Değişken Kesitli Kirişlerin Genel Sınır Şartları İçin Titreşim Analizi

Year 2021, Volume: 22 Issue: 2, 73 - 86, 31.12.2021

Vedat Taşkın İsmail Varserin Pınar Aydan Demirhan

Abstract

Bu çalışmada değişken kesitli izotropik kirişin serbest titreşimi incelenmiştir. Seçilen kiriş genişliği üstel olarak değişken olduğundan yönetici denklemler uzay koordinatlarında benzer kesit geometrileri için adi diferansiyel denklemler haline indirgenmiştir. Kiriş titreşimine ait analitik çözümler ankastre, basit mesnetli ve serbest uçlu olmak üzere bütün sınır koşulları için ayrı ayrı hesaplanmıştır. Mod şekilleri ve doğal frekanslar her bir sınır şartı için bulunmuştur. Sonuçlar kiriş kesitindeki değişimin mod şekillerini ve doğal frekansları etkilediğini göstermektedir. Titreşimin frekansı genişleyen kesitlerde artmakta daralan kesitlerde ise azalmaktadır.

Keywords

Kiriş, Titreşim, Değişken Kesit, Mod Şekilleri, Doğal Frekanslar

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