Browsing by Author "Ajide, O. O."

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Application of average positive lyapunov in estimation of chaotic response peak excitation frequency of harmonically excited pendulum
(International Journal of Advances in Engineering and Technology, 2013-07) Salau, T. A. O.; Ajide, O. O.
"The fact that the drive parameters space of harmonically excited pendulum consist of mix parameters combination leading to different dynamics phenomena including chaotic and periodic responses is a strong motivation for this study aim at estimating the peak frequency that favour chaotic response. Simulation of pendulum and estimation of the average Lyapunov exponents by Grahm Schmidt Orthogonal rules at parameter nodal points selected from damp quality (2.0≤q≤ 4.0). excitation amplitude (0.9≤g ≤1.5) and drive frequency (0.5 ≤ ωD≤1.0) were effected using popular constant time step Runge-Kutta schemes (RK4, RK5 and RK5B) from two initial conditions through transient and steady periods. The impact of resolution on the measure of percentage of parameters combination leading to chaotic response (PPCLCR) was examined at resolution levels (RI to R5) for increasing drive frequency. The validation cases were from those reported by Gregory and Jerry (1990) for (ώᶹ,q,g≡ 2/3,4,1.5) and (ωυq,g≡ 2/3,4,1.5) simulated from (0. 0) initial conditions. Corresponding validation results compare well with reported results of Gregory and Jerry (1990). The estimated peak frequency (0.6 radian /s) is the same across studied resolutions initial conditions and Runge-Kutta schemes. The peak value of PPCLCR is 69.5. 69.4 and 69.4 respectively for RK4. RK5 and RK5B at initial conditions (0. 0). When initial conditions is (I. 0) the corresponding PPCLR value changes in significantly to 69.6. 69.7 and 69.6 for RK4, RK5 and RK5B. Therefore affirms the utility and reliability of Lyapunov exponent as chaotic response identification tool. "
Chaos diagram of harmonically excited vibration absorber control duffing's oscillator
(International Journal of Scienctific and Engineering Reasearch, 2013-02) Salau, T. A. O.; Ajide, O. O.
"This study utilised positive Lyapunov exponents' criteria to develop chaos diagram on the parameters space of 4-dimensionalharmonically excited vibration absorber control Duffing's Oscillator. Relevant simulations were effected by choice combination of constant step Runge-Kutta methods and Grahm Schmidt Orthogonal rules. Simulations of 4-dimensional hyper-chaotic models of modified Lorenz and RÖsier were used for validation purposes. Lyapunov's spectrums were obtained at (197 x 301) mesh points of parameters space (µ,αa). Lyapunov's spectrum of modified Lorenz system by constant time step (NRK1) fourth order Runge-Kutta method (04208.01650. - 0.0807, -26.4603) compare correspondingly well with (0.4254, 0.1286, 0.0000, -26.5493) reported by Yuxia et et. Similarly, Lyapunovs spectrum of modified Rosier system by constant time step (NRK1) fourth order Runge-Kutta method (0.1424, 0.0051, -0.0041, -24.0831) compare correspondingly and qualitatively with (0.1287, 0.0149, -0.0056, -22.8617) reported by Marco (1996). The sum of Lyapunov exponents (-22.7237, -31.3107, -27.8797) in Rosier compare correspondingly and qualitatively with variation matrix measure -AVERT (- 24.0181, -30.9462, -28.1991) respectively for fourth, fifth and modified fifth order Runge-Kutta methods. The chaos diagram results suggested preferentially higher mass ratio for effective chaos control of Duffing's Oscillator main mass. The parameters space in the region of relative lower mass ratio suffered irregular boundaries. The practical applications of this chaos diagram plot include, by instance, walking in the parameters-space of vibration absorber control Duffing's Oscillator along suitable engineering paths. "
Comparative analysis of simulation time in non linear and harmonically excited pendulum and duffing oscillators
(Council for Innovative Research, 2013-08) Salau, T. A. O.; Ajide, O. O.
"The motivation for the present study is derived from the fact that time rnanagernent is an integral part of good engineering practice. The present study investigated the quantification of the required computation time using two nonlinear and harmonically excited oscillators (Pendulum and Duffing) as case studies. Simulations with personal computer were effected for Runge-Kutta schemes (RK2, RK3, RK4, RK5, RK5M) and one blend (RKB) over thirty five thousand and ten excitation periods consisting the unsteady and steady solutions. The need for validation of the develope,d FORTRAN90. codes by comparing Poincare results with their conterpart from the literature informed the choice of simulation parameters However, the simulation time was monitored at three lengths of excitation period (15000, 25000 and 35000) using the current time subroutine call command. The validation Poincare results obtained for all the schemes including RKB compare well with the counterpart available in the literature for both Pendulum and Duffing. The actual computation time increases with increasing order of scheme. But suffered a decrease for the blended scheme. The diffencerence in computation time required between RK5 and RK5M is negligible for all studied cases. The actual computational time for Duffing (5-33seconds) remain consistently higher for corresponding Pendulum (3-23seconds) with difference (2-10seconds). Interestingly, the quantitative difference betweenthe corresponding normalised computation time for systems and schemes is insignificant. It is insensitive to systems and schemes and fonmed a simple average ratio{ (1.0) :(1.5) : (2.0) : (3.1) :(3.1) : (2.4)} for RK2, RK3, RK4, RK5, RK5M and RKB respectively. It is concluded that the end justified the means provided that computation accuracy is assured using the higher order scheme (with higher computational time ratio). "
Comparative analysis of time steps distribution in Runge-Kutta algorithms
(International Journal of Scienctific and Engineering Reasearch, 2012-01) Salau, T. A. O.; Ajide, O. O.
"This study utilized coniJination of phase plots,time steps dstribution and adaptive time steps Runge-Kutta and fifth order algorfthms to investigate a harmonically duffing osciliator. The object is to visually compare fourth and fifth order Runge-Kutta algorithms performance as tools for seeking the chaotic solutions of a harmonically excited duffing oscillator. Though flth order algorithms favours higher time steps and as such faster to execute than fourth order for all studied cases.The reliability of results obtained with fourth order worth its higher recorded total computation time steps period. "
Comparative study of corrosion behaviour of nickel and gold plated carbon steels used as ornamentals in saline environment
(Science and Academic Publishing, 2012) Oluwole, O. O.; Garus-Alaka, W.; Ajide, O. O.
This study investigated the corrosion resistance of plated and unplated steels useful as ornamentals in saline environment. Nickel plating of carbon steel was done in watts solution for 25minutes with a current density of 3 Adm-3 at 60oC. The nickel plated carbon steel was later gold plated for 20 minutes with a current density of 0.2 Adm-3 at 50oC . The plated and unplated carbon steels were immersed in saline environment for 360 hours. Weight loss was taken every 24 hours in order to evaluate corrosion penetration rate (CPR). The results obtained showed that plated carbon steel generally offers a better corrosion resistance than the unplated one. Corrosion of ornamentals is equally gaining importance especially coated ornamentals. The use of nickel for ornamentals is gaining more prominence over silver rising due to its shiny surface and its cost. The use of nickel plated ornamentals just as gold plated ornamentals are being patronized will surely become common place due to affordability for the generality of people. However, the effects of everyday corrosive fluids from kitchen salt and low acidic media on the durability of the coatings need to be established. Carbon steel is the natural substrate used in ornamental coatings .The results also showed that a small thickness of gold plated carbon steel exhibited better corrosion resistance in saline environment. More also, gold plated carbon steel is found to be more suitable and reliable candidate material than nickel plated carbon steel in this environment although with higher costs.
Comparative study of corrosion behaviour of nickel and gold plated carbon steels used as ornamentals in saline environment
(Science and Academic Publishing, 2012) Oluwole, O. O.; Garus-Alaka, W.; Ajide, O. O.
This study investigated the corrosion resistance of plated and unplated steels useful as ornamentals in saline environment. Nickel plating of carbon steel was done in watts solution for 25minutes with a current density of 3 Adm-3 at 60oC. The nickel plated carbon steel was later gold plated for 20 minutes with a current density of 0.2 Adm-3 at 50oC . The plated and unplated carbon steels were immersed in saline environment for 360 hours. Weight loss was taken every 24 hours in order to evaluate corrosion penetration rate (CPR). The results obtained showed that plated carbon steel generally offers a better corrosion resistance than the unplated one. Corrosion of ornamentals is equally gaining importance especially coated ornamentals. The use of nickel for ornamentals is gaining more prominence over silver rising due to its shiny surface and its cost. The use of nickel plated ornamentals just as gold plated ornamentals are being patronized will surely become common place due to affordability for the generality of people. However, the effects of everyday corrosive fluids from kitchen salt and low acidic media on the durability of the coatings need to be established. Carbon steel is the natural substrate used in ornamental coatings .The results also showed that a small thickness of gold plated carbon steel exhibited better corrosion resistance in saline environment. More also, gold plated carbon steel is found to be more suitable and reliable candidate material than nickel plated carbon steel in this environment although with higher costs.
Correlation and distribution analyses of estimated fractal dimensions and husrt's exponent from waveforms of excited non linear pendulum
(Global Journals Inc (USA), 2013) Salau, T. A. O.; Ajide, O. O.
"This study utilised correlation and distribution analyses to investigate the acceptability of Parameters. selection sensitive simulation of the excited nonlinear pendulum waveforms was performed with the constant time step fourth order Runge-Kutta algorithm with codes developed in FORTRAN90. However, the waveforms validated by Gregory and Jerry (1990) and treated as time series were characterized using developed codes of Carlos (1998) and Hurst fractal dimension estimation procedures. The validation results compare. qualitatively well and the correlation coefficients between Carlos (1998)-based and Hurst's exponent based dimension estimate for the angular displacement and velocity are respectively R2 = 0.68 and R2 = 0.66. A higher correlation coefficient (R2 = 0.84) existed between the estimated Hurst's exponent of the angular displacement and velocity. The Hurst distribution exhibited both full spectrum and peak values range 0.04 to 1.00 and percentage probability range 2 to 12. The sum of this study results is the interchange possibility and utility of the two fractal dimension estimators as waveforms characterising tool. "
Corrosion analysis of nickel and gold plated carbon steel ornamentals in sulphuric acid meduim
(2012) Oluwole, O. O.; Garus-Alaka, W.; Ajide, O. O.
This study investigated the corrosion resistance of Nickel and Gold plated carbon steels ornamentals in 0.5mol/dm3Suphuric acid(H2SO4) medium. Nickel plating of carbon steel was done in watts solution for 25minutes with a current density of 3 A/dm3 at 60oC. The nickel plated carbon steel was later gold plated for 20 minutes with a current density of 0.2A/dm3 at 50oC.The plated and unplated carbon steels were exposed to H2SO4 environment for 15 days. The weight loss was taken every 24 hours in order to evaluate corrosion penetration rate(CPR). The results obtained showed that plated carbon steel generally offered a better corrosion resistance than the unplated carbon steels. The conclusion that can be drawn from this study is that Nickel plated carbon steel is found to be more reliable material to be used as ornamentals than gold plated carbon steel in H2SO4 enviroment
Development and investigation of Runge-Kutta coefficients depenedent stability polynomial
(2013-07) Salau, T. A. O.; Ajide, O. O.
"Simulation of reliable solutions of nonlinear engineering problems by means of stable numerical algorithms is a frequent and acceptable practice. This study focuses the development and investigation of Runge-Kutta coefficients dependent stability polynomial for the second, third and fourth orders Runge-Kutta schemes. The development utilized matrix inversion operation procedure that involves determinant and cofactors computation of relevant matrix. The validation was made referencing the standard result of [1] and extended to several cases. The resulting polynom ials obtained consist of combination of the scheme coefficients with increasing power of time step that follows a rhyme pattern.The validation test case result agreed perfectly with test standard result. Selected studied version of different schemes shows wide variation in the shape of stability curve and region bounded. It is interesting to note that the popular second, third and•fourth order schemes have stability curve that bounded larger region than their respective counterpart. It is concluded that the study results can be utilized as reliable platform for stability analysis for different versions of the second, third and fourth order schemes. "
Development of a field-portable digital potentiostat
(2012) Oluwole, O. O.; Adegoke, T. O.; Ajide, O. O.
The use of potentiostats for corrosion rate studies and activation polarization is very crucial because the weight loss method is limited in corrosion studies. However, commercial potentiostats are expensive for most end users. For these reasons, it was desirable to design and build an inexpensive field-portable potentiostat to interface with electrochemical cell. This paper present the proceeudre and design principles of a portable, digital and inexpensive potentiostat, its construction and testing PROTEUS software was used in the design of the different components of the potentiostate and simulation of the tested in a corrosion cell in which a mild steel working electrode (WE) was immersed in 5% NaCl solution. Ag/ AgCl exchange current density (io of mild steel, |Fe/Fe2) of 1.5 X10-6 A/ cm2, standard potential of ,mild steel (Eo mildsteel) of -0.42V and corrosion penetration rate (CPR) at io of 9.18x10-7 cm/hr and Taffel β value of 0.13V was obtained for mild steel in 5% NaCl solution. The values of OCP, ioEo, CPR and β were consistent with values obtained form literature.
Energy audit of commercial buildings (a case study of global fleet oil ltd. and national mirror houses
(2012) Elusakin, J. E.; Ajide, O. O.; Salau, T. A. O.; Idowu, O. G.
"The dearth and cost of energy supply in Nigeria calls for planning and management through energy audit. The object of this paper is to carry out a comprehensive energy audit of the two commercial buildings commonly referred to as Energy House and Mirror House which are the head offices of the Global Fleet Oil & Gas Ltd. Company and National Mirror Newspaper respectively, using their 2011 energy consumption data. The power supplies to both offices are from the same generators which provide two third of the power supply to the building in 2011 but with different transformers of 1000 kV A each for the PHCN power supply. The facilities load were assessed by direct inspection and conversion were done where necessary. The capacities of the available three generators were 400, 640 & 1000 kW respectively (using 0.8 power factor) and the maximum load of the facility at any time in a day is 398 kW. This study has revealed the monumental financial waste on the un-utilized energy and facilities that could be replaced with energy saver equipment. Therefore, it is imperative that a holistic energy planning and regular assessment of energy requirements are considered as key components of building projects. "
Frequency analysis of numbers:applications in ergonomics and diagnosis of computer keyboard faults
(2011) Salau, T. A. O.; Ajide, O. O.
"This study explores the potentiality of decimal digits distribution to differentiate between chaotic numbers were obtained using FORTRAN codes. Logistic equation was solved for only parameters (Ks') known to exhibit chaotic behaviour with initial value of 0.3 for all cases. Graphs of decimal digits distributions were made with Microsoft Office Excel 2003.Three hundred and eighty nine (389) seed values used for this study range between 1031 and 9998 while the corresponding Logistic equation parameter (K) used range between 3.570 and 3.999. Numbers (0, 1, 2, 6, 7 and 9) recorded zero frequency at first decimal out of ten (10) thousand chaotic solutions for parameter (K=3.570). Similarly the frequency distribution for the first decimal of the chaotic solution is highly biased in favour of numbers 8, 3, 5 and 4 respectively for parameter (k=3.570). Numbers with zero frequency range between six (6) at very low parameter and one (1) at very high parameter. In sum the first decimal digit of chaotic solution distribute drastically different from near uniform distribution observed for other cases of decimal digits. This study has shown that a biased distribution of first decimal digits of a number set is a strongindication of chaos. In addition the results of this study can be of great advantage in diagnosing some computer keyboard faults and ergonometric problems associated with frequent use of some number keys.Track 1: ErgonomicsfHuman Factors. Track 2:Maintenance "
Investigating corrosion charateristics of Electroplated medium carbon steel in sodium carbonate environment for decorative objects applications
(IJET Publications UK., 2013-03) Oluwole, O. O.; Garus-Alaka, W.; Ajide, O. O.
The main objective of this study is to investigate the corrosion resistance characteristics of electroplated Medium Carbon Steel (MCS) in 0.5mol/dm3 Sodium Carbonate environment. Nickel plating of MCS was done in watts solution for 25 minutes with a current density of 3 A/dm3 at 60oC. The nickel plated MCS was later gold plated for 20 minutes with a current density of 0.2 A/dm3 at 50oC . The plated and unplated MCS were exposed to sodium carbonate environment for 360 hours. The weight loss was taken every 24 hours in order to estimate corrosion penetration rate (CPR). The results obtained showed that plated MCS generally showed a better corrosion resistance than the unplated one. Although gold plated MCS has a slightly better corrosion resistance characteristic than nickel plated one, the conclusion that can be drawn from this study is that Nickel and Gold plated medium carbon steels are found to be both reliable materials for decorative objects applications in sodium carbonate environment.
Investigating duffing oscillator using bifurcation diagrams
(International Research Publication House, 2011) Salau, T. A. O.; Ajide, O. O.
"This paper investigates the dynamical behaviour of a duffing oscillator using bifurcation diagrams. There has been growing interest and challenges in engineering dynamics to characterize dynamical systems that are chaotic using bifurcation diagrams. The relevant second order differential equations using Runge-Kutta method were solved for ranges of appropriate parameters. The solutions obtained were used to produce the bifurcation diagrams using Microsoft excel 2007. Since an average estimate of δ = 4.668 from the bifurcation diagrams produced is an approximate value of the Feigenbaum constant as widely reported in the literatures, it can be deduced that the bifurcation diagrams conforms to the expected results. While the bifurcation diagrams revealed the dynamics of the duffing oscillator, it also shows that the dynamics depend strongly on the initial conditions. "
Investigation of excited duffing's Oscillator using versions of second order Runge-Kutta methods
(IJST Publications UK, 2012-12) Salau, T. A. O.; Ajide, O. O.
"This investigation derived its strong motivation in the adoption of versions of second-order Runge-Kutta methods where there is presently dearth of relevant literature to re-establish .the complicated nature of solution of buffing oscillator dynamics. The choice of second-order Runge-Kutta methods hinged On its simplest algebraic formulation of relevant coefficients based on Taylor series expansion comparing with its higher order counterpart. Validation of FORTRAN-90 codes of algorithms was achieved by phase plots comparison reference to Dowell (1988) as standard. The nature of simulated solutions were visually determined with scatter plot of phase variables obtained from simultaneous implementation of large number of versions of second-order Runge-Kutta methods in conjunction with the corresponding literature results. Validation results are acceptable to within the accuracy limit of Runge-Kutta methods adopted. The scatter plots on phase plane for cases investigated are well structured and bounded (strange) and compare correspondingly well with literature Poincare sections. This investigation re-establishes the complex nature of solution of Duffings oscillator dynamics. Its established procedures provide an alternative Poincare section method and can be utilised for preliminary verification of system dynamics behaviour subject to confirmation by additional dynamics tests. "
Linear superposition of symmetric IFS-based attractors and fractal characterization
(IJET Publications UK, 2012-12) Salau, T. A. O.; Ajide, O. O.
"This study exploited the possibility of new fractal creation in order to increase drastically the stock number of handy fractal Images through the combination of limited base symmetric attractors' codes. The randomised play of 'chaos game' with the iterated function systems (lFS) comprising finite set of contractive affine maps coupled with simple coordinate transformation and linear superposition provide a framework for the new fractal image creation. However the fractal characterization that captures fractal image structural complexity and beauty was achieved by the implementation of optimum disk count algorithms. Comparison of the corresponding analytical and estimated fractal dimension of four symmetric base attractors are within the range of 3.2 and 7.1 percent absolute relative error. The correlation coefficient being R2=0.97. Aesthetically valuable symmetric fractal images were produced across various combinations explored with estimated fractal dimension 1.5329≤D≤ 1.8156 at transformation square window size of 2. Estimated fractal dimensions and magnitude were found to be independent of window size and number of base attractors' codes combined respectively. The findings of this study have potential applications in textile industries and general fashion design specializations. "
Microstructural characteristics of aluminum based composites developed by liquid metallurgyroute: an overview
(2016-11) Ajide, O. O.; Oluwole, O. O.; Abu, R.; Petinrin, M. O.
The extensive potential engineering applications of Aluminium Metal Matrix Composites (AMCs) are strong motivations for researchers renewed efforts in the development and characterisation of this class of material. The importance of microstructures for AMCs characterisation is enormous for reliable interpretations of its physical, mechanical, corrosion and thermal properties. Hence, a comprehensive review is quintessential in order to have a general overview of the influence and implications of microstructural characteristics on AMCs material properties. The review shows that an improved stir casting setup provides a reliable platform for effective and efficient stirring mechanism in the production of AMCs. This improved system is capable of reducing agglomerations to the barest minimum and thus promotes homogeneous dispersion of ceramic reinforcement particles in the matrix. The nature of AMCs microstructures have specific implications to its mechanical, corrosion and wear properties. The formation of pores, pits, rough surface and ceramics particles agglomerations in AMCs microstructures are manifestations of severe corrosion of the composites in different environments. The microstructural characteristics of corroded composite samples are aggravated by the harshness of the corrosion environments and increase in the percentage weight fractions of most ceramic reinforcement particles. The type of ceramic reinforcement particles used in AMCs has been well reported in the literature to have immense influence on its microstructural characteristics. Further, the review was able to show that heat treatment is a reliable process that can be explored in enhancing the homogeneous dispersion of reinforcement particles in AMCs matrix and its overall microstructural features. This review has enriched researchers’ understanding on immense benefits of AMCs microstructural examinations and its numerous implications. It is hopeful that this will be an illuminating platform for intensifying research activities on the microstructural characterisation of AMCs. The conclusion that can be drawn from this in-depth overview is that microstructural examinations will remain one of the leading techniques for AMCs materials properties characterisation. Optical Microscopy (OM), Scanning Electron Microscopy (SEM), Transmission Electron Microscopy (TEM), Atomic Force Microscopy (AFM), Energy Dispersive Spectroscopy (EDS), X-ray Diffraction (XRD) and X-ray Fluorescence (XRF) will continue to be the domineering microstructural examinations techniques for characterising the material properties of AMCs.
Minimisation of exergetic cost of steam pipeline insulation
(2020-04) Petinrin, M. O.; Osisanya, F. O.; Adebayo, J. K.; Ajide, O. O.; Dare, A. A.; Ismail, O. S.
This paper presents the optimization study of steam pipeline insulation with three insulation materials: EPS, XPS and rockwool. The steam pipelines considered were single straight pipe, two-branch and three-branch networks with effects of pipe length and multilayered insulation on exergy loss, thickness and its attendant cost of insulation. Scaled exergetic cost model was developed and minimized to determine the optimum insulation thickness for pipeline carrying steam at inlet temperature of 200°C. For the same thickness of layer in composite insulation, preliminary analysis indicated that the best order of arrangement from the pipe outside surface is XPS-EPS-Rockwool. The optimum thickness of insulation and associated cost decreased with increase in flow rate of the steam but they increased with the pipe length. For different pipe lengths, the multilayer composite gave fairly smaller optimum insulation thicknesses and costs as compared with monolithic insulation of pipe with each of the insulation materials. The study also showed that each pipe in the multiple pipe networks had its own peculiar optimum thickness for each insulation layer in the multilayered composite to ensure pipe-end thermal quality of the steam pipeline.
A novel graphic presentation and fractal characterisation of poincare solutions of harmonaically excited pendulum
(International Journal of Advances in Engineering and Technology, 2013-07) Salau, T. A. O.; Ajide, O. O.
"The extensive completed research and continuous study of pendulum is due to its scientific and engineering importance. The present study simulate the Poincare solutions of damped, nonlinear and harmonically driven pendulum using FORTRAN 90 coded form of the popular fourth and fifth order Runge-Kutta schemes with constant time step. Validation case studies were those reported by Gregory and Jerry (I 990) for two damping qualities q1,q2= 2,4), fixed drive amplitude and frequency (g = 1.5,ώD= 2/3). A novel graphic presentation of the displacement and velocity components of the Poincare solutions for 101-eases each drawn from the parameters spaces 2≤q≤4 and 0.9≤ g≤ 1.5 at 100-equal steps were characterised using the fractal disk dimension analysis. Corresponding validation results compare well with reported results of Gregory and Jerry (1990). There is observed quantitative variations in the corresponding consecutive Poincare solutions prescribed by Runge-Kutta schemes with increasing number of excitation period however the quality of the overall Poincare section is hard to discern. Non uniform variation of scatter plots per area of solutions space characterised chaotic and periodic responses as against average uniform variation for a random data set The plots of periodic response distribute restrictedly on the solutions space diagonal while probabilities of chaotic responses on the studied parameters space is between 21.5% and 70.6%. Estimated fractal disk dimension variation is in the range 0.00≤ Df≤ 1.8 I for studied cases. The study therefore has demonstrated the utility of the novel graphic plots as a dynamic systems characterising tool. "
Numerical analysis of thermo-elastic contact problem of disc brakes for vehicle on gradient surfaces
(Scientific Research Publishing, 2016-12) Petinrin, M. O.; Oyedele, A. A.; Ajide, O. O.
In this study, the thermo-elastic effects of frictional heat generation in a disc brake system due to braking actions were simulated. The mathematical model that defined the problem was developed from the kinetic and potential energies of moving vehicles on the gradient surfaces. This problem was solved for the selected geometry of disc brake and pad with their material properties selected from existing literatures using the finite element method and the computational results were obtained. The thermal deformation obtained was in good agreement with similar literature results.Also, for the same braking period and conditions, the results showed that a vehicle ascending a hill gave a higher temperature rise, Von Mises stress and thermal deformation on brake contact surfaces than when descending hill. Therefore, the braking period required to bring a moving vehicle in ascendent motion to a lower speed is expected to be shorter because of the gravity effect than horizontal motion, while descendent motion requires longer braking period.