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Free vibration analysis of mixed supported beam

Year 2020, Volume: 26 Issue: 1, 1 - 8, 20.02.2020

Yaşar Pala Semih Beyçimen

Abstract

In this study, the free vibration of a Euler-Bernoulli beam with rotating and transitional springs at both ends has been investigated. According to different spring coefficients, frequency tables and mode shapes have been created for both symmetric and non-symmetric cases. By changing spring constants, many conditions have been examined and interpreted. It has been found that the effect of spring constants on frequencies is extremely low at high frequencies and the difference between two frequencies approaches to a constant value.

Keywords

Mixed supports Spring Beam Free vibration

References

  • Chun KR. “Free vibration of a beam with one end spring-hinged and the other free”. Journal of Applied Mechanics, 39, 1154-1155, 1972.
  • Lee TW. “Vibration frequencies for a uniform beam with one end spring-hinged and carrying a mass at the other free end”. Journal of Applied Mechanics, 40, 813-815, 1973.
  • Maurizi MJ, Rossi RE, Reyes JA. “Vibration frequencies for a beam with one end spring-hinged and subjected to a translational restraint at the other end”. Journal of Sound and Vibration, 48, 565-568, 1976.
  • Goel RP. “Free vibrations of a beam-mass system with elastically restrained ends”. Journal of Sound and Vibration, 47, 9-14, 1976.
  • Passlg EG. “End slope and fundamental frequency of vibrating fuel rods”. Nuclear Engineering and Design, 14, 198-200, 1970.
  • Avcar M. “Free vibration analysis of beams considering different geometric characteristics and boundary conditions”. International Journal of Mechanics and Applications, 4(3), 94-100, 2014.
  • Avcar M, Saplıoğlu K. “An artificial neural network application for estimation of natural frequencies of beams”. International Journal of Advanced Computer Science and Applications, 6(6), 94-102, 2015.
  • Yanık F, Yaylı MO. “Rijit olmayan sınır koşullarında elastik zemine oturan bir çubuğun eksenel titreşim analizi”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, 2(1), 35-44, 2015.
  • Ece MC, Aydogdu M, Taskin V. “Vibration of a variable cross-section beam”. Mechanics Research Communications, 34, 78-84, 2007.
  • Bapat CN, Bapat C. “Natural frequencies of a beam with non-classical boundary conditions and concentrated masses”. Journal of Sound and Vibration, 1, 66-71, 1987
  • Sundararajan C. “Fundamental frequency of beams with elastic rotational restraints”. Journal of Mechanical Design, 101, 711-712, 1979.
  • Rao GV, Naıdu NR. “Free vibration and stability behaviour of uniform beams and columns with non-linear elastic end rotational restraints”. Journal of Sound and Vibration,176, 130-135, 1994.
  • Laura PAA, Pombo JL, Susemihl EA. “A note on the vibrations of a clamped-free beam with a mass at the free end”. Journal of Sound and Vibration, 37(2), 161-168, 1974.
  • Chang CH. “Free vibration of a simply supported beam carrying a rigid mass at the middle”. Journal of Sound and Vibration, 237(4), 733-744, 2000.
  • Banerjee JR. “Free vibration of beams carrying spring-mass systems-A dynamic stiffness approach”. Computers and Structures, 104-105, 21-26, 2012.
  • Rossit CA. and Laura PAA, “Free vibrations of a cantilever beam with a spring-mass system attached to the free end”. Ocean Engineering, 28, 933-939, 2001.
  • Avcar M, Mohammed WKM. “Winkler zemin ve fonksiyonel derecelendirilmiş malzeme özelliklerinin kirişin frekans parametrelerine etkilerinin incelenmesi”. Journal of Engineering Sciences and Design, 5(3), 573-580, 2017.
  • Avcar M, Mohammed WKM. “Free vibration of functionally graded beams resting on Winkler-Pasternak foundation” Arabian Journal of Geosciences, 11(10), 232, 2018.
  • Rao SS. Mechanical Vibration. 4nd ed. Pearson Edu. USA, New Jersey, 2004.

Karma mesnetli kirişin serbest titreşim analizi

Year 2020, Volume: 26 Issue: 1, 1 - 8, 20.02.2020

Yaşar Pala Semih Beyçimen

Abstract

Bu çalışmada iki ucunda dönme ve ötelenme yayı bulunan bir Euler-Bernoulli kirişin serbest titreşimi incelenmiştir. Farklı yay katsayılarına göre hem simetrik hem de simetrik olmayan durumlara göre frekans tabloları ve mod şekilleri oluşturulmuştur. Yay sabitleri değiştirilerek birçok durum incelenmiş ve yorumlanmıştır. Yüksek frekanslarda yay sabitlerinin frekanslar üzerine etkisinin son derece azaldığı ve iki frekans arasındaki farkın sabit bir değere yaklaştığı bulunmuştur.

Keywords

Karma mesnetler Yay Kiriş Serbest Titreşim

References

  • Chun KR. “Free vibration of a beam with one end spring-hinged and the other free”. Journal of Applied Mechanics, 39, 1154-1155, 1972.
  • Lee TW. “Vibration frequencies for a uniform beam with one end spring-hinged and carrying a mass at the other free end”. Journal of Applied Mechanics, 40, 813-815, 1973.
  • Maurizi MJ, Rossi RE, Reyes JA. “Vibration frequencies for a beam with one end spring-hinged and subjected to a translational restraint at the other end”. Journal of Sound and Vibration, 48, 565-568, 1976.
  • Goel RP. “Free vibrations of a beam-mass system with elastically restrained ends”. Journal of Sound and Vibration, 47, 9-14, 1976.
  • Passlg EG. “End slope and fundamental frequency of vibrating fuel rods”. Nuclear Engineering and Design, 14, 198-200, 1970.
  • Avcar M. “Free vibration analysis of beams considering different geometric characteristics and boundary conditions”. International Journal of Mechanics and Applications, 4(3), 94-100, 2014.
  • Avcar M, Saplıoğlu K. “An artificial neural network application for estimation of natural frequencies of beams”. International Journal of Advanced Computer Science and Applications, 6(6), 94-102, 2015.
  • Yanık F, Yaylı MO. “Rijit olmayan sınır koşullarında elastik zemine oturan bir çubuğun eksenel titreşim analizi”. Bilecik Şeyh Edebali Üniversitesi Fen Bilimleri Dergisi, 2(1), 35-44, 2015.
  • Ece MC, Aydogdu M, Taskin V. “Vibration of a variable cross-section beam”. Mechanics Research Communications, 34, 78-84, 2007.
  • Bapat CN, Bapat C. “Natural frequencies of a beam with non-classical boundary conditions and concentrated masses”. Journal of Sound and Vibration, 1, 66-71, 1987
  • Sundararajan C. “Fundamental frequency of beams with elastic rotational restraints”. Journal of Mechanical Design, 101, 711-712, 1979.
  • Rao GV, Naıdu NR. “Free vibration and stability behaviour of uniform beams and columns with non-linear elastic end rotational restraints”. Journal of Sound and Vibration,176, 130-135, 1994.
  • Laura PAA, Pombo JL, Susemihl EA. “A note on the vibrations of a clamped-free beam with a mass at the free end”. Journal of Sound and Vibration, 37(2), 161-168, 1974.
  • Chang CH. “Free vibration of a simply supported beam carrying a rigid mass at the middle”. Journal of Sound and Vibration, 237(4), 733-744, 2000.
  • Banerjee JR. “Free vibration of beams carrying spring-mass systems-A dynamic stiffness approach”. Computers and Structures, 104-105, 21-26, 2012.
  • Rossit CA. and Laura PAA, “Free vibrations of a cantilever beam with a spring-mass system attached to the free end”. Ocean Engineering, 28, 933-939, 2001.
  • Avcar M, Mohammed WKM. “Winkler zemin ve fonksiyonel derecelendirilmiş malzeme özelliklerinin kirişin frekans parametrelerine etkilerinin incelenmesi”. Journal of Engineering Sciences and Design, 5(3), 573-580, 2017.
  • Avcar M, Mohammed WKM. “Free vibration of functionally graded beams resting on Winkler-Pasternak foundation” Arabian Journal of Geosciences, 11(10), 232, 2018.
  • Rao SS. Mechanical Vibration. 4nd ed. Pearson Edu. USA, New Jersey, 2004.
There are 19 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Research Article
Authors

Yaşar Pala This is me

Semih Beyçimen This is me

Publication Date February 20, 2020
Published in Issue Year 2020 Volume: 26 Issue: 1

Cite

APA Pala, Y., & Beyçimen, S. (2020). Karma mesnetli kirişin serbest titreşim analizi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, 26(1), 1-8.
AMA Pala Y, Beyçimen S. Karma mesnetli kirişin serbest titreşim analizi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. February 2020;26(1):1-8.
Chicago Pala, Yaşar, and Semih Beyçimen. “Karma Mesnetli kirişin Serbest titreşim Analizi”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 26, no. 1 (February 2020): 1-8.
EndNote Pala Y, Beyçimen S (February 1, 2020) Karma mesnetli kirişin serbest titreşim analizi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 26 1 1–8.
IEEE Y. Pala and S. Beyçimen, “Karma mesnetli kirişin serbest titreşim analizi”, Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, vol. 26, no. 1, pp. 1–8, 2020.
ISNAD Pala, Yaşar - Beyçimen, Semih. “Karma Mesnetli kirişin Serbest titreşim Analizi”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 26/1 (February 2020), 1-8.
JAMA Pala Y, Beyçimen S. Karma mesnetli kirişin serbest titreşim analizi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2020;26:1–8.
MLA Pala, Yaşar and Semih Beyçimen. “Karma Mesnetli kirişin Serbest titreşim Analizi”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, vol. 26, no. 1, 2020, pp. 1-8.
Vancouver Pala Y, Beyçimen S. Karma mesnetli kirişin serbest titreşim analizi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi. 2020;26(1):1-8.

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