Approximate frequency analysis of isotropic shear beams using initial value method

Artan R, Nur C, Guclu G, Demirkan E, Çelik M (2024)

Publication Type: Journal article

Publication year: 2024

Journal

Journal of Engineering Mathematics Springer Verlag (Germany)

Book Volume: 148

Article Number: 15

Journal Issue: 1

DOI: 10.1007/s10665-024-10401-y

Abstract

This study investigates the vibration of isotropic shear beams (ISBs) using the unified shear deformation theory for various shear stress distribution functions. The governing differential equations and boundary conditions are obtained using the principle of virtual work. Using the initial values method, the first five frequencies for various end conditions were calculated with four digits. Frequencies for different shear stress distributions can be easily determined using the approximate transfer matrices provided in this study. To verify the accuracy of the obtained results, we compared the frequencies with the findings in the existing literature.

Authors with CRIS profile

Reha Artan Lehrstuhl für Technische Mechanik (LTM)

Involved external institutions

Istanbul Bilgi University / İstanbul Bilgi Üniversitesi TR Turkey (TR) Dumlupinar University TR Turkey (TR) Istanbul Technical University / İstanbul Teknik Üniversitesi (İTÜ) TR Turkey (TR)

How to cite

APA:

Artan, R., Nur, C., Guclu, G., Demirkan, E., & Çelik, M. (2024). Approximate frequency analysis of isotropic shear beams using initial value method. Journal of Engineering Mathematics, 148(1). https://doi.org/10.1007/s10665-024-10401-y

MLA:

Artan, Reha, et al. "Approximate frequency analysis of isotropic shear beams using initial value method." Journal of Engineering Mathematics 148.1 (2024).

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