Constant Speed Motion Simulation and Error Analysis of Planar Non-Circular Curve Parts

2012 ◽  
Vol 220-223 ◽  
pp. 1559-1563
Author(s):  
Rui Wu ◽  
Li Bao ◽  
Yuan Kui Xu
Keyword(s):  
Mathematical Model ◽  
Error Analysis ◽  
Relative Error ◽  
Plane Curve ◽  
Simulation System ◽  
Constant Speed ◽  
Motion Simulation ◽  
Production Practice ◽  
The Mathematical Model ◽  
Circular Curve

The relative direction for a constant speed can be determined according to the planar non-circular curve parts. To establish the mathematical model, a constant speed motion simulation system is designed. The parameters of (vH=5mm/s, δ<3") is commonly used for the simulation system to simulate the movement of drawing the error curve. The results show that by controlling the movement of the plane curve parts in mathematical model can derive the basic constant speed, the relative error of constant speed is less than 3%, it provides a reliable bias when apply to production practice.

scholarly journals Motion Simulation for Triangular-Shaped Autonomous Underwater Vehicle (TAUV) with Controllable Rudder

2021 ◽  
Vol 2107 (1) ◽  
pp. 012046
Author(s):  
I Y Amran ◽  
K Isa
Keyword(s):  
Mathematical Model ◽  
Autonomous Underwater Vehicle ◽  
Research Work ◽  
Underwater Vehicle ◽  
Open Loop ◽  
Vehicle Speed ◽  
Motion Simulation ◽  
Loop Control ◽  
Angular Velocities ◽  
The Mathematical Model

Abstract The dynamic model and motion simulation for a Triangular-Shaped Autonomous Underwater Vehicle (TAUV) with independently controlled rudders are described in this paper. The TAUV is designed for biofouling cleaning in aquaculture cage fishnet. It is buoyant underwater and moves by controlling two thrusters. Hence, in this research work, the authors designed a TAUV that is propelled by two thrusters and maneuvered by using an independently controllable rudder. This paper discussed the development of a mathematical model for the TAUV and its dynamic characteristics. The mathematical model was simulated by using Matlab and Simulink to analyze the TAUV’s motion based on open-loop control of different rudder angles. The position, linear and angular velocities, angle of attack, and underwater vehicle speed are all demonstrated in the findings.

Modeling and Stability Analysis of Hydraulic System for Wave Simulation

2013 ◽  
Vol 291-294 ◽  
pp. 1934-1939
Author(s):  
Jian Jun Peng ◽  
Yan Jun Liu ◽  
Yu Li ◽  
Ji Bin Liu
Keyword(s):  
Mathematical Model ◽  
Stability Analysis ◽  
Mathematical Models ◽  
Hydraulic System ◽  
Simulation System ◽  
Displacement Sensor ◽  
Schematic Diagram ◽  
Wave Simulation ◽  
The Stability ◽  
The Mathematical Model

This thesis put forward a hydraulic wave simulation system based on valve-controlled cylinder hydraulic system, which simulated wave movement on the land. The mathematical model of valve-controlled symmetric cylinder was deduced and the mathematical models of servo valve, displacement sensor and servo amplifier were established according to the schematic diagram of the hydraulic system designed, on the basis of which the mathematical model of hydraulic wave simulation system was obtained. Then the stability of the system was analyzed. The results indicated that the system was reliable.

Checking on the Simulation of the Plane Enveloping Toroidal Worm

2009 ◽  
Vol 626-627 ◽  
pp. 681-686
Author(s):  
Qing Ming Wen ◽  
L.Y. Zhou ◽  
Z.W. Liu
Keyword(s):  
Mathematical Model ◽  
Complex Space ◽  
Three Dimensional ◽  
Plane Curve ◽  
Measuring Method ◽  
Simulation Program ◽  
Simulation Based ◽  
The Mathematical Model

The three-dimensional figure of a toroidal worm is obtained according the simulation based on the mathematical model. The key of this is the authenticity of the worm surface expressed. Comparing a simulating worm with the true worm, the conformational degree between them can be found out. As the worm surfaces are complex space surfaces, so it is difficult to determine the measuring method and reference for the surfaces of a worm. According to the entire analysis's, the symmetry section of the worm is defined as a representing section. The space surface measuring is converted to a plane curve measuring, and the possibly existing error will be analyzed. The experiments for checking two true worms are made to prove the truthfulness and reliability of the simulation program of the plane enveloping toroidal worm.

Research on High-Speed Linking Algorithm of Continuous Small Blocks

2016 ◽  
Vol 693 ◽  
pp. 1611-1617
Author(s):  
Bai Sheng Ye ◽  
Li Qiang Zhang
Keyword(s):  
Mathematical Model ◽  
Machine Tool ◽  
High Speed ◽  
Constant Speed ◽  
Geometrical Constraint ◽  
Parameter Calculation ◽  
The Mathematical Model ◽  
Motion Constraint

Aiming at the corner connection speed of continuous small blocks caused by their angle influences, the speed of transition is low and easy to cause vibration of machine tool. Research on the mathematical model of constant-speed linking of multiple periods is established by using the arc to smooth continuous small blocks, combined with the transition’s geometrical constraint, motion constraint, parameter calculation, the theory is to realize the method of high-speed interpolation of constant-speed linking of multiple periods. The result reveals that the effectiveness and practicability of the proposed method.

scholarly journals Modeling of Marine Asynchronous Shaft Generator and Simulation of Subsynchronization State

2020 ◽  
Vol 2020 ◽  
pp. 1-11
Author(s):  
Yan Langtao ◽  
Tan Jiawan ◽  
Liu Yusheng ◽  
Yang Hui
Keyword(s):  
Mathematical Model ◽  
Physical Quantity ◽  
Simulation System ◽  
Power Decoupling ◽  
Changing Trend ◽  
Stator Flux ◽  
Doubly Fed ◽  
Doubly Fed Machine ◽  
Mathematical Relationships ◽  
The Mathematical Model

The new type of marine asynchronous shaft generator has the advantages of adjustable excitation and power factor, compared to the traditional synchronous shaft generator, and has been widely used. However, the traditional synchronous shaft generator simulation system is still used in domestic ship power station simulators, which seriously restricts the renewal of crew training. In order to overcome the shortage of the simulation system of doubly fed shaft generator for ship power plant simulator, in this paper, the mathematical model of marine doubly fed shaft system is established for the first time, according to the characteristics of doubly fed machine and marine shaft generator. This paper realizes power decoupling by stator flux orientation and simulates and analyses the asynchronous shaft generator under subsynchronous working conditions. The changing trend of each physical quantity in the simulation waveform meets the mathematical relationships of the actual physical quantity, which proves the correctness of the mathematical model and lays a theoretical foundation for the development of the simulation system of asynchronous shaft generator.

Design and Simulation of Five-Fingered Hand with Linkage Mechanism

2013 ◽  
Vol 423-426 ◽  
pp. 2776-2779
Author(s):  
Bao Lin Yin ◽  
Bing Bing Yan ◽  
Jun Fa Wang
Keyword(s):  
Mathematical Model ◽  
Motion Simulation ◽  
Geometrical Constraint ◽  
Linkage Mechanism ◽  
The Mathematical Model

In this paper, the five-fingered hand with linkage mechanism is presented. Four-link mechanisms are used in the design of the finger. Based on the analysis on the geometrical constraint to linkage mechanisms and mechanically coupled, the mathematical model of the linkage parameters for the finger is obtained. An example is given, and motion simulation is carried out, which demonstrate the effectiveness of the mathematical model.

scholarly journals Design, at transistor level, of a neuron with axonic delay

2009 ◽  
Vol 7 (01) ◽  
Author(s):  
E. Mateos Santillán ◽  
J. L. Pérez Silva
Keyword(s):  
Mathematical Model ◽  
Analog Computer ◽  
Simulation System ◽  
Fundamental Part ◽  
Ramp Function ◽  
Leaky Integrator ◽  
Electronic Neuron ◽  
The Mathematical Model ◽  
Type Response

An electronic neuron designed with only transistors, with the idea of being able to develop to future a VLSI integrated microcircuit is presented. The neuron is of leaky integrator type, with a ramp function with saturation type response and axonic delay. In this work we will present the mathematical model of our neuron, and its electronics main characteristics, as fundamental part of our simulation system, the neural analog computer.

Practical feasibility of a high-precision 3-UPU parallel mechanism

Robotica ◽  
2013 ◽  
Vol 32 (3) ◽  
pp. 341-355 ◽  
Author(s):  
Gaurav Bhutani ◽  
T. A. Dwarakanath
Keyword(s):  
Mathematical Model ◽  
Error Analysis ◽  
Parallel Mechanism ◽  
Degrees Of Freedom ◽  
Design Considerations ◽  
Geometrical Constraints ◽  
New Perspective ◽  
The Mathematical Model ◽  
Practical Feasibility ◽  
Novel Design

SUMMARYIn this paper, we revisit the 3-degrees of freedom (DOF) pure translational mechanism. The mathematical model and the design considerations are discussed. A detailed sensitivity and error analysis is carried out and the results are discussed in a new perspective. The feasibility of the practical 3-DOF pure translational mechanism is established with novel design considerations to take care of theoretical mobility and geometrical constraints. We describe and validate the theoretical observations with stage-wise prototype models and experiments. The experimental results concur that all is well with 3-UPU in contrast to what is presented in refs. [6, 9, 10].

The Study of the Mathematical Model between Thermal Conductivity and Graphitization Degree of Different Carbon Materials

2011 ◽  
Vol 233-235 ◽  
pp. 3010-3013 ◽  
Author(s):  
Lian Xing Wang ◽  
Yan Wen Zhang ◽  
Ming Lin Jin ◽  
Xiao Long Zhou ◽  
Yang Hu
Keyword(s):  
Thermal Conductivity ◽  
Mathematical Model ◽  
Relative Error ◽  
Carbon Materials ◽  
Test Results ◽  
Application Research ◽  
Graphitization Degree ◽  
Factors Influencing ◽  
Different Types ◽  
The Mathematical Model

This article chose three different types of carbon materials as objects, through analyzing the various factors influencing the thermal conductivity; we were to raise the basic mathematical model between the thermal conductivity and graphitization degree. At the same time the correct value in some articles was chosen to establish the corresponding mathematical model of three kinds of carbon materials. After inspection by test results, This model’s relative error was within 7%.The model brought up by this paper has the vital significance to predict the thermal conductivity of the carbon materials and guide the deep application research.

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