensional phase space.

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