Applied sciences

Archive of Mechanical Engineering


Archive of Mechanical Engineering | 2019 | vol. 66 | No 3 |

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This paper presents an extended finite element method applied to solve phase change problems taking into account natural convection in the liquid phase. It is assumed that the transition from one state to another, e.g., during the solidification of pure metals, is discontinuous and that the physical properties of the phases vary across the interface. According to the classical Stefan condition, the location, topology and rate of the interface changes are determined by the jump in the heat flux. The incompressible Navier-Stokes equations with the Boussinesq approximation of the natural convection flow are solved for the liquid phase. The no-slip condition for velocity and the melting/freezing condition for temperature are imposed on the interface using penalty method. The fractional four-step method is employed for analysing conjugate heat transfer and unsteady viscous flow. The phase interface is tracked by the level set method defined on the same finite element mesh. A new combination of extended basis functions is proposed to approximate the discontinuity in the derivative of the temperature, velocity and the pressure fields. The single-mesh approach is demonstrated using three two-dimensional benchmark problems. The results are compared with the numerical and experimental data obtained by other authors.

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Authors and Affiliations

Paweł Stąpór

  1. Faculty of Management and Computer Modelling, Kielce University of Technology, Kielce, Poland.
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LED light must be cooled to avoid reaching a certain temperature. Two different 3D practical domains of LED light are modelled, (i) square aluminium plate with a cylindrical plate and an LED module (model I), (ii) the same provision of model I with 25 fins (model II). ANSYS 16.0 is used for solving the problem. Temperature distribution, junction temperature (Tj) and heat flux are estimated. Analyses are carried out for various ambient temperatures (Ta) and for different LED power dissipations (Q) to identify the safe operating conditions. In model I, it is found that 38% of working conditions go beyond the critical limit of Tj and it is reduced to 21.4% in model II. In model II, for low Ta of 30 and 40ºC with all Q considered in this analysis are safer. If Ta is between 30 and 80ºC, then Q must be maintained at 0.5 to 1.25 W. Beyond this, conditions are not safe.

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Authors and Affiliations

Manbodh Kumar Mishra
V.P. Chandramohan
Karthik Balasubramanian

  1. Department of Mechanical Engineering, National Institute of Technology Warangal, Telangana, India.
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This work is devoted to the plotting of coupler curves in the environment of graphical programs. As there is a large variety of shapes, for the purpose of this study, the authors selected those curves that feature a cusp form. In the research, two software programs were used, i.e., AutoCAD and Rhinoceros with the Grasshopper plug-in. Two types of curves were defined: a fixed and a moving centrode, in which the points of the moving centrode define the coupler curves whose cusps are located on the fixed centrode. In conclusion, two design tools were compared and the curves in question were discussed in detail.

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Authors and Affiliations

Krystyna Romaniak
Michał Nessel

  1. Department of Architecture, Cracow University of Technology, Cracow, Poland.
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In the present work, an experimental investigation of a transverse fatigue crack has been carried out. A mathematical modelling of cracked rotor system along with the measured vibration is used to find crack parameters that not only detect the fault but also quantify it. Many experimental studies on cracks considered the crack as a slit or notch, which remains open. However, such flaws do not mimic a fatigue crack behavior, in which crack front opens and closes (i.e., breathes in a single revolution of the rotor). The fatigue crack in rotors commonly depicts 2x frequency component in the response, as well as higher frequency components, such as 3x, 4x and so on. In rotors, both forward and backward whirling take place due to asymmetry in rotor, and thus the fatigue crack gives the forward and backward whirl for all such harmonics. A rotor test rig was developed with a fatigue crack in it; rotor motions in two orthogonal directions were captured from the rig at discrete rotor angular speeds using proximity probes. The directional-spectrum processing technique has been utilized to the measured displacements to get its forward and backward whirl components. Subsequently, it is executed in a mathematical model-based estimation procedure to obtain the crack forces, residual unbalances, and remaining rotor system unknown variables. Estimation of crack forces during rotation of the shaft gives its characteristics, which can be used further to develop newer crack models.

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[19] C. Shravankumar and R. Tiwari. Model-based crack identification using full-spectrum. In Proceedings of the ASME 2013 Gas Turbine India Conference, Bangalore, Karnataka, India, December 5–6, 2013. doi: 10.1115/GTINDIA2013-3756.
[20] C. Shravankumar and R. Tiwari. Identification of stiffness and periodic breathing forces of a transverse switching crack in a Laval rotor. Fatigue and Fracture of Engineering Materials and Structures, 36(3):254–269, 2012. doi: 10.1111/j.1460-2695.2012.01718.x.
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[22] X.B. Rao, Y.D. Chu, Y.X. Chang, J.G. Zhang, and Y.P. Tian. Dynamics of a cracked rotor system with oil-film force in parameter space. Nonlinear Dynamics, 88(4):2347–2357, 2017. doi: 10.1007/s11071-017-3381-9.
[23] B.C. Wen and Y.B.Wang. Theoretical research, calculation and experiments of cracked shaft dynamical responses. In Proceedings of International Conference on Vibration in Rotating Machinery, pp. 473–478, London, UK, 1988.
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[25] M.G. Maalouf. Slow-speed: vibration signal analysis. Orbit, 27(2):4–16, 2007.
[26] R. Tiwari. Rotor Systems: Analysis and Identification. CRC Press, USA, 2017. doi: 10.1201/9781315230962.
[27] L.G.G. Villani, S. da Siva, and A. Cunha Jr. Damage detection in uncertain nonlinear systems based on stochastic Volterra series. Mechanical Systems and Signal Processing, 125:288–310, 2019. doi: 10.1016/j.ymssp.2018.07.028.
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Authors and Affiliations

C. Shravankumar
Rajiv Tiwari

  1. Department of Mechanical Engineering, Indian Institute of Technology Guwahati, Guwahati – 781039, India.
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In times of rapidly progressing globalization, the possibility of fast long-distance travel between high traffic cities has become an extremely important issue. Currently, available transportation systems have numerous limitations, therefore, the idea of a high-speed transportation system moving in reduced-pressure conditions has emerged recently. This paper presents an approach to the modelling and simulation of the dynamic behaviour of a simplified high-speed vehicle that hovers over the track as a magnetically levitated system. The developed model is used for control system design. The purpose of passive and active suspension discussed in the text is to improve both the performance and stability of the vehicle as well as ride comfort of passengers travelling in a compartment. Comparative numerical studies are performed and the results of the simulations are reported in the paper with the intent to demonstrate the benefits of the approach employed here.

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Authors and Affiliations

Natalia Strawa
Paweł Malczyk

  1. Institute of Aeronautics and Applied Mechanics, Faculty of Power and Aeronautical Engineering, Warsaw University of Technology, Warsaw, Poland.
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The paper describes the dynamics of a composite cantilever beam with an active element. The vibrations of the kinematically excited beam are controlled with the use of a Macro Fiber Composite actuator. A proportional control algorithm is considered. During the analysis, actuator is powered by a time-varying voltage signal that is changed proportionally to the beam deflection. The MFC element control system with the implemented algorithm allowed for changing the stiffness of the tested structure. This is confirmed by the numerical and experimental results. Resonance curves for the beam with and without control are determined. The results show a very good agreement in qualitative terms.

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[2] B.W. Lacroix. On the mechanics, computational modeling and design implementation of piezoelectric actuators on micro air vehicles. Ph.D. Thesis, University of Florida, Gainesville, USA, 2013.
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[4] M. Borowiec, M. Bochenski, J. Gawryluk, and M. Augustyniak. Analysis of the macro fiber composite characteristics for energy harvesting efficiency. In: Awrejcewicz J., editor, Dynamical Systems: Theoretical and Experimental Analysis, vol. 182 of Springer Proceedings in Mathematics and Statistics Series, pages 27–37, 2016. doi: 10.1007/978-3-319-42408-8_3.
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[6] A. Teter and J. Gawryluk. Experimental modal analysis of a rotor with active composite blades. Composite Structures, 153:451–467, 2016. doi: 10.1016/j.compstruct.2016.06.013.
[7] J. Gawryluk, A. Mitura, and A. Teter. Influence of the piezoelectric parameters on the dynamics of an active rotor. AIP Conference Proceedings, 1922(100010):1–8, 2018. doi: 10.1063/1.5019095.
[8] A. Mitura, J. Gawryluk, and A. Teter. Numerical and experimental studies on the rotating rotor with three active composite blades. Eksploatacja i Niezawodność – Maintenance and Reliability, 4(19):572–581, 2017. doi: 10.17531/ein.2017.4.11.
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Authors and Affiliations

Jarosław Gawryluk
Andrzej Mitura
Andrzej Teter

  1. Department of Applied Mechanics, Mechanical Engineering Faculty, Lublin University of Technology, Lublin, Poland.

Instructions for authors

About the Journal
Archive of Mechanical Engineering is an international journal publishing works of wide significance, originality and relevance in most branches of mechanical engineering. The journal is peer-reviewed and is published both in electronic and printed form. Archive of Mechanical Engineering publishes original papers which have not been previously published in other journal, and are not being prepared for publication elsewhere. The publisher will not be held legally responsible should there be any claims for compensation. The journal accepts papers in English.

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Outline of procedures
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[1] R.O. Author. Title of the Book in Italics. Publisher, City, 2018.

Articles in Journals:
[2] D.F. Author, B.D. Second Author, and P.C. Third Author. Title of the article. Full Name of the Journal in Italics, 52(4):89–96, 2017. doi: 1234565/3554. (where means: 52 – volume; 4 – number or issue; 89–96 – pages, and 1234565/3554 – doi number (if exists).)

[3] W. Author. Title of the thesis. Ph.D. Thesis, University, City, Country, 2010.

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The Editorial Board of the Archive of Mechanical Engineering (AME) sincerely expresses gratitude to the following individuals who devoted their time to review papers submitted to the journal. Particularly, we express our gratitude to those who reviewed papers several times.

List of reviewers of volume 68 (2021)
Ahmad ABDALLA – Huaiyin Institute of Technology, China
Sara ABDELSALAM – University of California, Riverside, United States
Muhammad Ilman Hakimi Chua ABDULLAH – Universiti Teknikal Malaysia Melaka, Malaysia
Hafiz Malik Naqash AFZAL – University of New South Wales, Sydney, Australia
Reza ANSARI – University of Guilan, Rasht, Iran
Jeewan C. ATWAL – Indian Institute of Technology Delhi, New Delhi, India
Hadi BABAEI – Islamic Azad University, Tehran, Iran
Sakthi BALAN – K. Ramakrishnan college of Engineering, Trichy, India
Leszek BARANOWSKI – Military University of Technology, Warsaw, Poland
Elias BRASSITOS – Lebanese American University, Byblos, Lebanon
Tadeusz BURCZYŃSKI – Institute of Fundamental Technological Research, Warsaw, Poland
Nguyen Duy CHINH – Hung Yen University of Technology and Education, Hung Yen, Vietnam
Dorota CHWIEDUK – Warsaw University of Technology, Poland
Adam CISZKIEWICZ – Cracow University of Technology, Poland
Meera CS – University of Petroleum and Energy Studies, Duhradun, India
Piotr CYKLIS – Cracow University of Technology, Poland
Abanti DATTA – Indian Institute of Engineering Science and Technology, Shibpur, India
Piotr DEUSZKIEWICZ – Warsaw University of Technology, Poland
Dinesh DHANDE – AISSMS College of Engineering, Pune, India
Sufen DONG – Dalian University of Technology, China
N. Godwin Raja EBENEZER – Loyola-ICAM College of Engineering and Technology, Chennai, India
Halina EGNER – Cracow University of Technology, Poland
Fehim FINDIK – Sakarya University of Applied Sciences, Turkey
Artur GANCZARSKI – Cracow University of Technology, Poland
Peng GAO – Northeastern University, Shenyang, China
Rafał GOŁĘBSKI – Czestochowa University of Technology, Poland
Andrzej GRZEBIELEC – Warsaw University of Technology, Poland
Ngoc San HA – Curtin University, Perth, Australia
Mehmet HASKUL – University of Sirnak, Turkey
Michal HATALA – Technical University of Košice, Slovak Republic
Dewey HODGES – Georgia Institute of Technology, Atlanta, United States
Hamed HONARI – Johns Hopkins University, Baltimore, United States
Olga IWASINSKA – Warsaw University of Technology, Poland
Emmanuelle JACQUET – University of Franche-Comté, Besançon, France
Maciej JAWORSKI – Warsaw University of Technology, Poland
Xiaoling JIN – Zhejiang University, Hangzhou, China
Halil Burak KAYBAL – Amasya University, Turkey
Vladis KOSSE – Queensland University of Technology, Brisbane, Australia
Krzysztof KUBRYŃSKI – Air Force Institute of Technology, Warsaw, Poland
Waldemar KUCZYŃSKI – Koszalin University of Technology, Poland
Igor KURYTNIK – State Higher School in Oswiecim, Poland
Daniel LESNIC – University of Leeds, United Kingdom
Witold LEWANDOWSKI – Gdańsk University of Technology, Poland
Guolu LI – Hebei University of Technology, Tianjin, China
Jun LI – Xi’an Jiaotong University, China
Baiquan LIN – China University of Mining and Technology, Xuzhou, China
Dawei LIU – Yanshan University, Qinhuangdao, China
Luis Norberto LÓPEZ DE LACALLE – University of the Basque Country, Bilbao, Spain
Ming LUO – Northwestern Polytechnical University, Xi’an, China
Xin MA – Shandong University, Jinan, China
Najmuldeen Yousif MAHMOOD – University of Technology, Baghdad, Iraq
Arun Kumar MAJUMDER – Indian Institute of Technology, Kharagpur, India
Paweł MALCZYK – Warsaw University of Technology, Poland
Miloš MATEJIĆ – University of Kragujevac, Serbia
Norkhairunnisa MAZLAN – Universiti Putra Malaysia, Serdang, Malaysia
Dariusz MAZURKIEWICZ – Lublin University of Technology, Poland
Florin MINGIREANU – Romanian Space Agency, Bucharest, Romania
Vladimir MITYUSHEV – Pedagogical University of Cracow, Poland
Adis MUMINOVIC – University of Sarajevo, Bosnia and Herzegovina
Baraka Olivier MUSHAGE – Université Libre des Pays des Grands Lacs, Goma, Congo (DRC)
Tomasz MUSZYŃSKI – Gdansk University of Technology, Poland
Mohamed NASR – National Research Centre, Giza, Egypt
Driss NEHARI – University of Ain Temouchent, Algeria
Oleksii NOSKO – Bialystok University of Technology, Poland
Grzegorz NOWAK – Silesian University of Technology, Gliwice, Poland
Iwona NOWAK – Silesian University of Technology, Gliwice, Poland
Samy ORABY – Pharos University in Alexandria, Egypt
Marcin PĘKAL – Warsaw University of Technology, Poland
Bo PENG – University of Huddersfield, United Kingdom
Janusz PIECHNA – Warsaw University of Technology, Poland
Maciej PIKULIŃSKI – Warsaw University of Technology, Poland
T.V.V.L.N. RAO – The LNM Institute of Information Technology, Jaipur, India
Andrzej RUSIN – Silesian University of Technology, Gliwice, Poland
Artur RUSOWICZ – Warsaw University of Technology, Poland
Benjamin SCHLEICH – Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany
Jerzy SĘK – Lodz University of Technology, Poland
Reza SERAJIAN – University of California, Merced, USA
Artem SHAKLEIN – Udmurt Federal Research Center, Izhevsk, Russia
G.L. SHI – Guangxi University of Science and Technology, Liuzhou, China
Muhammad Faheem SIDDIQUI – Vrije University, Brussels, Belgium
Jarosław SMOCZEK – AGH University of Science and Technology, Cracow, Poland
Josip STJEPANDIC – PROSTEP AG, Darmstadt, Germany
Pavel A. STRIZHAK – Tomsk Polytechnic University, Russia
Vadym STUPNYTSKYY – Lviv Polytechnic National University, Ukraine
Miklós SZAKÁLL – Johannes Gutenberg-Universität Mainz, Germany
Agnieszka TOMASZEWSKA – Gdansk University of Technology, Poland
Artur TYLISZCZAK – Czestochowa University of Technology, Poland
Aneta USTRZYCKA – Institute of Fundamental Technological Research, Warsaw, Poland
Alper UYSAL – Yildiz Technical University, Turkey
Gabriel WĘCEL – Silesian University of Technology, Gliwice, Poland
Marek WĘGLOWSKI – Welding Institute, Gliwice, Poland
Frank WILL – Technische Universität Dresden, Germany
Michał WODTKE – Gdańsk University of Technology, Poland
Marek WOJTYRA – Warsaw University of Technology, Poland
Włodzimierz WRÓBLEWSKI – Silesian University of Technology, Gliwice, Poland
Hongtao WU – Nanjing University of Aeronautics and Astronautics, China
Jinyang XU – Shanghai Jiao Tong University, China
Zhiwu XU – Harbin Institute of Technology, China
Zbigniew ZAPAŁOWICZ – West Pomeranian University of Technology, Szczecin, Poland
Zdzislaw ZATORSKI – Polish Naval Academy, Gdynia, Poland
Wanming ZHAI – Southwest Jiaotong University, Chengdu, China
Xin ZHANG – Wenzhou University of Technology, China
Su ZHAO – Ningbo Institute of Materials Technology and Engineering, China

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