Electroelastic two-dimensional nonstationary vibrations of a piezoceramic prismatic body under mechanical loading

2010 ◽  
Vol 46 (5) ◽  
pp. 493-498 ◽  
Author(s):  
N. A. Shul’ga ◽  
L. O. Grigor’eva
Keyword(s):  
Mechanical Loading ◽  
Two Dimensional ◽  
Nonstationary Vibrations ◽  
Prismatic Body

scholarly journals Two-Dimensional Stress Analysis of Thick Hollow Functionally Graded Sphere Under Non-Axisymmetric Mechanical Loading

2021 ◽  
Vol 6 (4) ◽  
pp. 1115-1126
Author(s):  
Sandeep Kumar Paul ◽  
Manoj Sahni
Keyword(s):  
Differential Equation ◽  
Steady State ◽  
Mechanical Loading ◽  
Radial Direction ◽  
External Pressure ◽  
Functionally Graded ◽  
Two Dimensional ◽  
Legendre Series ◽  
Spherical Coordinate ◽  
Nonlinear Variation

In this paper, a functionally graded thick hollow sphere is considered for the analysis of two-dimensional steady state mechanical stress in the radial and circumferential directions under mechanical loading. Modulus of elasticity is varying with continuous nonlinear variation along the radial direction and Poisson’s ratio is kept as constant. The Legendre series and Euler differential equation are used to solve Navier equations. Geometry of the sphere is assumed in spherical coordinate system. Applying mechanical boundary conditions at inner and outer radii, we have carried out the analytical solutions for stresses, strains and displacements. In the numerical example, only internal pressure is varying along circumferential direction and external pressure is kept as zero. Displacements and mechanical stresses are presented graphically and the results are discussed numerically.

scholarly journals Fabrication of Two-Dimensional Particle Aggregate under Mechanical Loading

2008 ◽  
Vol 45 (3) ◽  
pp. 168-172 ◽  
Author(s):  
Hiroyuki Muto ◽  
Koji Kimata ◽  
Yusuke Daiko ◽  
Atsunori Matsuda ◽  
Mototsugu Sakai
Keyword(s):  
Mechanical Loading ◽  
Two Dimensional ◽  
Particle Aggregate

A Note on Choking Cavitation Flow Past Bluff Bodies

1992 ◽  
Vol 114 (3) ◽  
pp. 439-442 ◽  
Author(s):  
A. S. Ramamurthy ◽  
R. Balachandar
Keyword(s):  
Pressure Distribution ◽  
Cavitation Number ◽  
Experimental Results ◽  
Bluff Bodies ◽  
Two Dimensional ◽  
Interference Effects ◽  
Cavitation Flow ◽  
Prismatic Body ◽  
Flow Past

A model is developed to predict the choking cavitation number for sharp edged bluff bodies subject to wall interference effects. The fact that the forebody pressure distribution under cavitating conditions essentially resembles the values obtained in noncavitating flows is made use of in the development of the model. The model is verified using experimental results from present and previous studies for a specific case of choking flow past a two-dimensional prismatic body.

Experimental Investigation and Model Predictions of a NiMnGa Alloy’s Response to Three Dimensional Magneto-Mechanical Loading

2015 ◽  
Author(s):  
Jason L. Dikes ◽  
Heidi P. Feigenbaum ◽  
Constantin Ciocanel ◽  
Roger Guiel
Keyword(s):  
Experimental Data ◽  
Mechanical Loading ◽  
Three Dimensional ◽  
Experimental Investigations ◽  
Two Dimensional ◽  
Loading Conditions ◽  
Magnetic Shape Memory ◽  
Model Predictions ◽  
3D Loading ◽  
High Degree

Researchers have attempted to model the magneto-mechanical behavior of magnetic shape memory alloys (MSMAs) for over a decade, but all of the models developed to date have only been validated against experimental data generated under two-dimensional loading conditions. As efforts have been underway to develop models able to predict the most general (i.e. 3D) loading conditions for the material, there is a need for experimental data to support the calibration and validation of these models. This paper presents magneto-mechanical data from experiments where a MSMA specimen whose microstructure accommodates three martensite variants is subjected to three-dimensional magneto-mechanical loading. To the best of our knowledge, all prior experimental investigations on MSMA have been performed on samples accommodating two martensite variants and exposed to two-dimensional magneto-mechanical loads. The experimental results from the 3D loading of the three variant MSMA specimen are used to calibrate and validate a 3D model developed by this group [LaMaster et al. (2014)]. This model assumes that three martensite variants coexist in the material. The LaMaster et al. model captures the general trends seen in the experimental data, but does not predict the data with a high degree of accuracy. Possible reasons for the mismatch between experimental data and model predictions are discussed.

CONTINUOUS SPECTRUM OF THE TOTAL‐MAGNETIC‐FIELD ANOMALY DUE TO A RECTANGULAR PRISMATIC BODY

Geophysics ◽  
1966 ◽  
Vol 31 (1) ◽  
pp. 97-121 ◽  
Author(s):  
B. K. Bhattacharyya
Keyword(s):  
Magnetic Field ◽  
Magnetization Vector ◽  
High Amplitude ◽  
The Body ◽  
Two Dimensional ◽  
Near Surface ◽  
Prismatic Body ◽  
Total Magnetic Field ◽  
Dimensional Spectrum ◽  
Prismatic Bodies

The Fourier transform of the total‐magnetic‐field anomaly due to a rectangular prismatic body with arbitrary magnetization yields the two‐dimensional spectrum of the anomaly. In the expression for the spectrum the individual effects of the horizontal and vertical dimensions of the body appear as separate factors. Another factor in the expression takes into account the combined influence of the orientation of the magnetization vector and the dip and declination of the earth’s magnetic field. The expression for the two‐dimensional spectrum is used to obtain analytical formulas of the spectra for magnetic‐field values along profiles parallel to the two horizontal axes of the body. This theoretical study provides a quantitative picture of the shift of the spectrum to the low‐frequency end with increase in either depth or horizontal dimension, or in both, of the magnetized body. It has thus been possible to realize the feasibility of a method for separating the effects of near‐surface high‐amplitude components from those of deep crustal sources in total‐field aeromagnetic maps. Separation of these effects is, however, not unique because of spectral overlap between anomalies due to “shallow” and “deep” sources. A detailed discussion has been made about the characteristics of amplitude and phase spectra of anomalies due to prismatic bodies of differing dimensions. The spectra of anomalies seem to be useful in rapid estimation of the dimensions of a body under suitable conditions. The effect of demagnetization on the fields due to prismatic bodies has been ignored in this paper.

Spectrophotometric measurements of objective-prism spectra

1966 ◽  
Vol 24 ◽  
pp. 118-119
Author(s):  
Th. Schmidt-Kaler
Keyword(s):  
Progress Report ◽  
Two Dimensional ◽  
Objective Prism ◽  
Made In

I should like to give you a very condensed progress report on some spectrophotometric measurements of objective-prism spectra made in collaboration with H. Leicher at Bonn. The procedure used is almost completely automatic. The measurements are made with the help of a semi-automatic fully digitized registering microphotometer constructed by Hög-Hamburg. The reductions are carried out with the aid of a number of interconnected programmes written for the computer IBM 7090, beginning with the output of the photometer in the form of punched cards and ending with the printing-out of the final two-dimensional classifications.

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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