A nonlinear inverse problem in estimating the heat flux of the disc in a disc brake system

Yu, Yang; Chen, Wen Lih

doi:10.1016/j.applthermaleng.2011.04.008

Cited by 86 publications

(20 citation statements)

References 27 publications

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“…Frenleme esnasında fren disklerine ısı akışı frenleme zamanına bağlı olarak belirlenebilmektedir [12]. Ancak fren diskleri boyunca ısı akışının belirlenmesinde bu çalışmanın geometrik modelleri için çok daha uygun olan ve bazı çalışmalarda da [11,13] önerildiği gibi aşağıdaki eşitlik ile (Eş. 2) kullanılmıştır.…”

Section: Discs)unclassified

Hava Soğutma Kanalli Fren Di̇skleri̇ni̇n Termo-Mekani̇k Özelli̇kleri̇ni̇n Sonlu Eleman Anali̇zi̇ Kullanilarak Geli̇şti̇ri̇lmesi̇

Düzgün¹

2014

Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi

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ÖzetBu çalışma, otomotiv ve demiryolu endüstrileri için yaygın olarak üretilen delikli tip geometriye sahip hava soğutma kanallı fren disklerinin termo-mekanik özelliklerinin geliştirilmesi amacıyla yapılmıştır. Farklı tasarımlar elde edebilmek amacıyla soğutma delikleri arasında beş farklı lineer mesafe ve disk merkezine göre beş farklı açısal yerleşim düzenleri tercih edilmiştir. Elde edilen sonuçların optimizasyonu için nümerik testler Taguchi dikey dizisi ve Grey ilişki analizlerine göre tasarlanmıştır. Sonlu eleman analizinde nümerik testlerin Taguchi-Grey teknikleri ile kombinizasyonu, sonuçların optimizasyonu için gerekli simülasyonların sayısını azaltmak için kullanılmıştır. Aynı zamanda dış etkenlerden en az seviyede etkilenen tasarım faktörlerinin bulunması ile ayrıca bir gelişme sağlanmıştır. Bu çalışma sonuçları bakımından fren disklerinde termal gerilmelerin azaltılması ve böylece disk ömrünün uzatılmasından dolayı, hava soğutma kanallı fren disklerini imal eden üreticilere önemli tasarım kriterleri sağlamaktadır. Bu çalışmada kullanılan disklerin üzerindeki termal gerilmeler disklerin toplam yüzey alanları ve hacim/ağırlıklarını değiştirmeden değişken tasarımlar ile %13 ile %54 arasında iyileştirilmiştir.Anahtar Kelimeler: Termo-Mekanik Özellik, Fren Diskleri, Sonlu Eleman Analizi IMPROVEMENT OF THERMO-MECHANICAL CHARACTERISTIC OF THE SELF VENTILATED BRAKE DISCS USING FEA AbstractThis study is focused to improve thermo-mechanical characteristics of cross-drilled type of the ventilated brake disc geometry, which has been widely manufactured by automotive and railway industries. Five different linear distance between hole locations, five different distance from the center of the disc and five different angular rotation for hole locations were chosen to obtain variable designs. Numerical experiments were designed according toTaguchi's orthogonal array and grey relation analyses were used to optimize the results. In FEA (Finite Element Analysis), combination of numerical study with Taguchi-Grey techniques not only reduced the number of simulations necessary to optimize the results but also provided an improvement by finding the factors which were not greatly influenced by external or uncontrollable factors . The outcomes of this study will guide manufacturers to produce improved ventilated brake discs by reducing the thermal stresses and thus enhancing the longevity. In this study on the thermal stress of the disc drive of the total surface area and volume/weight and without changing the design variable has been improved from 54% to 13%.

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Section: Discs)unclassified

Hava Soğutma Kanalli Fren Di̇skleri̇ni̇n Termo-Mekani̇k Özelli̇kleri̇ni̇n Sonlu Eleman Anali̇zi̇ Kullanilarak Geli̇şti̇ri̇lmesi̇

Düzgün¹

2014

Gazi Üniversitesi Mühendislik-Mimarlık Fakültesi Dergisi

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“…Inverse analysis is however computationally expensive and mathematically more complicated compared to its forward counterpart due to ill posed and iterative nature of the problem [14][15][16] and many a times multiple combinations of parameters are obtained that satisfy the same given reference output. This is one of the unique features of inverse analysis due to which it has become very popular and successfully applied in many engineering problems in the last decade [17][18][19][20][21][22][23][24][25][26][27][28]. Various methods such as conjugate gradient method, steepest descent method, linear least-squares error method, golden section technique, genetic algorithm and DE are used in the inverse analysis.…”

Section: Introductionmentioning

confidence: 99%

Estimation of operating parameters of a reheat regenerative power cycle using simplex search and differential evolution based inverse methods

Gogoi

Pandey

Das

2015

Energy Conversion and Management

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“…In this paper, two inverse e the problem defined by Eqs (1)- (8). ntial Beck's method [9,13], one using…”

Section: Rmulationmentioning

confidence: 99%

“…There is many differ conduction problem (IHCP references [9,10], [13][14][15][16][17], methods are used to solve t Two variants of the sequenti…”

Section: Inverse Analysismentioning

confidence: 99%

“…The aim of this study is to assess the TCR between both components. As in the case of many studies, [6][7][8][9][10][11][12][13] the interfacial thermal properties such as TCR, surface temperature or heat flux, assessment required inverse heat conduction problem solving. This paper deals with thermal contact resistance between bitumen and aggregate substrates in hot and warm asphalt mixture manufacturing conditions.…”

Section: Introductionmentioning

confidence: 99%

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Use of Inverse Method for Bonding Quality Assessment Between Bitumen and Aggregates Under Asphalt Mixes Manufacturing Conditions

Some¹,

Gaudefroy²,

Delaunay

2012

Volume 2: Applied Fluid Mechanics; Electromechanical Systems and Mechatronics; Advanced Energy Systems; Thermal Engineering; Hu

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To cite this version:Sâannibè Ciryle Some, Vincent Gaudefroy, Didier Delaunay. Use of inverse method for bonding quality assessment between bitumen and aggregates under asphalt mixes manufacturing conditions. Proceedings of the 11th Biennal Conference on Engineering Systems Design and Analysis, TRK 8, Jul 2012, France. 9p, 2012 ABSTRACTIn roads building, classical asphalt mix manufacturing commonly requires the heating (at 160°C) and the complete drying of aggregates. The induced energy cost has opened the way to develop alternatives processes and materials with low energy/carbon materials such as Warm Mix Asphalt (WMA). In warm mixes processes, aggregates manufacturing temperatures are different and lower than the Hot Mix ones. However, manufacturing temperature reduction can locally lead to poor bonding between bitumen and aggregate during the mixing step, due to the bitumen viscosity increasing, although bonding quality measurement remained a challenge. The aim of our study was to presents two thermal inverse methods for bonding quality assessment. These methods are based on Thermal Contact Resistance (TCR) assessment between bitumen and aggregate, during asphalt mix manufacturing. The experimental test principle consisted of heating both bitumen and cylindrical aggregate to their manufacturing temperatures (over 100°C) and to put them into contact thanks to a special experimental device. According to initial samples temperatures, heat transfer occurs from the bitumen to the aggregate. Two variants of the sequential Beck's method were used to solve the inverse heat conduction problem. The first one consisted of determining the TCR from heat flux and temperatures and the second one consisted of identifying directly the TCR. The TCR values were interpreted as bonding quality criteria.Results showed low sensitivity to temperature measurement noise in the second variant of the inverse method. Moreover our study showed that bonding quality depends on bitumen and aggregate temperatures. The higher the component's temperatures, the lower the TCR values and better is the bonding quality. INTRODUCTIONIn roads building, classical asphalt mix manufacturing commonly requires the heating (at 160°C) and the complete drying of aggregates. This operation induces high energy consumption. In the last decade roads companies have developed new processes based on fuel consumption reduction. In these processes coarses aggregates temperatures can be reduced significantly [1][2][3]. The component's temperatures reduction induces bitumen viscosity increases. However, the effect of this high viscosity on the bonding property between bitumen and aggregates are not well known. In the manufacturing step, hot liquid bitumen comes into contact with hot or warm aggregates. This leads to bonding between the bitumen and aggregates. The influence of bitumen and aggregates temperatures on the bonding quality has not been studied yet at manufacturing conditions. However, some studies

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A nonlinear inverse problem in estimating the heat flux of the disc in a disc brake system

Cited by 86 publications

References 27 publications

Hava Soğutma Kanalli Fren Di̇skleri̇ni̇n Termo-Mekani̇k Özelli̇kleri̇ni̇n Sonlu Eleman Anali̇zi̇ Kullanilarak Geli̇şti̇ri̇lmesi̇

Hava Soğutma Kanalli Fren Di̇skleri̇ni̇n Termo-Mekani̇k Özelli̇kleri̇ni̇n Sonlu Eleman Anali̇zi̇ Kullanilarak Geli̇şti̇ri̇lmesi̇

Estimation of operating parameters of a reheat regenerative power cycle using simplex search and differential evolution based inverse methods

Use of Inverse Method for Bonding Quality Assessment Between Bitumen and Aggregates Under Asphalt Mixes Manufacturing Conditions

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