Vibration Analysis of a Cantilever Composite Beam by Equivalent Mass-Spring-Damper Systems

Yıl 2018, Cilt: 20 Sayı: 60, 946 - 954, 15.09.2018

Şahin Yavuz , Mehmet Uyar , Levent Malgaca , Hira Karagülle

Öz

Composite
materials are widely used in industrial structures such as manipulators because
they are lightweight and durable. In this work, the vibration analysis of a
cantilever composite beam with [0/90] lay-up was studied. An end point mass was
added to the structure. An initial displacement was applied to the end point
and the free vibration was analyzed experimentally first. Exponential
decay was found. Natural frequencies were determined by taking the Fast
Fourier Transform of the vibration signal. The system was analyzed in ANSYS and
simulation results were obtained. The damping coefficient was determined by
trial using the experimental exponential decay. An equivalent
mass-spring-damper model (MSD) was established using static deflection, natural
frequency and exponential decay obtained experimentally or by simulation.
MSD-analytical results were obtained by the Laplace transform method. The
experimental, simulation, and analytical results were compared for different
end point initial displacement values. It was observed that the results are in
good agreement.

Anahtar Kelimeler

Composite beam, Vibration analysis, Equivalent system, ANSYS

Eşdeğer Kütle-Yay-Sönüm Elemanı Kullanılan Ankastre Kompozit Bir Kirişin Titreşim Analizi

Öz

Kompozit
malzemeler hafif ve dayanıklı oldukları için manipülatör olarak endüstriyel
yapılarda yaygın olarak kullanılmaktadır. Bu çalışmada, [0/90] oryantasyona
sahip ankastre kompozit bir kirişin titreşim analizi çalışılmıştır. Yapının
ucuna kütle eklenmiştir. Başlangıç koşulu olarak deplasman uç noktaya
uygulanmış ve deneysel sistemin serbest titreşimi elde edilmiştir.
Eksponansiyel sönüm bulunmuştur. Titreşim sinyalinin Hızlı Fourier dönüşümü
kullanılarak doğal frekanslar hesaplanmıştır. Sistem ANSYS programında analiz
edilmiş ve simülasyon sonuçları elde edilmiştir. Sönüm katsayısı, deneyden elde
edilen eksponansiyel sönümden yararlanılarak hesaplanmıştır. Deneysel ya da
simülasyondan elde edilen statik çökme, doğal frekans ve eksponansiyel sönüm
kullanılarak sistemin eşdeğer kütle-yay-sönüm elemanı oluşturulmuştur. Eşdeğer
kütle-yay-sönüm elemanı sonuçları Laplace dönüşüm metodu ile elde edilmiştir.
Deneysel, simülasyon ve analitik sonuçlar uç noktanın farklı başlangıç yer
değiştirme değerleri için karşılaştırılmıştır. Sonuçların uyumluluğu
gözlemlenmiştir.

Anahtar Kelimeler

Kompozit kiriş, Titreşim analizi, Eşdeğer sistem, ANSYS

Kaynakça

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