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Praveen Ailawalia and Amit Singla

}x}]\\\displaystyle +\sum_{n=1}^{4}[R_{6(n+4)}L_{(n+4)}(b,\,\omega)e^{k_{{n}}x}]+\xi_{6}\exp(-\gamma x) \end{array}$$ (43) where R 1 n = i b [ B 1 − ( l 2 − 1 ) k n 2 ] [ ( B 3 − b 2 l 2 ) k n − l 3 k n 3 ] , R 1 ( n + 4 ) = i b [ B 1 − ( l 2 − 1 ) k n 2 ] [ ( b 2 l 2 − B 3 ) k n + l 3 k n 3 ] , $$\begin{array}{} \displaystyle R_{1n}=\frac{ib[B_{1}-(l_{2}-1)k_{n}^{2}]}{[(B_{3}-b^{2}l_{2})k_{n}-l_{3}k_{n}^{3}]},\\\displaystyle R_{1(n+4)}=\frac{ib[B_{1}-(l_{2}-1)k_{n}^{2}]}{[(b^{2}l_{2}-B_{3})k_{n}+l_{3}k_{n}^{3}]}, \end{array}$$ R 2 n = [ l 3 k n 4 − ( B 4 l 3 + B 3 ) k n 2

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Zsófia Sándor and Gergely Kis

References [1] Freeman, C., Louca, F., “The Emergence of a New Techno-Economic Paradigm: The Age of Information and Communication Technology (ICT)”, As Time Goes By – From the Industrial Revolutions to the Information Revolution , New York, 2002, pp. 318–324. [2] Naqvi, N. Z., Kumar, A., Chauhan, A., Sahni, K., “Step Counting Using Smartphone-Based Accelerometer”, International Journal on Computer Science and Engineering , 4(3), pp. 675–681, May. 2012. [3] Jayalath, S., Abhayasinghe, N., Murray, I., “A Gyroscope Based Accurate Pedometer

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S. Sakthivelu, M. Meignanamoorthy, M. Ravichandran and P. P. Sethusundaram

effects of different ceramics size and volume fraction on wear behavior of Al matrix composites (for automobile cam material), Wear, 289, 73–81, 2012. Karamis M. B. Alper Cerit A. Selcuk Burhan Nair Fehmi The effects of different ceramics size and volume fraction on wear behavior of Al matrix composites (for automobile cam material) Wear 289 73 81 2012 [4] Veeresh Kumar, G. B., Rao, C. S. P., Selvaraj, N., Bhagyashekar, M. S.: Studies on Al6061-SiC and Al7075-Al 2 O 3 Metal Matrix Composites, Journal of Minerals & Materials Characterization & Engineering, 9, 43

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Abdesselam Debbah and Hamid Kherfane

feedback ”, Acta Universitatis Sapientiae, Electrical and Mechanical Engineering , Vol. 1, Issue 1, pp. 29–40, December 2009. [21] Chen, P.V., Chiang, C. H., and Liu, J. C., “The input/output constrained control for V/STOL aircraft dynamics under a descriptor system formulation”, Journal of Aeronautic and aviation , Vol. 41, Issue 1, pp. 43–52, January 2009. [22] Kelemen, A., Kutasi, N., “Lyapunov-based frequency-shift power control of inductionheating converters with hybrid resonant load”, Acta Universitatis Sapientiae, Electrical and Mechanical

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Puja Basu Chaudhuri, Anirban Mitra and Sarmila Sahoo

] { δ s x i } ; Y −  stiffener : { F s y } = [ D s y ] { ε s y } = [ D s y ] [ B s y ] { δ s y i } $$\begin{array}{} \displaystyle X-\text{ stiffener}: \{F_{sx}\}=[D_{sx}]\{\varepsilon_{sx}\}\\\displaystyle\,\, =[D_{sx}][B_{sx}]\{\delta_{sxi}\};\\\displaystyle Y-\text{ stiffener}\!\!: \{F_{sy}\}=[D_{sy}]\{\varepsilon_{sy}\}=[D_{sy}][B_{sy}]\{\delta_{syi}\} \end{array} $$ (1) where { F s x } = [ N s x x M s x x T s x x Q s x x z ] T ; { ε s x } = [ u s x . x α s x . x β s x . x ( α s x + w s x . x ) ] T $$\begin{array}{} \displaystyle \{F_{sx}\}=\, \Big[N

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Rajneesh Kumar, Shaloo Devi and Veena Sharma

}e^{-s{f}}f(t)dt=\overline{f}({s}) . \end{array} $$ (22) where s is the Laplace transform parameter. The system of equations (19) to (21) , after applying the Laplace transform can be written in a matrix form as: D V ( x , s ) = A V ( x , s ) , $$\begin{array}{} DV(x,{s})=AV(x,{s}), \end{array} $$ (23) where, V = U D U , U = [ w ¯ v ¯ T ¯ 1 C ¯ 1 ] T , A = O I A 1 O , A 1 = 0 1 0 0 a 21 a 22 a 23 a 24 a 31 a 32 a 33 a 34 a 41 a 42 a 43 a 44 . $$\begin{array}{} V=\left[\begin{array}{c} U\\ DU \end{array}\right],\quad U=[\overline{w}\quad \overline{v} \quad\overline{T}_{1}\quad

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András Kelemen, Domokos Biró, Albert-Zsombor Fekete, László Jakab-Farkas and Róbert Rossi Madarász

] Kubart, T., Polcar, T., Kappertz, O., Parreira, N., Nyberg, T., Berg, S., and Cavaleiro, A., „Modelling of magnetron sputtering of Tungsten Oxide with reactive gas pulsing”, Plasma Processes and Polymers, 2007, 4, WILEY-VCH Verlag GmbH & Co. KGaA, Weinheim , pp. S522–S526, DOI: 10.1002/ppap.200731301. [7] Görgy, K., „Cercetări privind dezvoltarea unor electrotehnologii pentru depunerea straturilor metalice subţiri”, Teză de doctorat, Universitatea Tehnică din Cluj-Napoca , 2010. [8] Christie D., J., „Making magnetron sputtering work: Modelling reactive

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Samir Bouzoualegh, El-Hadi Guechi and Ridha Kelaiaia

”, In Proc. Process Control (PC), 2017 21 st International Conference on IEEE, 2017. [4] Kamel, M. and Zhang, Y. “Linear Model Predictive Control via Feedback Linearization for Formation Control of Multiple Wheeled Mobile Robots”, Information and Automation, 2015 IEEE International Conference on. IEEE, pp. 1283–1288, Aug. 2015. [5] Guechi, E. H., Bouzoualegh, S., Zennir, Y. and Blažic, S. “MPC Control Study and LQ Optimal Control of A Two-Link Robot Arm:A Comparative Study”, Machines 2018, vol. 6, no. 3, pp. 37. [6] Elkhateeb, N. A. and Badr, R. I

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Azzeddine Belaziz and Mohamed Mazari

welded specimens at all stretch speeds. References [1] Costa, A. P. D., Botelho, E. C., Costa, M. L., Narita, N. E. and Tarpani, J. R.: A Review of Welding Technologies for Thermoplastic Composites in Aerospace Applications. Aerosp. Technol. Manag. São José dos Campos, 4(3), 255-265, 2012. Costa A. P. D. Botelho E. C. Costa M. L. Narita N. E. Tarpani J. R. A Review of Welding Technologies for Thermoplastic Composites in Aerospace Applications Aerosp. Technol. Manag. São José dos Campos 4 3 255 265 2012 [2] Neale, K. W. and Tugcu, P.: Analysis of necking and

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R. Bouchenafa, Hussein A. Mohammed and R. Saim

were considered to be converged when the convergence criterion values hit 10 −6 for all variables. 2.6.1 Grid sensitivity A serial of test simulations (Nx-Ny-Nz) were performed to ensure the grid independence for an inlet velocity equal to 10m/s (Re = 5300). Plate fin heat sink (PFHS): The mesh densities of (280 × 62 × 59), (240 × 55 × 50), (200 × 43 × 41), (160 ×x31 ×27), and (120 × 19 × 18) were used. Wavy fin heat sink (WFHS) having (n = 3 and h = 3 mm): The mesh densities of (320 × 74 × 68), (280 × 62 × 59), (240 × 55 × 50), and (200 × 43 × 41