Vibrostability Peculiarities of Disk Brake in Automobile Anti-Lock Braking System

2005 ◽  
Author(s):  
A. K. Pogosian ◽  
A. O. Bakhshyan ◽  
A. A. Tamrazov
Keyword(s):  
Mathematical Model ◽  
Calculation Method ◽  
Brake Pads ◽  
Disk Brake ◽  
Braking System ◽  
Oscillation Process ◽  
Braking Process ◽  
System Disk ◽  
The Impact ◽  
Braking Dynamics

On the basis of the automobile braking mathematical model describing brake pads oscillation process taking into account the influence of anti-lock braking system, disk brake vibrostability calculation method is worked out. As a result the algorithm of differential equations solving that describe the dynamics of automobile braking process is proposed. Considered model of braking dynamics establish interaction between braking and tire-road coupling moments. The calculations of disk brake vibrostability taking into consideration the impact of anti-lock braking system action are carried out.

scholarly journals Thermal Analysis of Disc Brake System

2021 ◽  
Vol 9 (8) ◽  
pp. 1819-1826
Author(s):  
Srushti Newase
Keyword(s):  
Thermal Analysis ◽  
Thermal Stresses ◽  
Disc Brake ◽  
Surface Cracking ◽  
Brake Pads ◽  
Braking System ◽  
Brake Rotor ◽  
Braking Process ◽  
The Right ◽  
Safety Systems

Abstract: Brakes are one of the most significant safety systems in an automobile. In the braking process, the rotor will be exposed to large stresses which result in surface cracking, overheating of brake fluid, seals and other components. Therefore one of the main tasks of the braking system is to reduce the surface temperature of the brake rotor. This can be achieved by choosing the right material which will undergo the least thermal stresses. In this project, thermal analysis for vented disc brake rotor of Mahindra Bolero’s done, for providing an efficient material for disc brake rotor and brake pads which can dissipate heat generated during braking at faster rate and also being structurally safe. Keywords: Braking system, Disc Brake Rotor, Thermal, Structural Analysis, CATIA V5, ANSYS WORKBENCH

scholarly journals Blending Control of Trolleybus Traction and Brake Drives to Enhance Braking Efficiency of Vehicle

2021 ◽  
Vol 20 (2) ◽  
pp. 132-141
Author(s):  
A. I. Safonau
Keyword(s):  
Mathematical Model ◽  
Electric Motor ◽  
Public Transport ◽  
Road Traffic ◽  
Brake System ◽  
Electric Transport ◽  
Braking System ◽  
Promising Tool ◽  
Braking Process ◽  
Traction Electric Motor

The widespread use of green public transport is a priority strategy to reduce a congestion and pollution from road traffic in many cities. The trolleybus is a type of urban public electric transport, which is considered as a promising tool for  increasing the efficiency of public transport and achieving the goals of sustainable development and quality of life in the city. The operation control of service brake system and secondary brake system (braking torque of traction electric motor) is realized with the help of one pedal in the trolleybus. Thus, there are modes of joint operation for these systems during the braking process. The author has focused his main attention on the development of an algorithm for blending control of the traction electric motor and the anti-lock braking system to enhance the overall braking efficiency of a vehicle. For this purpose, a mathematical model of the trolleybus braking dynamics has been developed. Bench and road tests have been carried out on various road surfaces to determine parameters of vehicle braking efficiency and to validate the developed mathematical model. The corresponding experimental data were used to analyse the efficiency of the proposed strategy for combining the blending control of traction electric motor and anti-lock braking system of the trolleybus. As a result, the efficiency of the proposed control algorithm has been confirmed, which provides the required braking efficiency and high braking stability of the vehicle. 

Study on the Dynamic Interaction between Agricultural Tractor and Trailer during Braking Using Lagrange Equation

2014 ◽  
Vol 659 ◽  
pp. 515-520
Author(s):  
Mircea Nastasoiu ◽  
Nicolae Ispas
Keyword(s):  
Mathematical Model ◽  
Lagrange Equation ◽  
Dynamic Interaction ◽  
Braking System ◽  
System 1 ◽  
The Mathematical Model ◽  
Braking Dynamics ◽  
Agricultural Tractor

The paper elaborates a mathematical model in order to study the dynamics of tractor-trailer systems during braking. The braking dynamics is analyzed by considering two versions for the tractor’s braking system: 1) braking applied on the rear wheels and 2) braking applied on all four wheels. In both versions the trailer is braked on all wheels. This model enables us to determine the evolution of the following parameters: braking deceleration, braking forces, and force at the tractor-trailer hitch point. The authors present applications of the mathematical model elaborated on a tractor-trailer system used for transportation works.

scholarly journals The Impact of the Efficiency of the System for Vibrations Damping on the Efficiency of Vehicle Braking

2018 ◽  
Vol 3 (1-2) ◽  
Author(s):  
N Manojlović ◽  
Drago Talijan ◽  
B Bajić
Keyword(s):  
Mathematical Model ◽  
Traffic Accidents ◽  
Braking System ◽  
Shock Absorbers ◽  
Two Systems ◽  
The Moment ◽  
The Impact ◽  
Vehicle Movement

This paper presents the plan and results of the research of the efficiency of the braking system depending on the condition of the shock absorbers and the velocity of the vehicle movement at the moment of braking. As expected, it has been proven that the braking efficiency decreases with decreasing efficiency of the system for damping vibrations. The interdependence of these two systems is also represented by a mathematical model that can serve for practical purposes in the analysis of traffic accidents.

scholarly journals EFFICIENCY OF A BRAKING PROCESS EVALUATING THE ROUGHNESS OF ROAD SURFACE

Transport ◽  
2006 ◽  
Vol 21 (1) ◽  
pp. 3-7 ◽  
Author(s):  
Marijonas Bogdevičius ◽  
Oleg Vladimirov
Keyword(s):  
Traffic Safety ◽  
Asphalt Concrete ◽  
Dynamic Models ◽  
Road Surface ◽  
The Road ◽  
Disk Brake ◽  
Braking System ◽  
Braking Process ◽  
Asphalt Concrete Pavement

Transport traffic safety depends on many factors; one of them being the efficiency of the vehicle braking. The efficiency of the vehicle depends on the reaction of the driver, the braking system, the quality of tires, the characteristics of the road surface. The vehicle with the hydraulic braking system and a disc brake with the wheel has been investigated. The dynamic models of the disk brake assembly and the wheel have been constructed. The braking distances of the vehicle with a hydraulic ABS on the asphalt concrete pavement with shortwave roughness and different initial velocity are obtained.

Comparative analysis into the tractor-trailer braking dynamics: tractor with single axle brakes, tractor with all wheel brakes

2014 ◽  
Vol 4 (2) ◽  
Author(s):  
Mircea Nastasoiu ◽  
Nicolae Ispas
Keyword(s):  
Mathematical Model ◽  
Comparative Analysis ◽  
Rear Axle ◽  
Braking System ◽  
System 1 ◽  
The Mathematical Model ◽  
Braking Dynamics

AbstractThe paper elaborates a mathematical model in order to conduct a study into the dynamics of tractor-trailer systems during braking. The braking dynamics is analyzed by considering two versions for the braking system: 1) braking applied on the rear axle and 2) braking applied on all four wheels. In both versions the trailer is braked on all wheels. The mathematical model enables us to determine and graphically illustrate the evolution of the following parameters: braking deceleration, braking speed and the distance traveled by the tractor during braking. The mathematical model elaborated is applied on a tractor-trailer system completing transportation works.

The analysis of the influential parameters that cause particles formation during the braking process: A review

2021 ◽  
pp. 135065012110047
Author(s):  
Sasa Vasiljevic ◽  
Jasna Glišović ◽  
Blaza Stojanovic ◽  
Nadica Stojanovic ◽  
Ivan Grujic
Keyword(s):  
Rotating Disc ◽  
Laboratory Methods ◽  
Factors Affecting ◽  
Brake Pads ◽  
Braking System ◽  
Exhaust Particles ◽  
Brake Wear ◽  
Materials Used ◽  
Braking Process ◽  
Influential Parameters

The braking system is one of the important systems from the aspect of vehicle safety, but it is also one of the systems that has a significant impact on the environment. Brakes are considered to be a source of non-exhaust particles, that is sources that create particles by the wear of the elements that are in contact with each other, and in this case, the brake friction elements (brake pads and rotating disc). Such particles often contain heavy metals that are part of the friction elements. There are a number of influencing factors that can affect the wear of the friction elements and increase the concentration of the formed particles. Laboratory methods of testing wear and particle formation, road tests and various simulations of brake wear are most often used for testing. In this paper, a review of methodologies for testing the formation of particles from the braking system, the materials used in the composition of the friction elements of the brake, as well as factors affecting the wear rate and concentration of particles of different sizes, based on the conclusions of other authors is presented. Based on this review, it can be concluded which quantities and factors need special attention during further research in the mechanism of formation of non-exhaust particles whose source is the vehicle braking system.

The Impact of Light Polarisation on Light Field of Scenes with Multiple Reflections

2020 ◽  
pp. 108-115 ◽  
Author(s):  
Vladimir P. Budak ◽  
Anton V. Grimaylo
Keyword(s):  
Mathematical Model ◽  
Light Field ◽  
Global Illumination ◽  
Multiple Reflections ◽  
Software Environment ◽  
The Monte Carlo Method ◽  
Mueller Matrices ◽  
Volume Integration ◽  
The Impact

The article describes the role of polarisation in calculation of multiple reflections. A mathematical model of multiple reflections based on the Stokes vector for beam description and Mueller matrices for description of surface properties is presented. On the basis of this model, the global illumination equation is generalised for the polarisation case and is resolved into volume integration. This allows us to obtain an expression for the Monte Carlo method local estimates and to use them for evaluation of light distribution in the scene with consideration of polarisation. The obtained mathematical model was implemented in the software environment using the example of a scene with its surfaces having both diffuse and regular components of reflection. The results presented in the article show that the calculation difference may reach 30 % when polarisation is taken into consideration as compared to standard modelling.

Analyzing the Impact of Healthy Behavior on Weight Change with a Provable Mathematical Model (Preprint)

2020 ◽  
Author(s):  
Ayan Chatterjee ◽  
Ram Bajpai ◽  
Pankaj Khatiwada
Keyword(s):  
Physical Activity ◽  
Mathematical Model ◽  
Health Behavior ◽  
Weight Change ◽  
Simulated Data ◽  
Negative Behavior ◽  
Healthy Behavior ◽  
Healthy Habits ◽  
Lifestyle Diseases ◽  
The Impact

BACKGROUND Lifestyle diseases are the primary cause of death worldwide. The gradual growth of negative behavior in humans due to physical inactivity, unhealthy habit, and improper nutrition expedites lifestyle diseases. In this study, we develop a mathematical model to analyze the impact of regular physical activity, healthy habits, and a proper diet on weight change, targeting obesity as a case study. Followed by, we design an algorithm for the verification of the proposed mathematical model with simulated data of artificial participants. OBJECTIVE This study intends to analyze the effect of healthy behavior (physical activity, healthy habits, and proper dietary pattern) on weight change with a proposed mathematical model and its verification with an algorithm where personalized habits are designed to change dynamically based on the rule. METHODS We developed a weight-change mathematical model as a function of activity, habit, and nutrition with the first law of thermodynamics, basal metabolic rate (BMR), total daily energy expenditure (TDEE), and body-mass-index (BMI) to establish a relationship between health behavior and weight change. Followed by, we verified the model with simulated data. RESULTS The proposed provable mathematical model showed a strong relationship between health behavior and weight change. We verified the mathematical model with the proposed algorithm using simulated data following the necessary constraints. The adoption of BMR and TDEE calculation following Harris-Benedict’s equation has increased the model's accuracy under defined settings. CONCLUSIONS This study helped us understand the impact of healthy behavior on obesity and overweight with numeric implications and the importance of adopting a healthy lifestyle abstaining from negative behavior change.

scholarly journals Nanofluid flow containing carbon nanotubes with quartic autocatalytic chemical reaction and Thompson and Troian slip at the boundary

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Muhammad Ramzan ◽  
Jae Dong Chung ◽  
Seifedine Kadry ◽  
Yu-Ming Chu ◽  
Muhammad Akhtar
Keyword(s):  
Mathematical Model ◽  
Carbon Nanotubes ◽  
Drag Force ◽  
Chemical Reaction ◽  
Slip Velocity ◽  
Volume Fraction ◽  
Surface Drag ◽  
Nanofluid Flow ◽  
Velocity Parameter ◽  
The Impact

Abstract A mathematical model is envisioned to discourse the impact of Thompson and Troian slip boundary in the carbon nanotubes suspended nanofluid flow near a stagnation point along an expanding/contracting surface. The water is considered as a base fluid and both types of carbon nanotubes i.e., single-wall (SWCNTs) and multi-wall (MWCNTs) are considered. The flow is taken in a Dacry-Forchheimer porous media amalgamated with quartic autocatalysis chemical reaction. Additional impacts added to the novelty of the mathematical model are the heat generation/absorption and buoyancy effect. The dimensionless variables led the envisaged mathematical model to a physical problem. The numerical solution is then found by engaging MATLAB built-in bvp4c function for non-dimensional velocity, temperature, and homogeneous-heterogeneous reactions. The validation of the proposed mathematical model is ascertained by comparing it with a published article in limiting case. An excellent consensus is accomplished in this regard. The behavior of numerous dimensionless flow variables including solid volume fraction, inertia coefficient, velocity ratio parameter, porosity parameter, slip velocity parameter, magnetic parameter, Schmidt number, and strength of homogeneous/heterogeneous reaction parameters are portrayed via graphical illustrations. Computational iterations for surface drag force are tabulated to analyze the impacts at the stretched surface. It is witnessed that the slip velocity parameter enhances the fluid stream velocity and diminishes the surface drag force. Furthermore, the concentration of the nanofluid flow is augmented for higher estimates of quartic autocatalysis chemical.

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