Kinematics Analysis and Numerical Method for Multi-Link Suspension

2011 ◽  
Vol 314-316 ◽  
pp. 810-814
Author(s):  
Mo Wu Lu ◽  
Wei Qiang Zhao
Keyword(s):  
Mathematical Model ◽  
Numerical Method ◽  
Matrix Method ◽  
Kinematics Analysis ◽  
Computer Based

This paper presents a numerical method for kinematics analysis of Multi-link suspension based on displacement matrix method. A mathematical model for kinematics analysis of multi-link suspension is established and the kinematical properties of multi-link suspension are analyzed using this method. The numerical method for solving this problem is discussed and the relevant program is developed. This method simplifies the solving process of kinematics properties analysis of multi-link suspension and is efficient especially for computer-based solving process.

Elastic-Kinematics Analysis and Numerical Method for Five-Rod Suspension

2011 ◽  
Vol 308-310 ◽  
pp. 27-34 ◽  
Author(s):  
Mo Wu Lu ◽  
Wei Qiang Zhao
Keyword(s):  
Mathematical Model ◽  
Numerical Method ◽  
Matrix Method ◽  
Road Surface ◽  
Equilibrium Theory ◽  
Kinematic Pair ◽  
Kinematics Analysis ◽  
Equilibrium Equations ◽  
Computer Based ◽  
Equilibrium Location

This paper presents a numerical method for elastic-kinematics analysis of five-rod suspension based on displacement matrix method and spatial body equilibrium theory. A mathematical model for elastic-kinematics analysis of five-rod suspension is established and equilibrium equations of suspension are derived. The method for calculating equilibrium location of suspension when counterforce of road surface acts on the wheel is discussed on the precondition of considering the influence of the elasticity of each kinematic pair on suspension and not considering it. This method simplifies the solving process of elastic-kinematics analysis of five-rod suspension and is efficient especially for computer-based solving process.

Kinematics Analysis and Numerical Method of Mcpherson Suspension

2011 ◽  
Vol 314-316 ◽  
pp. 1444-1448
Author(s):  
Mo Wu Lu ◽  
Wei Qiang Zhao
Keyword(s):  
Mathematical Model ◽  
Numerical Method ◽  
Matrix Method ◽  
Kinematics Analysis ◽  
Computer Based

This paper presents a numerical method for kinematics analysis of Mcpherson suspension based on displacement matrix method. A mathematical model for kinematics analysis of Mcpherson suspension is established and the kinematical properties of Mcpherson suspension are analyzed using this method. The numerical method for solving this problem is discussed and the relevant program is developed. This method simplifies the solving process of kinematics properties analysis of Mcpherson suspension and is efficient especially for computer-based solving process.

Displacement Analysis of the 3SPS-3CCS Mechanism Based on Hyper-Chaotic Damp Least Square Method

2011 ◽  
Vol 55-57 ◽  
pp. 2092-2098
Author(s):  
You Xin Luo ◽  
Qi Yuan Liu ◽  
Xiao Yi Che ◽  
Bin Zeng
Keyword(s):  
Mathematical Model ◽  
Real Number ◽  
Matrix Method ◽  
Parallel Mechanism ◽  
Least Square Method ◽  
Least Square ◽  
Forward Displacement ◽  
Displacement Analysis ◽  
Chaotic Sequences ◽  
Chaos System

The forward displacement analysis of parallel mechanism is attributed to find the solutions of complicated nonlinear equations and it is a very difficult process. Taking chaotic sequences as the initial values of the damp least square method, we can find all the solutions of equations quickly. Making use of existing chaos system and discovering new chaos system to generate chaotic sequences with good properties is the key to the damp least square method based on Chaos sequences. Based on utilizing hyper-chaotic Hénon mapping to obtain initial points, a new method of finding all real number solutions of the nonlinear questions is proposed. Using cosine matrix method, the author established the mathematical model of forward displacement for the generalized 3SPS-3CCS parallel robot mechanism and a numerical example is given. Compared to the quaternion method building mathematical model, the result shows cosine matrix method building mathematical model and hyper-chaotic damp least square method to find solution is brief and high calculation efficiency as the calculation is done in real number range. The proposed method has universality which can be used in forward displacement of other parallel mechanism.

Simulation and 3D-Solid Modeling of Skew Bevel Gear

2011 ◽  
Vol 121-126 ◽  
pp. 4685-4689
Author(s):  
Luo Ping Zhang ◽  
Jing Fu ◽  
Bo Yuan Yang
Keyword(s):  
Mathematical Model ◽  
Basic Concept ◽  
Grid Point ◽  
Counting Function ◽  
Tooth Surface ◽  
Solid Modelling ◽  
Kinematics Analysis ◽  
Bevel Gears ◽  
3D Solid ◽  
3D Solid Modeling

In this paper, the basic concept and specific steps of establishing skew bevel gears mathematical model using conjugate meshing principle was introduced. Numerical value counting function of MATLAB was used to collect coordinate of tooth surface grid point, and under the Pro/E environment, data document of coordinate created by MATLAB was imported to establish tooth surface modeling , relying on the powerful function of complicated curve modelling, 3D solid modelling of gear was completed. The results via motion analysis kinematics analysis and interference inspecting under assembling condition show the accuracy of the design ,which supports further design, analysis and manufacture.

KINEMATIC WAVE EQUATIONS FOR MOVABLE RIVERBEDS

2021 ◽  
pp. 43-54
Author(s):  
A. N. Krutov ◽  
◽  
S. Ya. Shkol’nikov ◽  
Keyword(s):  
Mathematical Model ◽  
Numerical Method ◽  
Wave Equations ◽  
Simple Wave ◽  
Kinematic Wave ◽  
Calculation Results ◽  
Self Similar ◽  
Similar Solutions ◽  
The Mathematical Model ◽  
Good Agreement

The mathematical model of kinematic wave, that is widely used in hydrological calculations, is generalized to compute processes in deformable channels. Self-similar solutions to the kinematic wave equations, namely, the discontinuous wave of increase and the “simple” wave of decrease are generalized. A numerical method is proposed for solving the kinematic wave equations for deformable channels. The comparison of calculation results with self-similar solutions revealed a good agreement.

Instability modelling of drumlin formation incorporating lee-side cavity growth

2009 ◽  
Vol 465 (2109) ◽  
pp. 2681-2702 ◽  
Author(s):  
A. C. Fowler
Keyword(s):  
Mathematical Model ◽  
Free Boundary ◽  
Numerical Method ◽  
Boundary Problem ◽  
Free Boundary Problem ◽  
Cavity Growth ◽  
Finite Amplitude ◽  
Two Dimensional

It is proposed that the formation of the subglacial bedforms known as drumlins occurs through an instability associated with the flow of ice over a wet deformable till. We pose a mathematical model that describes this instability, and we solve a simplified version of the model numerically in order to establish the form of finite-amplitude two-dimensional waveforms. A feature of the solutions is that cavities frequently form downstream of the bedforms; we allow the model to cater for this possibility and we provide an efficient numerical method to solve the resulting free boundary problem.

Modeling the PV Power Systems Storage Batteries Charging Characteristics

2017 ◽  
Vol 0 (0) ◽  
Author(s):  
E. M. Diaconu
Keyword(s):  
Mathematical Model ◽  
Power Systems ◽  
Numerical Method ◽  
Interpolation Method ◽  
Source Code ◽  
Photovoltaic Panels ◽  
Data Acquisition Board ◽  
Code Algorithm ◽  
Storage Batteries ◽  
Theoretical Results

Abstract In this paper, a numerical method is presented for measuring and analyzing the characteristics of the charging process for nine photovoltaic panels storage batteries systems. The data was collected with the PV charger module which has a built-in data acquisition board. A source code algorithm written in Matlab is developed to obtain a mathematical model for the characteristics of the charging process of the batteries connected to the PV panels. Using the interpolation method, a mathematical model is obtained. The numerical error between experimental and theoretical results prove that the method is accurate.

scholarly journals A New Approach to Numerical Solution of Nonlinear Klein-Gordon Equation

2013 ◽  
Vol 2013 ◽  
pp. 1-7 ◽  
Author(s):  
Berna Bülbül ◽  
Mehmet Sezer
Keyword(s):  
Exact Solutions ◽  
Numerical Solution ◽  
Numerical Method ◽  
Error Estimation ◽  
Matrix Method ◽  
Gordon Equation ◽  
New Approach ◽  
Collocation Points ◽  
Klein Gordon ◽  
Klein Gordon Equation

A numerical method based on collocation points is developed to solve the nonlinear Klein-Gordon equations by using the Taylor matrix method. The method is applied to some test examples and the numerical results are compared with the exact solutions. The results reveal that the method is very effective, simple, and convenient. In addition, an error estimation of proposed method is presented.

scholarly journals DEVELOPING COMPUTER-BASED SCHEDULE DELAY ANALYSIS METHODS BASED ON INFORMATION FLOW ANALYSIS: A CASE STUDY

2013 ◽  
Vol 19 (6) ◽  
pp. 823-835 ◽  
Author(s):  
Ming-Kuan Tsai ◽  
Jyh-Bin Yang ◽  
Nie-Jia Yau
Keyword(s):  
Mathematical Model ◽  
Information Flow ◽  
Flow Analysis ◽  
Delay Analysis ◽  
Information Flow Analysis ◽  
Schedule Delay ◽  
Analysis Methods ◽  
Computer Based ◽  
Model Schedule

Schedule analysts often resolve diverse schedule delay problems in construction projects based on their subjective experiences. Although various process-based and mathematical-model schedule delay analysis methods are available for effective schedule delay analysis, these methods require time-consuming manual operation. The use of computer-based schedule delay analysis methods seems to be a solution. However, schedule analysts still have difficulty developing computer-based schedule delay analysis methods. Therefore, this study applies information flow analysis to classify the necessary work to develop computer-based schedule delay analysis methods. In contrast to numerous studies that focus only on computerizing a process-based or a mathematical-model schedule delay analysis method, this study constructs a computer-based method that integrates two process-based schedule delay analysis methods simultaneously. In a tested case study, the delay liability for the project owner and contractor was classified successfully. Importantly, this study provides a useful reference for similar applications in project management.

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