Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi

AVCAR, Mehmet

doi:10.2339/2016.19.4 507-512

Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi

Mehmet AVCAR (Süleyman Demirel Üniversitesi, Mühendislik Fakültesi, İnşaat Mühendisliği Bölümü, Isparta, Türkiye)

Politeknik Dergisi

4 0

Yıl: 2016 Cilt: 19 Sayı: 4 Sayfa Aralığı: 507 - 512 Metin Dili: Türkçe DOI: 10.2339/2016.19.4 507-512 İndeks Tarihi: 19-06-2021

Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi

Öz:

Sunulan çalışmada, elastik zemine oturan eksenel yüke maruz homojen olmayan (HO) malzemelerden oluşan kirişin serbesttitreşimi incelenmiştir. Malzemenin homojen olmaması kalınlık doğrultusunda elastisite modülünün üstel fonksiyon şeklindedeğişimi ile karakterize edilmiş, yoğunluğun sabit kaldığı varsayılmıştır. Ayrıca, elastik zeminin lineer, homojen ve izotrop olduğuvarsayılmış, zeminin kirişe tepkisi iki parametreli Pasternak modeli kullanılarak modellenmiştir. İlk olarak Bernoulli-Euler kirişteorisi kullanılarak Pasternak zemine oturan HO kirişin hareket denklemleri elde edilmiştir. Elde edilen denklemler basit mesnetlisınır koşulları için çözülmüştür. Sunulan formülasyonun doğruluğu bir karşılaştırma çalışması yapılarak teyit edilmiştir. HOmalzeme özelliklerinin, elastik zemin parametrelerinin ve eksenel yükün kirişin ilk üç moddaki serbest titreşim frekans parametresideğerlerine etkileri incelenmiştir.

Anahtar Kelime:

Free Vibration of Non-Homogeneous Beam Subjected to Axial Force Resting on Pasternak Foundation

Öz:

In the present study free vibration of non-homogenous beam subjected to the axial force resting on elastic foundation has been examined. Non-homogeneity of the material is characterized considering the exponential variation of the Young's modulus along the thickness direction of the beam while the value of density is assumed to remain constant. The foundation medium is assumed to be linear, homogenous and isotropic, and it is modeled by the Pasternak model with two parameters for describing the reaction of the elastic foundation on the beam. Firstly, the equation of motion of non-homogeneous beam subjected to axial force resting on Pasternak foundation is provided within the frame work of Bernoulli-Euler beam theory. The resulting equation is solved according to the simply supported boundary conditions. To show the accuracy of the present results, a comparison is performed and a good agreement is achieved. The effects of non-homogeneous material properties, elastic foundation parameters and axial load on the values of frequency parameters of the first three modes are examined.

Anahtar Kelime:

Belge Türü: Makale Makale Türü: Araştırma Makalesi Erişim Türü: Erişime Açık

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APA	AVCAR M (2016). Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi. , 507 - 512. 10.2339/2016.19.4 507-512
Chicago	AVCAR Mehmet Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi. (2016): 507 - 512. 10.2339/2016.19.4 507-512
MLA	AVCAR Mehmet Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi. , 2016, ss.507 - 512. 10.2339/2016.19.4 507-512
AMA	AVCAR M Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi. . 2016; 507 - 512. 10.2339/2016.19.4 507-512
Vancouver	AVCAR M Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi. . 2016; 507 - 512. 10.2339/2016.19.4 507-512
IEEE	AVCAR M "Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi." , ss.507 - 512, 2016. 10.2339/2016.19.4 507-512
ISNAD	AVCAR, Mehmet. "Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi". (2016), 507-512. https://doi.org/10.2339/2016.19.4 507-512

APA	AVCAR M (2016). Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi. Politeknik Dergisi, 19(4), 507 - 512. 10.2339/2016.19.4 507-512
Chicago	AVCAR Mehmet Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi. Politeknik Dergisi 19, no.4 (2016): 507 - 512. 10.2339/2016.19.4 507-512
MLA	AVCAR Mehmet Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi. Politeknik Dergisi, vol.19, no.4, 2016, ss.507 - 512. 10.2339/2016.19.4 507-512
AMA	AVCAR M Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi. Politeknik Dergisi. 2016; 19(4): 507 - 512. 10.2339/2016.19.4 507-512
Vancouver	AVCAR M Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi. Politeknik Dergisi. 2016; 19(4): 507 - 512. 10.2339/2016.19.4 507-512
IEEE	AVCAR M "Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi." Politeknik Dergisi, 19, ss.507 - 512, 2016. 10.2339/2016.19.4 507-512
ISNAD	AVCAR, Mehmet. "Pasternak Zemine Oturan Eksenel Yüke Maruz Homojen Olmayan Kirişin Serbest Titreşimi". Politeknik Dergisi 19/4 (2016), 507-512. https://doi.org/10.2339/2016.19.4 507-512