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Free vibration analysis of mixed supported beam

Yıl 2020, Cilt: 26 Sayı: 1, 1 - 8, 20.02.2020

Yaşar Pala Semih Beyçimen

Öz

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.

Anahtar Kelimeler

Mixed supports Spring Beam Free vibration

Kaynakça

  • 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

Yıl 2020, Cilt: 26 Sayı: 1, 1 - 8, 20.02.2020

Yaşar Pala Semih Beyçimen

Öz

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.

Anahtar Kelimeler

Karma mesnetler Yay Kiriş Serbest Titreşim

Kaynakça

  • 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.
Toplam 19 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Konular Mühendislik
Bölüm Makale
Yazarlar

Yaşar Pala Bu kişi benim

Semih Beyçimen Bu kişi benim

Yayımlanma Tarihi 20 Şubat 2020
Yayımlandığı Sayı Yıl 2020 Cilt: 26 Sayı: 1

Kaynak Göster

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. Şubat 2020;26(1):1-8.
Chicago Pala, Yaşar, ve Semih Beyçimen. “Karma Mesnetli kirişin Serbest titreşim Analizi”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 26, sy. 1 (Şubat 2020): 1-8.
EndNote Pala Y, Beyçimen S (01 Şubat 2020) Karma mesnetli kirişin serbest titreşim analizi. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 26 1 1–8.
IEEE Y. Pala ve S. Beyçimen, “Karma mesnetli kirişin serbest titreşim analizi”, Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, c. 26, sy. 1, ss. 1–8, 2020.
ISNAD Pala, Yaşar - Beyçimen, Semih. “Karma Mesnetli kirişin Serbest titreşim Analizi”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi 26/1 (Şubat 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 ve Semih Beyçimen. “Karma Mesnetli kirişin Serbest titreşim Analizi”. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, c. 26, sy. 1, 2020, ss. 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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