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 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.

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.

Assessment of roadability and stability of a vehicle movement on the bend

2020 ◽  
Keyword(s):  
Mathematical Model ◽  
Road Surface ◽  
Inertia Force ◽  
Speed Limit ◽  
The Road ◽  
Inertial Moment ◽  
The Mathematical Model ◽  
Computer Imitation ◽  
Vehicle Movement

The paper presents the mathematical model and the technique of computer imitation of a vehicle movement on bend. Research of roadability and stability of the truck and the schedules illustrating change of characteristics of the steered movement have been obtained. The critical modes of the movement causing separation of wheels from road surface and side slippage have been defined. Speed limit of the steered movement on trajectory of the set curvature have been determined. Keywords vehicle, wheel, cross and longitudinal reactions of the road, inertia force, inertial moment, trajectory of a vehicle movement, angles of withdrawal of wheels, spring weight angle of heel, side slippage, vehicle drift

scholarly journals Design and Kinematics Analysis of Suspension System for a Formula Society of Automotive Engineers (FSAE) Car

2021 ◽  
pp. 48-63
Author(s):  
K. Sriram ◽  
K. Anirudh ◽  
B. Jayanth ◽  
J. Anjaneyulu
Keyword(s):  
Vehicle Control ◽  
Simulation Software ◽  
Suspension System ◽  
Road Surface ◽  
Kinematics Analysis ◽  
Kinematic Simulation ◽  
Kinematic Design ◽  
The Road ◽  
Adams Simulation

The main objective of the Suspension of a vehicle is to maximize the contact between the vehicle tires and the road surface, provide steering stability and provide safe vehicle control in all conditions, evenly support the weight of the vehicle, transfer the loads to springs, and guaranteeing the comfort of the driver by absorbing and dampening shock. This paper discusses the kinematic design of a double a-arm Suspension system for an FSAE Vehicle. The hardpoint’s location can be determined using this procedure to simulate motion in any kinematic simulation software. Here, Optimum Kinematics is used as kinematic simulation software, and the results are verified using Msc Adams simulation. The method illustrated deals with the basics of Kinematics which helps to predict the characteristics of the Suspension even before simulating it in the kinematic simulation software.

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.

Floating Body Equilibrium by Potential-Energy Minimization

1991 ◽  
Vol 28 (03) ◽  
pp. 153-162
Author(s):  
Antonio Campanile
Keyword(s):  
Potential Energy ◽  
Energy Minimization ◽  
Stable Equilibrium ◽  
Mathematical Formulation ◽  
Floating Body ◽  
Offshore Platforms ◽  
Equilibrium Equations ◽  
Hull Form ◽  
Computer Based ◽  
Marine Vehicle

The paper presents a computer-based approach aiming to solve the equilibrium equations of a floating body by means of potential-energy minimization. After a brief and general discussion, the principle that the potential energy of the system must be at a minimum is adopted as the condition for identifying the stable equilibrium positions of a marine vehicle. A consistent mathematical formulation is then developed. The problem is solved, therefore, by searching for the minimum of a function of three variables using a simple and efficient iterative method. This makes it possible for the equilibrium positions to be determined directly, unlike the classic methods-that is, without any previously constructed table of hydrostatic data and regardless of the magnitude of waterplane rotation compared with the initial orientation. No restriction is stipulated on hull form. Some study cases relating to a prismatic barge and a jacket-type platform are presented and analyzed. Relevant numerical results allow the procedure to be optimized so as to improve convergence. Finally, peculiar features of the proposed method are discussed, with particular reference to jacket-type offshore platforms, and further valuable applications are indicated.

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.

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