Since 1963
ARTICLE
Resonance of a rotary machine support beam considering geometric stiffness
| 1 | Federal University of Bahia (UFBA), Polytechnic School, Department of Construction and Structures, Salvador, Brazil |
| 2 | University of São Paulo (USP), Polytechnic School, Department of Structural and Geotechnical Engineering, São Paulo, Brazil |
| 3 | Federal University of Technology of Parana (UTFPR), Department of Electronics, Ponta Grossa, Brazil |
CORRESPONDING AUTHOR
Alexandre de Macêdo Wahrhaftig
Polytechnic School, Department of Construction and Structures, Federal University of Bahia (UFBA), Rua Aristides Novís, Nº 02, 5º andar, Federação, 40210-910, Salvador – BA, Brazil
Polytechnic School, Department of Construction and Structures, Federal University of Bahia (UFBA), Rua Aristides Novís, Nº 02, 5º andar, Federação, 40210-910, Salvador – BA, Brazil
Submission date: 2020-02-02
Acceptance date: 2020-04-20
Online publication date: 2020-10-15
Publication date: 2020-10-15
Journal of Theoretical and Applied Mechanics 2020;58(4):1023–1035
KEYWORDS
TOPICS
solid mechanicsstability and vibrations systemscomputational mechanicsexperimental mechanicsmechanics of continuastructures mechanics
ABSTRACT
The effects of axial compressive forces on free vibration frequencies of rotating machine
support beams are investigated taking into account their geometric stiffness. One class of
structures that has economic and strategic importance is the base of machines, which is
excited by vibrations induced by the supported equipment. These vibrations can affect the
structures or, more generally, may generate damage to the supported equipment and the
quality of production. They may also render human working conditions difficult. In the
current work, these effects are studied via mathematical modeling, numerical simulation
and experimental evaluation.
REFERENCES (25)
1.
Ashwear N., Tamadapu G., Eriksson A., 2016, Optimization of modular tensegrity structures for high stiffness and frequency separation requirements, International Journal of Solids and Structures, DOI: 10.1016/j.ijsolstr.2015.11.017.
2.
Balthazar J.M., Mook D.T., Weber H.I, Brasil R.M.L.R.F., Fenili A., Belato D., Felix J.LP., 2003, An overview on non-ideal vibrations, Meccanica, DOI: 10.1023/A:1025877308510.
3.
Balthazar J.M., Tusset A.M., Brasil R.M.L.R.F, Felix J.L.P., Rocha R.T., Janzen F.C., Nabarrete A., Oliveira C., 2018, An overview on the appearance of the Sommerfeld effect and saturation phenomenon in non-ideal vibrating systems (NIS) in macro and MEMS scales, Nonlinear Dynamics, DOI: 10.1007/s11071-018-4126-0.
4.
Bovenau J. and Hydraulic Equipment, 2018, http://www.bovenau.com.br/ (in Portuguese), accessed April 2018.
5.
Chandravanshi M.L., Mukhopadhyay A.K., 2017, Analysis of variations in vibration behawior of vibratory feeder due to change in stiffness of helical springs using FEM and EMA methods, Journal of the Brazilian Society of Mechanical Sciences and Engineering, DOI: 10.1007/s40430-017-0767-z.
6.
Czajkowski M., Gertner M., Ciulkin M., 2016, Control of anisotropic rotor vibration using fractional order controller, Journal of Theoretical and Applied Mechanics, DOI:10.15632/jtam-pl.54.3.1013.
7.
Fichera F., Grossard M., 2017, On the modeling and identification of stiffness in cablebased mechanical transmissions for robot manipulators, Mechanism and Machine Theory, DOI: 10.1016/j.mechmachtheory.2016.10.020.
8.
HBM – Test and Measurement, 2014, User Guide and Specifications, São Paulo (in Portuguese).
9.
Heindel S., Müller P.C., Rinderknecht S., 2018, Unbalance and resonance elimination with active bearings on general rotors, Journal of Sound and Vibration, DOI: 10.1016/j.jsv.2017.07.048.
10.
Lin T.R., Pan J., O’Shea P.J., Mechefske C.K., 2009, A study of vibration and vibration control of ship structures, Marine Structures, DOI: 10.1016/j.marstruc.2009.06.004.
11.
Lynx Electronic Technology, 2014, User Guide for AqDados/AqDAnalysis, São Paulo (in Portuguese).
12.
Markert R., Seidler M., 2001, Analytically based estimation of the maximum amplitude during passage through resonance, International Journal of Solids and Structures, DOI: 10.1016/S0020-7683(00)00147-5.
13.
Motallebi A., Irani S., Sazesh S., 2016, Analysis on jump and bifurcation phenomena in the forced vibration of nonlinear cantilever beam using HBM, Journal of the Brazilian Society of Mechanical Sciences and Engineering, 38, 515-524, DOI: 10.1007/s40430-015-0352-2.
14.
Ng L., Rand R., O’Neil M., 2002, Slow passage through resonance in Mathieu’s equation, Journal of Vibration and Control, DOI: 10.1177/1077546303009006004.
15.
Nie S., Zhung Y., Chen F., Wang Y., Liu S., 2018, A method to eliminate unsprung adverse effect of in-wheel motor-driven vehicles, Journal of Low Frequency Noise Vibration and Active Control, DOI: 10.1177/1461348418767096.
16.
Patel B.P., Ibrahim S.M., Nath Y., 2016, On the internal resonance characteristics of curved beams, Journal of Vibration and Control, DOI: 10.1177/1077546314547375.
17.
Rayleigh J.W.S., 1877, Theory of Sound, re-issued (1945) Dover Publications, New York.
18.
Wahrhaftig A.M., 20019, Analysis of the first modal shape using two case studies, International Journal for Computational Methods, DOI: 10.1142/S0219876218400194.
19.
Wahrhaftig A.M., Brasil R.M.L.R.F., 2016, Vibration analysis of mobile phone mast system by Rayleigh method, Applied Mathematical Modelling, DOI: 10.1016/j.apm.2016.10.020.
20.
Wahrhaftig A.M., Brasil R.M.L.R.F., 2017, Initial undamped resonant frequency of slender structures considering nonlinear geometric effects: The case of a 60.8m-high mobile phone mast, Journal of the Brazilian Society of Mechanical Sciences and Engineering, DOI: 10.1007/s40430-016-0547-1.
21.
Wahrhaftig A.M., Brasil R.M.L.R.F., Balthazar J.M., 2013, The first frequency of cantilevered bars with geometric effect: A mathematical and experimental evaluation, Journal of the Brazilian Society of Mechanical Sciences and Engineering, DOI: 10.1007/s40430-013-0043-9.
22.
Wahrhaftig A.M., Brasil R.M.L.R.F., Nascimento L.S.M.S. C., 2018, Analytical and mathematical analysis of the vibration of structural systems considering geometric stiffness and viscoelasticity, numerical simulations in engineering and science, IntechOpen, DOI: 10.5772/intechopen.75615.
23.
Wang D., Hao Z., Chen Y., Zhang Y., 2018, Dynamic and resonance response analysis for a turbine blade with varying rotating speed, Journal of Theoretical and Applied Mechanics, DOI: 10.15632/jtam-pl.56.1.31.
24.
Zhou Z., Meng S.-P., Wu J., 2012, A whole process optimal design method for prestressed steel structures considering the influence of different pretension schemes, Advances in Structural Engineering, DOI: 10.1260/1369-4332.15.12.2205.
25.
Zou D., Jiao C., Ta N., Rao Z., 2016, Forced vibrations of a marine propulsion shafting with geometrical nonlinearity (primary and internal resonances), Mechanism and Machine Theory, DOI: 10.1016/j.mechmachtheory.2016.07.003.
We process personal data collected when visiting the website. The function of obtaining information about users and their behavior is carried out by voluntarily entered information in forms and saving cookies in end devices. Data, including cookies, are used to provide services, improve the user experience and to analyze the traffic in accordance with the Privacy policy. Data are also collected and processed by Google Analytics tool (more).
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.
You can change cookies settings in your browser. Restricted use of cookies in the browser configuration may affect some functionalities of the website.