Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method

TAN, H. Tugba; KAYA, Metin O.; KACAR, Alev

Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method

Alev KACAR, (İstanbul Teknik Üniversitesi, Uçak ve Uzay Bilimleri Fakültesi, İstanbul, Türkiye)

H. Tugba TAN, (İstanbul Teknik Üniversitesi, Uçak ve Uzay Bilimleri Fakültesi, İstanbul, Türkiye)

Metin O. KAYA (İstanbul Teknik Üniversitesi, Uçak ve Uzay Bilimleri Fakültesi, İstanbul, Türkiye)

Mathematical and Computational Applications

17 3

Yıl: 2011 Cilt: 16 Sayı: 3 Sayfa Aralığı: 773 - 783 Metin Dili: İngilizce İndeks Tarihi: 29-07-2022

Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method

Öz:

In this study, free vibration of an Euler-Bernoulli beam resting on a variable Winkler foundation is considered. Structures which are supported along their length such as beams or pipelines resting on elastic soil are very commonly modeled with a Winkler foundation. In this problem, the elastic coefficient of the foundation is variable along the beam major axis. Constant, linear and parabolic variations are considered. The problem is handled for three different boundary conditions: simply supported-simply supported, clamped-clamped and cantilever (clamped-free) beams. The governing differential equations of the beam are solved by using Differential Transform Method (DTM). DTM is an easy transformation technique based on Taylor expansion series, providing high accuracy.

Anahtar Kelime:

Konular: Matematik

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

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APA	KACAR A, TAN H, KAYA M (2011). Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method. , 773 - 783.
Chicago	KACAR Alev,TAN H. Tugba,KAYA Metin O. Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method. (2011): 773 - 783.
MLA	KACAR Alev,TAN H. Tugba,KAYA Metin O. Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method. , 2011, ss.773 - 783.
AMA	KACAR A,TAN H,KAYA M Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method. . 2011; 773 - 783.
Vancouver	KACAR A,TAN H,KAYA M Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method. . 2011; 773 - 783.
IEEE	KACAR A,TAN H,KAYA M "Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method." , ss.773 - 783, 2011.
ISNAD	KACAR, Alev vd. "Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method". (2011), 773-783.

APA	KACAR A, TAN H, KAYA M (2011). Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method. Mathematical and Computational Applications, 16(3), 773 - 783.
Chicago	KACAR Alev,TAN H. Tugba,KAYA Metin O. Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method. Mathematical and Computational Applications 16, no.3 (2011): 773 - 783.
MLA	KACAR Alev,TAN H. Tugba,KAYA Metin O. Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method. Mathematical and Computational Applications, vol.16, no.3, 2011, ss.773 - 783.
AMA	KACAR A,TAN H,KAYA M Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method. Mathematical and Computational Applications. 2011; 16(3): 773 - 783.
Vancouver	KACAR A,TAN H,KAYA M Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method. Mathematical and Computational Applications. 2011; 16(3): 773 - 783.
IEEE	KACAR A,TAN H,KAYA M "Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method." Mathematical and Computational Applications, 16, ss.773 - 783, 2011.
ISNAD	KACAR, Alev vd. "Free vibration analysis of beams on variable winkler elastic foundation by using the differential transform method". Mathematical and Computational Applications 16/3 (2011), 773-783.