Applied sciences

Archive of Mechanical Engineering

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Archive of Mechanical Engineering | 2020 | vol. 67 | No 4 |

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Abstract

For a deeper understanding of the inner ear dynamics, a Finite-Element model of the human cochlea is developed. To describe the unsteady, viscous creeping flow of the liquid, a pressure-displacement-based Finite-Element formulation is used. This allows one to efficiently compute the basilar membrane vibrations resulting from the fluid-structure interaction leading to hearing nerve stimulation. The results show the formation of a travelingwave on the basilar membrane propagating with decreasing velocity towards the peaking at a frequency dependent position. This tonotopic behavior allows the brain to distinguish between sounds of different frequencies. Additionally, not only the middle ear, but also the transfer behavior of the cochlea contributes to the frequency dependence of the auditory threshold. Furthermore, the fluid velocity and pressure fields show the effect of viscous damping forces and allow us to deeper understand the formation of the pressure difference, responsible to excite the basilar membrane.

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Authors and Affiliations

Philipp Wahl
1
Pascal Ziegler
1
Peter Eberhard
1

  1. Institute of Engineering and Computational Mechanics, University of Stuttgart, Germany
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Abstract

Embedded delamination growth stability was analysed with the help of the FEM combined with a specially developed procedure for node relocation to obtain a smooth variation of the SERR components along the delamination contour. The procedure consisted in the replacement of the actual material with the very compliant fictitious one and the displacement of the delamination front nodes by the previously determined distance in a local coordinate system. Due to this loading, the new delamination front was created. Subsequently, the original material was restored. Evolution under inplane compression of three initially circular delaminations of diameters d = 30, 40 and 50 mm embedded in thin laminates of two different stacking sequences were considered. It was found that the growth history and the magnitude of the load that triggers unstable delamination growth depended mainly on the combined effects of the initial delamination size, delamination contour, out of plane post-buckling geometry of the disbonded layers, reinforcement arrangement, and magnitude and variation of the SERR components along the delamination contour. To present the combined effect of these features, an original concept of the effective resistance curve, G Reff , was introduced.
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Authors and Affiliations

Piotr Czarnocki
1
Tomasz Zagrajek
1

  1. Institute of Aeronautics and Applied Mechanics, Warsaw University of Technology, Poland.
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Abstract

System identification is an approach for parameter detection and mathematical model determination using response signals of a dynamic system. Two degrees of freedom (2DOF) pendulum controlled by a QUBE-servo motor is a great experiment device to work with; though it is not easy to control this system due to its complex structure and multi-dimensional outputs. Hence, system identification is required for this system to analyze and evaluate its dynamic behaviors. This paper presents a methodology for identifying a 2DOF pendulum and its dynamic behaviors including noise from an encoder cable. Firstly, all parameters from both mechanical and electrical sides of the QUBE-servo motor are analyzed. Secondly, a mathematical model and identified parameters for the 2DOF pendulum are illustrated. Finally, disturbances from encoder cable of the QUBE-servo motor which introduce an unwanted oscillation or self-vibration in this system are introduced. The effect of itself on output response signals of the 2DOF QUBE-pendulum is also discussed. All identified parameters are checked and verified by a comparison between a theoretical simulation and experimental results. It is found that the disturbance from encoder cable of the 2DOF QUBE-pendulum is not negligible and should be carefully considered as a certain factor affecting response of system.

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Authors and Affiliations

Hoai Nam Le
1
Phuoc Vinh Dang
1
Anh-Duc Pham
1
Nhu Thanh Vo
1

  1. Faculty of Mechanical Engineering, The University of Danang – University of Science andTechnology, Danang, Vietnam.
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Abstract

In this paper, a comprehensive study is carried out on the dynamic behaviour of Euler–Bernoulli and Timoshenko beams resting on Winkler type variable elastic foundation. The material properties of the beam and the stiffness of the foundation are considered to be varying along the length direction. The free vibration problem is formulated using Rayleigh-Ritz method and Hamilton’s principle is applied to generate the governing equations. The results are presented as non-dimensional natural frequencies for different material gradation models and different foundation stiffness variation models. Two distinct boundary conditions viz., clamped-clamped and simply supported-simply supported are considered in the analysis. The results are validated with existing literature and excellent agreement is observed between the results.

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Authors and Affiliations

Saurabh Kumar
1

  1. Department of Mechanical Engineering, School of Engineering, University of Petroleum andEnergy Studies (UPES), Dehradun, 248007, India.
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Abstract

A compliant beam subjected to large deformation is governed by a multifaceted nonlinear differential equation. In the context of theoretical mechanics, solution for such equations plays an important role. Since it is hard to find closed-form solutions for this nonlinear problem and attempt at direct solution results in linearising the model. This paper investigates the aforementioned problem via the multi-step differential transformation method (MsDTM), which is well-known approximate analytical solutions. The nonlinear governing equation is established based on a large radius of curvature that gives rise to curvature-moment nonlinearity. Based on established boundary conditions, solutions are sort to address the free vibration and static response of the deforming flexible beam. The geometrically linear and nonlinear theory approaches are related. The efficacy of the MsDTM is verified by a couple of physically related parameters for this investigation. The findings demonstrate that this approach is highly efficient and easy to determine the solution of such problems. In new engineering subjects, it is forecast that MsDTM will find wide use.

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Authors and Affiliations

Theddeus Tochukwu Akano
1
Patrick Shola Olayiwola
1

  1. University of Lagos, Lagos, Nigeria.
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Abstract

A numerical solution is presented to investigate the influence of the geometry and the amplitude of the transverse ridge on the characteristics of elastohydrodynamic lubrication for point contact problem under steady state condition. Several shapes of ridges with different amplitudes are used in the stationary case, such as flattop ridge, cosine wave ridge and sharp ridge of triangular shape. Results of film thickness and pressure distributions of the aforementioned ridge feature are presented at different locations through an elastohydrodynamically lubricated contact zone for different amplitude of the ridge. Simulations were performed using the Newton-Raphson iteration technique to solve the Reynolds equation. The numerical results reveal that, to predict optimum solution for lubricated contact problem with artificial surface roughness, the geometrical characteristics of the ridge should have profiles with smooth transitions such as those of a cosine wave shape with relatively low amplitude to reduce pressure spike and therefore cause the reduction in the film thickness. The position of the location of the ridge across the contact zone and the amplitude of the ridge play an important role in the formation of lubricant film thickness and therefore determine the pressure distribution through the contact zone.

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Authors and Affiliations

Mohamed F. Abd Al-Samieh
1

  1. Mechanical Design & Production Department, Military Technical College, Cairo, Egypt.

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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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