Multi-step diferansiyel transform metodu ile uç kütle eklentili kirişlerin serbest titreşim analizi

Year 2019, Volume: 34 Issue: 4, 1679 - 1694, 25.06.2019

Hilal Doğanay Katı Hakan Gökdağ

https://doi.org/10.17341/gazimmfd.571480

Cited By: 1

Abstract

Kiriş-uç
kütle sistemlerinin dinamik analizi robot kolları ve manipulatörler gibi
mekanik sistemlerin başarılı bir şekilde tasarlanması açısından oldukça
önemlidir. Literatürdeki birçok çalışmada bu sistemlerin serbest titreşimini
analitik olarak çözümlemek için az sayıda değişken kesitli kiriş modeli dikkate
alınmış, çoğunlukla sabit kesitli kiriş modeli kullanılmıştır. Ayrıca, uç
kütlenin noktasal olduğu, kiriş ve uç kütle koordinat merkezlerinin çakışık
olduğu kabul edilmiştir. Mevcut çalışmada burulmaya ve iki farklı düzlemde
eğilmeye maruz, kiriş ve uç kütle merkezlerinin çakışık olmadığı bir sistem ele
alınmış ve serbest titreşim analizi için yarı-nümerik yöntem olan Multi-Step
Diferansiyel Transform Metodu (MDTM) uygulanmıştır. Sistemin doğal frekansları
ve mod şekilleri iki farklı sınır şartı (sol ucun ankastre veya serbest olma
durumu) için elde edilmiştir. Ayrıca, kiriş uzunluğu, uç kütle boyutları, kesit
daralma oranı (taper ratio) gibi parametrelerin doğal frekanslar üzerindeki
etkisi incelenmiştir. Elde edilen sonuçların doğruluğu yaygın bir şekilde
kullanılan sonlu eleman yazılımı (ANSYS) ile karşılaştırılmış ve yeterince
uyumlu olduğu gözlenmiştir.

Keywords

DTM ve multi-step DTM, titreşim, Euler-Bernoulli kirişi, doğal frekanslar ve mod şekilleri, sonlu eleman yazılımı

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