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Stability and Vibrations of Micrononhomogeneous Plate Band Resting on Elastic Subsoil

Marek Chalecki Grzegorz Jemielita
Archives of Civil Engineering | 2021 | vol. 67 | No 1 | 403-424 | DOI: 10.24425/ace.2021.136480
Keywords natural frequency buckling elastic subsoil displacement method
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Abstract

The paper presents a procedure of calculation of natural frequencies and critical buckling forces of a micrononhomogeneous plate band resting on nonhomogeneous elastic subsoil and having any given boundary conditions. The band consists of N parts – cells [?] called elements, having a constant width l = L/N. Each band element consists of three parts – subelements with variable widths. The two of these subelements are matrix, the third – inclusion placed symmetrically relative to the matrix. Each band element is built of two isotropic materials. The matrix and inclusion bands have the stiffness and mass per area unit as well as they rest on the subsoil. The model has been derived with use of the classical displacement method. The stiffness matrix of any band element and then the band stiffness matrix have been built. An appropriate computer program has been written to calculate natural frequencies and critical buckling forces. A number of tests have been performed to check the working of the program and several calculative examples has been presented in the paper.
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Authors and Affiliations

Marek Chalecki
1
ORCID: ORCID
Grzegorz Jemielita
2
  1. Faculty of Civil and Environmental Engineering, Warsaw University of Life Sciences, Nowoursynowska166, Warsaw, 02-787, Poland
  2. Faculty of Civil Engineering, Warsaw University of Technology, Armii Ludowej16, Warsaw, 00-637, Poland

Assessment of the impact of the number of girders on the dynamic behaviour of Geiger dome

Paulina Obara Maryna Solovei
Archives of Civil Engineering | 2023 | vol. 69 | No 3 | 597 –611 | DOI: 10.24425/ace.2023.146100
Keywords Geiger dome infinitesimal mechanism self-stress state natural frequency
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Abstract

In this paper, the dynamic behaviour of the tensegrity domes is explored. The consideration includes all cable structures called Geiger domes, i.e., two cases of configurations (with a closed and open upper section) and two variants of the nature of a dome (regular and modified) are taken into account. Particularly, the impact of the number of girders on the natural frequencies is analysed. A geometrically quasi-linear model is used, implemented in an original program written in the Mathematica environment. The results confirmthat the number of girders affects the number of infinitesimal mechanisms. However, the dynamic behaviour does not depend on the number of mechanisms. The most important is the nature of a dome and the type of load-bearing girder. Especially, the behaviour of Geiger domes with a closed upper section is specific. In this case, not only the frequencies corresponding to the infinitesimal mechanisms depend on the prestress. There are additional frequencies that depend on prestress. The number of them, and the sensitivity on the initial prestress changes, depends on the number of girders. Generally, for the same number of girders, the natural frequencies of regular domes are higher than for the modified ones.
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Authors and Affiliations

Paulina Obara
1
ORCID: ORCID
Maryna Solovei
1
ORCID: ORCID
  1. Kielce University of Technology, Faculty of Civil Engineering, Al. Tysiaclecia Panstwa Polskiego 7, 25-314 Kielce, Poland

Influence of Double-Panel Structure Modification on Vibroacoustical Properties of a Rigid Device Casing

Anna Chrapońska Jarosław Rzepecki Krzysztof Mazur Stanisław Wrona Marek Pawełczyk
Archives of Acoustics | 2020 | vol. 45 | No 1 | 119-127 | DOI: 10.24425/aoa.2020.132488
Keywords noise control vibration control double-panel structures active casing natural frequencies modeshapes
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Abstract

Nowadays, noise generated by devices is a serious issue in industry and in everyday life, because it may cause health damage to humans. In this research, a cubic rigid device casing built of double-panel thin steel walls is employed to reduce noise emitted from an enclosed noise source. Double-panel structure is used because of good sound insulation it provides. There exist three main groups of noise reduction methods, i.e. passive, semi-active and active. In this paper, a semi-active modification of double-panel structure is applied and examined. The bistable actuator (solenoid) mounted between incident and radiating plates changes its state due to applied constant voltage, causing the coupling of plates. Experimentally measured natural frequencies and modeshapes of the structure are compared to the simulation results. The influence of proposed modification on dynamical properties of the structure is analyzed and discussed.

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Authors and Affiliations

Anna Chrapońska
Jarosław Rzepecki
Krzysztof Mazur
Stanisław Wrona
Marek Pawełczyk

Vibration Analysis of a Carbon Nanotube Reinforced Uniform and Tapered Composite Beams

Ananda Babu Arumugam Vasudevan Rajamohan Naresh Bandaru Edwin Sudhagar P. Surajkumar G. Kumbhar
Archives of Acoustics | 2019 | vol. 44 | No 2 | 309-320 | DOI: 10.24425/aoa.2019.128494
Keywords carbon nanotubes uniform and tapered composite beams finite element formulation natural frequency
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Abstract

In this study, free and forced vibration responses of carbon nanotube reinforced uniform and tapered composite beams are investigated. The governing differential equations of motion of a carbon nanotube (CNT) reinforced uniform and tapered composite beams are presented in finite element formulation. The validity of the developed formulation is demonstrated by comparing the natural frequencies evaluated using present FEM with those of available in literature. Various parametric studies are also performed to investigate the effect of aspect ratio, percentage of CNT content, ply orientation, and boundary conditions on natural frequencies and mode shapes of a CNT reinforced composite beam. It was observed that the addition of carbon nanotube in fiber reinforced polymer composite (FRP) beam enhances the stiffness of the structure which consequently increases the natural frequencies and alters the mode shapes.

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Authors and Affiliations

Ananda Babu Arumugam
Vasudevan Rajamohan
Naresh Bandaru
Edwin Sudhagar P.
Surajkumar G. Kumbhar

Dynamic Response of the Stuttgart TV Tower Measured by Classical Instruments and GPS Technology

Peter Breuer Tadeusz Chmielewski Piotr Górski
Archives of Civil Engineering | 2021 | vol. 67 | No 1 | 7-38 | DOI: 10.24425/ace.2021.136459
Keywords Stuttgart TV Tower GPS measurements wind-induced response natural frequency damping ratio
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Abstract

This paper compares the measurement results of dynamic characteristics, including natural frequencies, damping ratio, and wind-induced responses of the Stuttgart TV Tower (TV Tower), obtained by Lenk in 1959 using classical instruments with those obtained by the authors a few decades later using Global Positioning System (GPS). The objective of this paper was to monitor the response of the TV Tower under wind loading, which is an important tool for the validation of its design, construction, and structural health. During the authors’ GPS measurements, weak and moderate wind speeds occurred most of the time. Only in 2007, the stronger wind observed (90 < V < 100 km/h) at the head of the TV Tower (H=157 m), which caused displacements in the decimetre range. Further measurements in 2011 were carried out, using additional GPS receivers with a higher data rate. The results achieved by the GPS prove that the cross-wind response was larger than the along-wind component for all ranges of wind speed, which occurred during the measurement periods, i.e. from 2002 to 2015. The authors of this paper extended Lenk’s results, by the static and along-wind components, confirmed the first natural frequency, and damping ratio, evaluated by the Random Decrement technique. Mounting a GPS receiver, on the steel antenna mast tip, enabled detection of the second natural frequency fs2 = 0.800 Hz, which is the frequency of the mode shape of the TV Tower steel antenna mast. Lenk did not measure this frequency.
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Authors and Affiliations

Peter Breuer
1
Tadeusz Chmielewski
2
Piotr Górski
2
  1. University of Applied Sciences, Schellingstrasse 24, 70174 Stuttgart, Germany
  2. Opole University of Technology, Faculty of Civil Engineering and Architecture, Katowicka 48, 45-061 Opole, Poland

Design and analysis of cementless hip-joint system using functionally graded material

Saeed Asiri
Archive of Mechanical Engineering | 2022 | vol. 69 | No 1 | 129-146 | DOI: 10.24425/ame.2021.139804
Keywords functionally graded material cementless hip-joint system natural frequency harmonic response fatigue analysis finite element analysis modal analysis
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Abstract

Functionally Graded Materials (FGM) are extensively employed for hip plant component material due to their certain properties in a specific design to achieve the requirements of the hip-joint system. Nevertheless, if there are similar properties, it doesn’t necessarily indicate that the knee plant is efficiently and effectively working. Therefore, it is important to develop an ideal design of functionally graded material femoral components that can be used for a long period. A new ideal design of femoral prosthesis can be introduced using functionally graded fiber polymer (FGFP) which will reduce the stress shielding and the corresponding stresses present over the interface. Herein, modal analysis of the complete hip plant part is carried out, which is the main factor and to date, very few research studies have been found on it. Moreover, this enhances the life of hip replacement, and the modal, harmonic, and fatigue analysis determines the pre-loading failure phenomena due to the vibrational response of the hip. This study deals with the cementless hip plant applying the finite element analysis (FEA) model in which geometry is studied, and the femoral bone model is based in a 3D scan.
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Authors and Affiliations

Saeed Asiri
1
ORCID: ORCID
  1. Mechanical Engineering Department, Engineering College King Abdulaziz University, Jeddah, Saudi Arabia

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