Obtaining Critical Buckling Load of a Cantilever Beam by Using Measured Natural Frequencies

Yıl 2019, Cilt: 3 Sayı: 2, 20 - 28, 25.12.2019

Murat Şen , Mesut Hüseyinoğlu Orhan Çakar

Öz

In this study, buckling critical loads are calculated
by using natural frequency values of the first 4 modes obtained by performing
experimental modal analysis (EMA) of a uniform cantilever beam. The analytical
results are presented with the experimental results comparatively. According to
the results it can be said that the vibration data can be used to determine the
critical buckling loads of the beams. So there is no need any buckling tests
that cause deformation in the test structures or analytical and numerical
solutions that need mechanical properties of the beam for obtaining buckling
loads.

Anahtar Kelimeler

Buckling, Critical load, Modal test

Kaynakça

• [1]. A. Chakrabarti, A. H. Sheikh, M. Griffith, and D. J. Oehlers, ‘’Vibration and buckling of composite beams with partıal shear interactions using Hbt’’, Int. J. Struct. & Civil Engg. Res. (2012).
• [2]. M. S. Lake and M. M. Mikulas, ‘’Buckling and vibration analysis of a simply supported column with a piecewise constant cross section’’, NASA Technical Paper (1991) 3090.
• [3]. H. Deng, K. Chen, W. Cheng and S. Zhao, ‘’Vibration and buckling analysis of double-functionally graded Timoshenko beam system on Winkler-Pasternak elastic foundation’’, Composite Structures 160 (2017), 152–168.
• [4]. B. E. Magnucka, Z. Walczaka, P. Jasionb, and L. Wittenbecka, ‘’Buckling and vibrations of metal sandwich beams with trapezoidal corrugated cores – the lengthwise corrugated main core’’, Thin-Walled Structures 112 (2017), 78–82.
• [5]. A. Chakrabarti, H.D. Chalaka, M. A. Iqbala, and A. H. Sheikhb, ‘’Buckling analysis of laminated sandwich beam with soft core’’, Latin American Journal of Solids and Structures 1 (2012), 1-15.
• [6]. M. E. Toygar, O. Sayman, U. Kemiklioğlu, H. Öztürk, Z. Kıral, and F. K. Maleki, ‘’Vibration and buckling analysis of a curved sandwich composite beam with FEM’’, Res. Eng. Struct. Mat. Vol. 2 Iss. 1 (2016), 49-59.
• [7]. H. Matsunaga, ‘’Free vibration and stability of thin elastic beams subjected to axial forces’’, Journal of Sound and Vibration, 191-5 (1996)-917-933.
• [8]. S. Laux, ‘’Estimation of axial load in timber beams using resonance frequency analysis’’, Master’s Thesis, Chalmers Unıversıty of Technology, Göteborg, Sweden (2012).
• [9]. C. Dönmez, E. Karakan, ‘’Köprülerde deneysel modal analiz uygulamaları’’, İMO Teknik Dergi, 4851-4863-318 (2009).