Periyodik yığılı kütleli kirişlerde eğilme dalgalarının yayılımı

Year 2022, Volume: 11 Issue: 4, 961 - 973, 14.10.2022

Aydın Özmutlu

https://doi.org/10.28948/ngumuh.1114041

Abstract

Bu çalışmada, periyodik yığılı kütleli Euler-Bernoulli kirişinde dispersiyon analizi yapılmakta ve periyodikliğin etkileri araştırılmaktadır. Önce sonsuz uzunlukta periyodik yığılı kütleli bir kiriş için yayılma matrisi yöntemi kullanılarak dispersiyon ilişkisi türetilmiş ve kütle oranına bağlı olarak oluşan bantlı frekans spekturumu verilmiştir. Daha sonra sonlu sayıda periyodik yığılı kütle olması durumunda dalga yayılımına olan etki araştırılmış ve iletkenlik fonksiyonu elde edilmiştir. Son olarak bu yığılı kütlelerden oluşan bariyerin yerdeğiştirme mod şekilleri, geçme ve durma bandı frekans değerleri için elde edilmiştir. Sonuçlar, periyodik yığılı kütleler ile yapılacak tasarımların dalga bariyeri olarak kullanılmasının mümkün olduğunu göstermektedir.

Keywords

Eğilme dalgası, Periyodik yapı, Yığılı kütle, , Bant boşluğu, Yayılma matrisi yöntemi

Propagation of flexural waves in beams with periodic lumped mass

Abstract

In this study, dispersion analysis is carried out in the Euler-Bernoulli beam with periodic lumped mass, and periodicity effects are investigated. First, the dispersion relation is derived using the propagator matrix method for an infinitely long periodic beam with lumped mass. The banded frequency spectrum is given depending on the mass ratio. Then, in the case of a finite number of periodic lumped masses, the effect on wave propagation was investigated and the transmission function was obtained. Finally, the displacement mode shapes of the barrier consisting of these lumped masses were obtained for the pass and stop band frequency values. The results show that it is possible to use designs made with periodic lumped masses as wave barriers.

Keywords

Flexural wave, Periodic structure, Lumped mass, Bandgap, Propagator matrix method

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