A Discrete Model of an Extensible String in Three-Dimensional Space

1999 ◽  
Vol 66 (3) ◽  
pp. 695-701 ◽  
Author(s):  
K. Nishinari
Keyword(s):  
Exact Solutions ◽  
Numerical Simulations ◽  
Discrete Model ◽  
Dimensional Space ◽  
Three Dimensional ◽  
New Method ◽  
Continuous Limit ◽  
Soliton Theory ◽  
Basic Equations ◽  
Three Dimensional Space

In this paper, a discrete model of an extensible string in three-dimensional space is presented. The model contains the bending and twisting of a string, and becomes the special Cosserat string in the continuous limit. We also present a new method of analyzing a string in space by the soliton theory, which can reduce the basic equations to a simpler tractable form. Some exact solutions are obtained by the soliton theory. The discrete basic equations are also shown to be suitable for numerical simulations of string dynamics.

scholarly journals Application of SN-EMD in Mode Feature Extraction of Ship Radiated Noise

2018 ◽  
Vol 2018 ◽  
pp. 1-16 ◽  
Author(s):  
Fang Niu ◽  
Juan Hui ◽  
Anbang Zhao ◽  
Yue Cheng ◽  
Yang Chen
Keyword(s):  
High Frequency ◽  
Dimensional Space ◽  
Three Dimensional ◽  
New Method ◽  
Center Frequency ◽  
Radiated Noise ◽  
Mode Decomposition ◽  
Mixing Problem ◽  
Original Information ◽  
Three Dimensional Space

Due to the randomness of added noise, noise-assisted versions based on EMD (empirical mode decomposition) usually cause new “mode mixing” problem. In addition, these algorithms also have problems such as high time-consuming and large recovering error. For the reasons, a new method SN-EMD (Selective Noise-assisted EMD) is put forward in this paper. It determines whether to add noise as assistance by judging whether there is high frequency intermittent component contained in the signal or not. The new method was proved to have the optimal performance by comparing the performance parameters for evaluating the decomposition. In this paper, SN-EMD was used to decompose ship radiated noise. On account of the differences in the original information contained in each mode of radiated noise signals from different ship, we selected the first three modes for processing. Average instantaneous frequency, center frequency, energy density, and energy distribution ratio were extracted as mode feature of ship targets for classification and recognition. Spatial distribution of the feature quantities in three-dimensional space verified similarity of the same target and separability of different targets.

scholarly journals A Three-Dimensional Guidance Logic for Continuous Curvature Path Following

2019 ◽  
Vol 2019 ◽  
pp. 1-11
Author(s):  
Sungsu Park
Keyword(s):  
Numerical Simulations ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Path Following ◽  
Guidance Law ◽  
Virtual Target ◽  
Practical Guidance ◽  
Continuous Curvature ◽  
Projection Point ◽  
Three Dimensional Space

A new simple and practical guidance logic is proposed for a vehicle to follow a general continuous curvature path defined in a three-dimensional space. The proposed guidance logic is formulated in such a way that the guidance law is to generate the command acceleration such that a vehicle pursues the designed moving virtual target, and this eventually makes a vehicle to follow a desired path. The position and velocity of the virtual target are specified explicitly by introducing the concept of the projection point and the tangentially receding distance. Numerical simulations are conducted to evaluate the precise path-following capability of the proposed guidance logic.

ON THE PROBLEM OF RESTORING A FUNCTION IN THREE DIMENSIONAL SPACE BY THE FAMILY OF CONES

2021 ◽  
Vol 10 (11) ◽  
pp. 3505-3513
Author(s):  
Z.Kh. Ochilov ◽  
M.I. Muminov
Keyword(s):  
Weight Function ◽  
Exact Solutions ◽  
Special Form ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Weight Functions ◽  
The Family ◽  
The Given ◽  
Three Dimensional Space

In this paper, we consider the problem of recovering a function in three-dimensional space from a family of cones with a weight function of a special form. Exact solutions of the problem are obtained for the given weight functions. A class of parameters for the problem that has no solution is constructed.

scholarly journals New Approach for Solving Three Dimensional Space Partial Differential Equation

2019 ◽  
Vol 16 (3(Suppl.)) ◽  
pp. 0786 ◽  
Author(s):  
Enadi Et al.
Keyword(s):  
Partial Differential Equations ◽  
Differential Equations ◽  
Exact Solutions ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Partial Differential ◽  
Transform Method ◽  
New Approach ◽  
Practical Implications ◽  
Three Dimensional Space

This paper presents a new transform method to solve partial differential equations, for finding suitable accurate solutions in a wider domain. It can be used to solve the problems without resorting to the frequency domain. The new transform is combined with the homotopy perturbation method in order to solve three dimensional second order partial differential equations with initial condition, and the convergence of the solution to the exact form is proved. The implementation of the suggested method demonstrates the usefulness in finding exact solutions. The practical implications show the effectiveness of approach and it is easily implemented in finding exact solutions.        Finally, all algorithms in this paper are implemented in MATLAB version 7.12.

scholarly journals Generate -Scroll Attractor via Composite Switching Controls

2010 ◽  
Vol 2010 ◽  
pp. 1-9
Author(s):  
Baiyu Ou ◽  
Desheng Liu
Keyword(s):  
Numerical Simulations ◽  
Chaotic Attractor ◽  
Complex Dynamics ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Switched System ◽  
Function Series ◽  
New Type ◽  
Three Dimensional Space

We propose a method for designing chaos generators. We introduce a switched system with three-dimensional space functions for generating a new type of chaotic attractor, and then we introduce saturated function series for generating -scroll chaotic attractor. Moreover, we present some examples with numerical simulations that illustrate the efficiency of our method. The statistic behavior is also discussed, which reveals the regularities in the complex dynamics.

Three-Dimensional Simulation of Virtual Plants Branch Structure Based on Quasi Binary-Tree and L System

2014 ◽  
Vol 1049-1050 ◽  
pp. 1650-1653
Author(s):  
Ying Ying Yin
Keyword(s):  
Binary Tree ◽  
Dimensional Space ◽  
Three Dimensional ◽  
Tree Structure ◽  
New Method ◽  
L System ◽  
Dimensional Simulation ◽  
Binary Tree Structure ◽  
Three Dimensional Space

In order to simulate the plant branch structure in three-dimensional space, and extract the growth more efficiently, this paper presented a new method to simulate the structure of plant branch based on quasi binary-tree structure and three-dimensional L system. The results of the actual trees simulation shows that this method can describe the plants branch structure efficiently and provide a new way for the simulation of plants.

Four Dimensional Holospectrum—A New Method for Analyzing Force Distributions

1997 ◽  
Vol 119 (1) ◽  
pp. 95-104 ◽  
Author(s):  
R. Du ◽  
Yue-Dong Chen ◽  
Yubao Chen
Keyword(s):  
Dimensional Space ◽  
Three Dimensional ◽  
Experimental Tests ◽  
Major Axis ◽  
Minor Axis ◽  
New Method ◽  
Normal Vector ◽  
Force Analysis ◽  
On Line ◽  
Three Dimensional Space

In this paper, a new method, called four dimensional (4D) holospectrum, is introduced for analyzing force distributions. First, it is shown that the dynamics of a three dimensional force can be represented by the holospectrum, which consists of a series of ellipses in a three dimensional space with each ellipse representing the frequency characteristics of the force at a concerned frequency. An ellipse can be described by its normal vector, major axis, minor axis, eccentric ratio, area, and inclination angle. The formula of calculating these quantities are derived next. 4D holospectrum reveals the dynamic characteristics of a three dimensional force such as phase and spatial correlation that cannot be accessed otherwise. As demonstrated by the experimental tests on a spindle, 4D holospectrum adds a new dimension for force analysis and is very valuable for on-line monitoring and diagnosis as well as design.

A New Method to Solving the Internal Mass of Rigid Body Based on the Principle of Inertia Parameters

2013 ◽  
Vol 344 ◽  
pp. 37-40
Author(s):  
Ning Sun ◽  
Huan Yu Li ◽  
Jing Jing Gong
Keyword(s):  
Rigid Body ◽  
Coordinate Transformation ◽  
Dimensional Space ◽  
Three Dimensional ◽  
New Method ◽  
Internal Mass ◽  
System A ◽  
Coordinate Origin ◽  
Inertia Parameters ◽  
Three Dimensional Space

On the basis of Coordinate transformation analysis of the inertia parameters in three-dimensional space, according to the characteristic that the coordinate direction is existed and unique which the product of inertia is 0 when rotating the coordinate system, a new method to judge and calculate the particle information by searching for the intersection of the two lines that lead from two different coordinate origin is proposed. The processes and procedures to calculate the internal mass of rigid body are deduced theoretically. A special numerical example is given to verify the correctness of the theory. The error factors are analyzed qualitatively as well.

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