Transient 1D Mathematical Model for Drum Brake System to Predict the Temperature Variation with Realistic Boundary Conditions

This paper focuses on development of a new mathematical model and its analytical solution for buckling analysis of elastic columns weakened simultaneously with transverse open cracks and partial longitudinal delamination. Consequently, the analytical solution for buckling loads is derived for the first time. The critical buckling loads are calculated using the proposed analytical model. A parametric study is performed to investigate the effects of transverse crack location and magnitude, length and degree of partial longitudinal delamination, and different boundary conditions on critical buckling loads of weakened columns. It is shown that the critical buckling loads of weakened columns can be greatly affected by all the analyzed parameters. Finally, the presented results can be used as a benchmark solution.

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AGV Brake System Simulation

LOGI – Scientific Journal on Transport and Logistics ◽

10.2478/logi-2019-0001 ◽

2019 ◽

Vol 10 (1) ◽

pp. 1-9 ◽

Cited By ~ 4

Author(s):

Daniel Varecha ◽

Robert Kohar ◽

Frantisek Brumercik

Keyword(s):

Mathematical Model ◽

Input Data ◽

Initial Conditions ◽

Brake System ◽

Disc Brake ◽

Hydraulic Control ◽

Stopping Distance ◽

Braking Force ◽

Braking Process ◽

The Mathematical Model

Abstract The article is focused on braking simulation of automated guided vehicle (AGV). The brake system is used with a disc brake and with hydraulic control. In the first step, the formula necessary for braking force at the start of braking is derived. The stopping distance is 1.5 meters. Subsequently, a mathematical model of braking is created into which the formula of the necessary braking force is applied. The mathematical model represents a motion equation that is solved in the software Matlab by an approximation method. Next a simulation is created using Matlab software and the data of simulation are displayed in the graph. The transport speed of the vehicle is 1 〖m.s〗^(-1) and the weight of the vehicle is 6000 kg including load. The aim of this article is to determine the braking time of the device depending from the input data entered, which represent the initial conditions of the braking process.

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Influence of Nano-Fluid Lubrication On Single Porous-Layered Journal Bearing: A Hypothetical Approach

10.21203/rs.3.rs-225735/v1 ◽

2021 ◽

Author(s):

BIPLAB BHATTACHARJEE ◽

PRASUN CHAKRABORTI ◽

KISHAN CHOUDHURY

Keyword(s):

Mathematical Model ◽

Boundary Conditions ◽

Micropolar Fluid ◽

Journal Bearing ◽

Performance Characteristics ◽

Published Data ◽

Nano Fluid ◽

Nano Lubricant ◽

Output Characteristics ◽

Modified Darcy’S Law

Abstract In this article a mathematical model of single layered nano-fluid lubricated PJB (porous journal bearing) has been formulated. The nano-lubricant's impact on the efficiency of said journal bearing has been studied using modified Darcy's law and boundary conditions. The different nanoparticles often used as an additive in industrial lubricating oils improve their viscosity significantly. The brief description of dimensionless performance characteristics of the investigated bearing was obtained by the use of the nano-lubricant's modified Krieger-Dougherty viscosity model. The observations revealed that the output characteristics are substantially improved by using nano-lubricant. The present study was validated by comparing the findings of recently published data with micropolar fluid and was found to be completely compatible since data with nano-lubricant are still unavailable.

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