ELASTİK ZEMİN ve MANYETİK ALAN ETKİSİ ALTINDAKİ KADEMELİ KİRİŞİN DOĞRUSAL TİTREŞİM ANALİZİ

Abstract

Teknolojideki gelişmelerle birlikte farklı kiriş türlerine olan gereksinim artmaktadır. Yaygın olarak kullanılan farklı kiriş türlerinden bir tanesi de kademeli kirişlerdir. Sunulan bu çalışmada önemli yapısal elemanlardan birisi olan kirişin kademeli olması durumu ele alınmıştır. Kademe sayısı olarak tek kademeli durum dikkate alınmış olup kademe oranı ve konumu irdelenmiştir. Çalışmanın temel motivasyon kaynağı kademeli kirişin elastik zemin üzerinde olması ve manyetik alana maruz kalmasıdır. Kademeli kiriş üzerine doğrusal elastik zemin katsayının ve manyetik alan kuvvetinin etkilerini içeren kapsamlı bir çalışma yürütülmüştür. Farklı mesnet durumları da incelenerek çalışmanın zenginliği arttırılmıştır. Belirtilen değişken parametrelerin doğal frekanslar üzerine etkileri üç boyutlu grafikler halinde sunulmuştur. Manyetik alan ve elastik zemin etkisinin doğal frekanslar üzerine önemli bir etkiye sahip olduğu görülmüştür. Kademe oranı ve konumunun etkisi serbest serbest sınır şartlarında en etkili olmasına karşın manyetik alan ve elastik zemin etkisi ankastre serbest sınır şartına sahip durumda daha belirgin olmaktadır.

Keywords

• Elastik Zemin
• Kademeli Kiriş
• Manyetik Alan
• Pertürbasyon Tekniği
• Sürekli Ortam Mekaniği

LINEAR VIBRATION ANALYSIS OF STEPPED BEAM UNDER THE EFFECT OF ELASTIC FOUNDATION AND MAGNETIC FIELD

Abstract

The necessity of different beam types is increasing with the advances in technology. One of the different types of beams commonly used is stepped beams. In this context, the presented study deals with the stepped beam, which is one of the essential structural elements. The one-stage situation was taken into account and the stage ratio and position were examined. The main source of motivation for the study is that the stepped beam is on the elastic ground and exposed to a magnetic field. A comprehensive study was carried out on the effects of linear elastic foundation coefficient and magnetic field on the stepped beam. The richness of the study has been increased by examining different support situations. The effects of the specified variable parameters on natural frequencies are presented in three-dimensional graphics. It has been observed that the magnetic field and elastic ground effect have a significant effect on natural frequencies. Although the effect of step ratio and position is most effective in the free-free boundary conditions, the magnetic field and elastic ground effect are more explicit in the case of fixed-free boundary conditions.

Keywords

• Continuum Mechanics
• Elastic Foundation
• Magnetic Field
• Perturbation Technique
• Stepped Beam

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