A new method of aperture analysis and synthesis via Gaussian beam expansion

2005 ◽  
Author(s):  
X. Gao
Keyword(s):  
Gaussian Beam ◽  
New Method ◽  
Analysis And Synthesis

The Spatial Linkage Analysis and Synthesis of the Vector Fitting Method

2012 ◽  
Vol 268-270 ◽  
pp. 1231-1238
Author(s):  
You Liang Xu
Keyword(s):  
Linkage Analysis ◽  
Unit Vector ◽  
New Method ◽  
Analysis And Design ◽  
Vector Fitting ◽  
The Core ◽  
Design Variables ◽  
Fitting Method ◽  
Analysis And Synthesis ◽  
Core Idea

Put forward a new method of spatial linkage analysis and synthesis of the vector fitting. The core idea is: all components available in mechanisms can be represent by one or one group of vectors, all vectors are transformed from unit vector, and the mechanism is a assemblage of those vectors. Because of kinematic variables (position, direction, changing when moving ) and design variables (shape, size, unchanging when moving ) is been properly separated which can improve the efficiency of analysis and calculation. The example shows that the method is efficient, and can be used both in the analysis and design of the mechanism.

A New Method to Analyze Spatial Binary Mechanisms With Spherical Pairs

2006 ◽  
Vol 129 (4) ◽  
pp. 455-458 ◽  
Author(s):  
Psang Dain Lin ◽  
Jung-Fa Hsieh
Keyword(s):  
New Method ◽  
Free Region ◽  
Analysis And Synthesis ◽  
Independent Parameters

One of the most popular mathematical tools in the fields of robotics and mechanisms is the Denavit-Hartenberg (DH) notation (Denavit and Hartenberg, 1955, J. Appl. Mech., 77, pp. 215–221). It is valid only for mechanisms containing prismatic, revolute, helical, and cylindrical pairs, but cannot be applied to spherical pairs. This paper presents an extended DH notation that includes spherical pairs, consequently allowing the required independent parameters of any spatial binary mechanism to be listed for purposes of analysis and synthesis. Further, the interference-free region with maximum ball-retention capability of a socket in a spherical pair can be determined analytically. Extended DH notation can systematically model arbitrary binary mechanisms with spherical pairs, simplifying their design and study.

Modeling of Dynamic Systems Using Orthogonal Endocrine Adaptive Neuro-Fuzzy Inference Systems

2015 ◽  
Vol 137 (9) ◽  
Author(s):  
Marko Milojković ◽  
Dragan Antić ◽  
Miroslav Milovanović ◽  
Saša S. Nikolić ◽  
Staniša Perić ◽  
...  
Keyword(s):  
Dynamic Systems ◽  
Fuzzy Inference ◽  
New Method ◽  
Fuzzy Inference Systems ◽  
Orthogonal Functions ◽  
Real Environment ◽  
Hormonal Effect ◽  
Neuro Fuzzy ◽  
Analysis And Synthesis ◽  
Inference Systems

This paper presents a new method for designing adaptive neuro-fuzzy inference systems (ANFIS). Improvements are made by introducing specially developed orthogonal functions into the very structure of ANFIS, specifically, into the layer that imitates Sugeno stile defuzzification. These functions are specially tailored for analysis and synthesis of dynamic systems and they also contain an adaptive measure of the variability of the systems operating in a real environment, which can be implemented inside the ANFIS as hormonal effect.

scholarly journals Eulerian Gaussian beams for high-frequency wave propagation

Geophysics ◽  
2007 ◽  
Vol 72 (5) ◽  
pp. SM61-SM76 ◽  
Author(s):  
Shingyu Leung ◽  
Jianliang Qian ◽  
Robert Burridge
Keyword(s):  
Gaussian Beam ◽  
High Frequency ◽  
Summation Formula ◽  
Summation Method ◽  
New Method ◽  
Gaussian Beams ◽  
Multiple Sources ◽  
Helmholtz Equations ◽  
Frequency Wave ◽  
Eulerian Formulation

We design an Eulerian Gaussian beam summation method for solving Helmholtz equations in the high-frequency regime. The traditional Gaussian beam summation method is based on Lagrangian ray tracing and local ray-centered coordinates. We propose a new Eulerian formulation of Gaussian beam theory which adopts global Cartesian coordinates, level sets, and Liouville equations, yielding uniformly distributed Eulerian traveltimes and amplitudes in phase space simultaneously for multiple sources. The time harmonic wavefield can be constructed by summing up Gaussian beams with ingredients provided by the new Eulerian formulation. The conventional Gaussian beam summation method can be derived from the proposed method. There are three advantages of the new method: (1) We have uniform resolution of ray distribution. (2) We can obtain wavefields excited at different sources by varying only source locations in the summation formula. (3) We can obtain wavefields excited at different frequencies by varying only frequencies in the summation formula. Numerical experiments indicate that the Gaussian beam summation method yields accurate asymptotic wavefields even at caustics. The new method may be used for seismic modeling and migration.

A new method for generating a hollow Gaussian beam

2013 ◽  
Vol 115 (1) ◽  
pp. 55-60 ◽  
Author(s):  
Cun Wei ◽  
Xingyuan Lu ◽  
Gaofeng Wu ◽  
Fei Wang ◽  
Yangjian Cai
Keyword(s):  
Gaussian Beam ◽  
New Method

Detection of Isomorphism Between Planar Kinematic Chains

1987 ◽  
Author(s):  
L. K. Patel ◽  
A. C. Rao
Keyword(s):  
Graph Theory ◽  
Structural Analysis ◽  
Efficient Method ◽  
Computational Effort ◽  
New Method ◽  
Structural Topology ◽  
Single Degree Of Freedom ◽  
Kinematic Chains ◽  
Single Degree ◽  
Analysis And Synthesis

Abstract Structural analysis and synthesis of linkages is a very important aspect. Detection of isomorphism (equivalent structural topology) is essential to determine structurally distinct chains. Some methods to detect distinct chains and mechanisms have already been developed. These methods besides being falliable, require enormous computational effort and as such necessitate development of an easy and efficient method. This paper presents a new method based on graph theory, for detection of isomorphism among kinematic chains. A probability scheme is attached with the chains and relative loop positions are determined for the chains having identical probability schemes. Isomorphism is detected between planar kinematic chains having single degree of freedom.

Selective Sampling and Orientation of Non-Homogeneous Tissues

1968 ◽  
Vol 26 ◽  
pp. 98-99
Author(s):  
C. C. Clawson ◽  
L. W. Anderson ◽  
R. A. Good
Keyword(s):  
Electron Microscopy ◽  
Electron Microscope ◽  
Light Microscopy ◽  
Random Sampling ◽  
New Method ◽  
Microscope Examination ◽  
Small Areas ◽  
Selective Sampling ◽  
Large Numbers ◽  
Specific Orientation

Investigations which require electron microscope examination of a few specific areas of non-homogeneous tissues make random sampling of small blocks an inefficient and unrewarding procedure. Therefore, several investigators have devised methods which allow obtaining sample blocks for electron microscopy from region of tissue previously identified by light microscopy of present here techniques which make possible: 1) sampling tissue for electron microscopy from selected areas previously identified by light microscopy of relatively large pieces of tissue; 2) dehydration and embedding large numbers of individually identified blocks while keeping each one separate; 3) a new method of maintaining specific orientation of blocks during embedding; 4) special light microscopic staining or fluorescent procedures and electron microscopy on immediately adjacent small areas of tissue.

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