ANALYSIS OF LARGE DEFLECTIONS OF LINEAR BIMODULUS CANTILEVER BEAMS SUBJECTED TO CONCENTRATED LOAD AT THE FREE END

Year 2015, Volume: 17 Issue: 49, 1 - 12, 01.01.2015

İbrahim Eren

Abstract

Large deflections of linear bimodulus cantilever beams subjected to concentrated load at the free end are compared by using different numerical methods

Keywords

Large deflections, bimodulus, cantilever beam, concentrated load

SERBEST UÇ NOKTASINDAN TEKİL KUVVET ETKİYEN DOĞRUSAL ÇİFT MODÜLLÜ KONSOL KİRİŞLERDEKİ BÜYÜK YER DEĞİŞTİRMELERİN ANALİZİ

Abstract

Çekme ve basmada farklı elastiklik modülü alınan doğrusal çift modüllü, serbest ucundan tekil yük etkiyen konsol kirişlerde büyük yer değiştirmeler, farklı sayısal yöntemlerle hesaplanarak karşılaştırılmıştır

Keywords

büyük yer değiştirmeler, çift modül, konsol kiriş, tekil yük

References

• Bisshopp KE, Drucker DC. “Large Deflections of Cantilever Beams”, Quarterly of Applied Mathematics, Cilt.3, 1945, s.272-275.
• Lau JH. “Large Deflections of Beams with Combined Loads”, Journal of Engineering Mechanics, Cilt.108, 1982, s.180-185.
• Rao BN, Rao GV. “On the Large Deflection of Cantilever Beams with End Rotational Load”, ZAMM Journal of applied mathematics and mechanics, Cilt.66, 1986, s.507-509.
• Baker G. “On the Large Deflections of Non- prismatic Cantilevers with a Finite Depth”, Computers & Structures,Cilt.46, 1993, s.365-370.
• Lee BK, Wilson JF, Oh SJ “Elastica of Cantilevered Beams with Variable Cross Sections”, International Journal of Non-Linear Mechanics, Cilt.28, 1993, s.579-589.
• Frisch-Fay R. Flexible Bars, London: Butter Worths, 1962.
• Fertis DG. Nonlinear Mechanics, New York: CRC Pres, 1999.
• Scott EJ, Carver DR, Kan M. “On the Linear Differential Equation for Beam Deflection”, Journal of Applied Mechanics, Cilt.22, 1955, s.245-248.
• Prathap G, Varadan TK. “The Inelastic Large Deformation of Beams”, Journal of Applied Mechanics, Cilt.43, 1976, s.689-690.
• Varadan TL, Joseph D. “Inelastic Finite Deflections of Cantilever Beams”, Journal of the Aeronautical Society of India, Cilt.39, 1987, s.39-41.
• Lewis G, Monosa F. “Large Deflections of Cantilever Beams of Non-linear Materials”, Computers & Structures,Cilt.14, 1981, s.357-360.
• Lewis G, Monosa F. “Large Deflections of Cantilever Beams of Non-linear Materials of the Ludwick Type Subjected to an End Moment”, International Journal of Non-Linear Mechanics, Cilt.17, 1982, s.1-6.
• Lo CC, Gupta SD. “Bending of a Nonlinear Rectangular Beam in Large Deflection”, Journal of Applied Mechanics, Cilt.45, 1978, s.213-215.
• Lee K. “Large Deflections of Cantilever Beams of Non-linear Elastic Material under a Combined Loading”, International Journal of Non-Linear Mechanics, Cilt.37, 2002, s.439-443.
• Güven U, Baykara C, Bayer İ. “Large deflections of a cantilever beam of nonlinear bimodulus material subjected to an end moment”, Journal of Reinforced Plastics and Composites, Cilt.24, No.12, 2005, s.1321-1326.
• Eren İ. “Kirişlerdeki Büyük Yer Değiştirmeler Üzerine Bazı Yeni Çözümler”, Doktora Tezi, Yıldız Teknik Üniversitesi, Fen Bilimleri Enstitüsü, 2006, s.105.
• Eren İ. “Analyses of Large Deflections for Logarithmical Bimodulus Cantilever Beams”, Journal of Reinforced Plastics and Composites, Cilt.28, No.11, 2009, s.1359-1363.
• Kun C, Zhadiang G, Jiao S. “Compliance optimization of a continuum with bimodulus material under multiple load cases”, Computer-Aided Design, Cilt.45, No.2, 2013, s.195- 203.