Simulation on Composite Backscattering from Rough Surface with Target above it

2012 ◽  
Vol 490-495 ◽  
pp. 603-607
Author(s):  
Wei Tian ◽  
Xin Cheng Ren
Keyword(s):  
Rough Surface ◽  
Root Mean Square ◽  
Cross Section ◽  
Correlation Length ◽  
Rectangular Cross Section ◽  
Mean Square ◽  
Method Of Moment ◽  
Backscattering Coefficient ◽  
One Dimensional ◽  
Surface Fluctuation

One-dimensional Gaussion rough surface is simulated and employed by Monte Carlo Method, the composite backscattering from one-dimensional Gaussion rough surface with rectangular cross-section column above it is studied using Method of Moment. The curves of composite backscattering coefficient with scattering angle and frequency of incident wave are simulated by numerical calculation, the influence of the root mean square and the correlation length of rough surface fluctuation, the height between the center of the rectangular cross-section column and the rough surface, the length and the width of the rectangular cross-section column is discussed. The characteristic of the composite back-scatting from one-dimensional Gaussion rough surface with a rectangular cross-section column above it is obtained. The results show that the influences of the root mean square and the correlation length of rough surface fluctuation, the height between the center of the rectangular cross-section column and the rough surface, the width of the rectangular cross-section column on the composite backscattering coefficients are obvious while the influences of the length of the rectangular cross-section column on the complex backscattering coefficient is less.

The Exact One-Dimensional Theory for End-Loaded Fully Anisotropic Beams of Narrow Rectangular Cross Section

2001 ◽  
Vol 68 (6) ◽  
pp. 865-868 ◽  
Author(s):  
P. Ladeve`ze ◽  
J. G. Simmonds
Keyword(s):  
Cross Section ◽  
Plane Stress ◽  
Rectangular Cross Section ◽  
Dimensional Theory ◽  
Explicit Formulas ◽  
Cross Sectional ◽  
Rectangular Shape ◽  
One Dimensional ◽  
Anisotropic Elastic ◽  
Derivatives Of

The exact theory of linearly elastic beams developed by Ladeve`ze and Ladeve`ze and Simmonds is illustrated using the equations of plane stress for a fully anisotropic elastic body of rectangular shape. Explicit formulas are given for the cross-sectional material operators that appear in the special Saint-Venant solutions of Ladeve`ze and Simmonds and in the overall beamlike stress-strain relations between forces and a moment (the generalized stress) and derivatives of certain one-dimensional displacements and a rotation (the generalized displacement). A new definition is proposed for built-in boundary conditions in which the generalized displacement vanishes rather than pointwise displacements or geometric averages.

One-dimensional model of fourth order for rods with loading on lateral boundary: The case of rectangular cross section

2016 ◽  
Vol 22 (12) ◽  
pp. 2269-2287 ◽  
Author(s):  
Erick Pruchnicki
Keyword(s):  
Cross Section ◽  
Fourth Order ◽  
Displacement Field ◽  
Rectangular Cross Section ◽  
Transverse Dimension ◽  
Lateral Boundary ◽  
Dimensional Model ◽  
Equilibrium Equations ◽  
Lagrange Equations ◽  
One Dimensional

We propose deducing from three-dimensional elasticity a one dimensional model of a beam when the lateral boundary is not free of traction. Thus the simplification induced by the order of magnitude of transverse shearing and transverse normal stress must be removed. For the sake of simplicity we consider a beam with rectangular cross section. The displacement field in rods can be approximated by using a Taylor–Young expansion in transverse dimension of the rod and we truncate the potential energy at the fourth order. By considering exact equilibrium equations, the highest-order displacement field can be removed and the Euler–Lagrange equations are simplified.

Non-one-dimensional combustion of specimens with rectangular cross section

1983 ◽  
Vol 19 (4) ◽  
pp. 377-380 ◽  
Author(s):  
V. A. Vol'pert ◽  
A. V. Dvoryankin ◽  
A. G. Strunina
Keyword(s):  
Cross Section ◽  
Rectangular Cross Section ◽  
One Dimensional

Calculation of Self Inductance and Mutual Inductance of Coils with Rectangular Cross Section

2014 ◽  
Vol 9 (1) ◽  
pp. 10-14
Author(s):  
Aleksandr Ivanov
Keyword(s):  
Numerical Calculation ◽  
Cross Section ◽  
Rectangular Cross Section ◽  
Mutual Inductance ◽  
One Dimensional ◽  
Dimensional Integral

An inductance and mutual inductance of coils with rectangular cross section is given in a form of one-dimensional integral. The formula is appropriate for numerical calculation of the inductances with given accuracy

One-Dimensional Theories of Wave Propagation and Vibrations in Elastic Bars of Rectangular Cross Section

1966 ◽  
Vol 33 (3) ◽  
pp. 489-495 ◽  
Author(s):  
M. A. Medick
Keyword(s):  
Wave Propagation ◽  
Cross Section ◽  
Isotropic Material ◽  
Rectangular Cross Section ◽  
One Dimensional ◽  
Anisotropic Elastic

A method for constructing rational, one-dimensional theories of various orders of approximation, descriptive of wave propagation and vibrations in anisotropic elastic bars of rectangular cross section, is presented. As illustrations, several approximate theories are derived which are applicable to extensional motion in rectangular bars of isotropic material.

scholarly journals Elastic Rough Surface Contact and the Root Mean Square Slope of Measured Surfaces over Multiple Scales

2021 ◽  
Vol 5 (2) ◽  
pp. 44
Author(s):  
Robert Jackson ◽  
Yang Xu ◽  
Swarna Saha ◽  
Kyle Schulze
Keyword(s):  
Rough Surface ◽  
Root Mean Square ◽  
Contact Area ◽  
Multiple Scales ◽  
Real Contact Area ◽  
Mean Square ◽  
The Real ◽  
Real Contact ◽  
Surface Contact ◽  
Rough Surface Contact

This study investigates the predictions of the real contact area for perfectly elastic rough surfaces using a boundary element method (BEM). Sample surface measurements were used in the BEM to predict the real contact area as a function of load. The surfaces were normalized by the root-mean-square (RMS) slope to evaluate if contact area measurements would collapse onto one master curve. If so, this would confirm that the contact areas of manufactured, real measured surfaces are directly proportional to the root mean square slope and the applied load, which is predicted by fractal diffusion-based rough surface contact theory. The data predicts a complex response that deviates from this behavior. The variation in the RMS slope and the spectrum of the system related to the features in contact are further evaluated to illuminate why this property is seen in some types of surfaces and not others.

NONLINEAR THIN-WALLED BEAMS WITH A RECTANGULAR CROSS-SECTION — PART I

2012 ◽  
Vol 22 (03) ◽  
pp. 1150016 ◽  
Author(s):  
LORENZO FREDDI ◽  
MARIA GIOVANNA MORA ◽  
ROBERTO PARONI
Keyword(s):  
Cross Section ◽  
Elastic Energy ◽  
Rectangular Cross Section ◽  
Three Dimensional ◽  
Scaling Factor ◽  
One Dimensional ◽  
Thin Walled ◽  
The Cross ◽  
Limit Models ◽  
Cross Section Part

Our aim is to rigorously derive a hierarchy of one-dimensional models for thin-walled beams with rectangular cross-section, starting from three-dimensional nonlinear elasticity. The different limit models are distinguished by the different scaling of the elastic energy and of the ratio between the sides of the cross-section. In this paper we report the first part of our results. More precisely, denoting by h and δh the length of the sides of the cross-section, with δh ≪ h, and by [Formula: see text] the scaling factor of the bulk elastic energy, we analyze the cases in which δh/εh → 0 (subcritical) and δh/εh → 1 (critical).

scholarly journals Electromagnetic Scattering by Multiple Columns Partially Buried in a Ground Plane

2017 ◽  
Vol 2017 ◽  
pp. 1-8 ◽  
Author(s):  
Xin-Cheng Ren ◽  
Ye Zhao ◽  
Peng-Ju Yang ◽  
Xiao-Min Zhu
Keyword(s):  
Cross Section ◽  
Electromagnetic Scattering ◽  
Land Surface ◽  
Rectangular Cross Section ◽  
Ground Plane ◽  
Fdtd Method ◽  
Separation Distance ◽  
Burial Depth ◽  
Backscattering Coefficient ◽  
Multiple Objects

Wideband electromagnetic scattering from multiple objects partially buried beneath rough earth soil surfaces is an important topic during recent years due to its extensive applications in several fields, such as ground remote sensing, ground penetrating radar applications, and target identification. Due to the advantages of finite-difference time-domain (FDTD) method in calculating the wideband electromagnetic scattering from rough surface in the presence of multiple objects, the FDTD method under ultrawideband (UWB) Gaussian pulse wave incidence is utilized in the present study for analyzing the frequency response of rough soil surfaces with periodically distributed multiple rectangular cross-section columns buried partially. In this paper, the dielectric property of the actual land surface is expressed using the four-component model, and the actual rough land surface is simulated utilizing Monte Carlo method with exponential correlation function. The emphasis of the present study is on analyzing the wideband response signatures of composite backscattering coefficient varying with frequency on the basis of extensive numerical simulations, in particular for calculating and discussing in detail the influence of the root-mean-square height and the correlation length of rough soil surface, soil moisture, the length and the width of the rectangular cross-section column, separation distance, burial depth, and tilt angle on the composite backscattering coefficient.

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