The Effect of Porosity on the Free Vibrations of Functionally Graded Beams

Year 2024, Volume: 14 Issue: 3, 1275 - 1289, 15.09.2024

Muhittin Turan , Mahmut İlter Hacıoğlu , Erkan Balci

https://doi.org/10.31466/kfbd.1451491

Abstract

In this study, the effect of porosity on the free vibrations of functionally graded beams has been thoroughly examined using the ANSYS APDL package program. The influence of the pores formed in the structure during the production of beams made with functionally graded materials (FGM), whose material properties vary according to a function, on the behavior of the beam is a significant topic in the literature. Due to the complexity and length of solving such problems analytically and numerically, using the ANSYS APDL package program will save us time and effort. The variation of the beam's materials within the volume has been defined by a power-law. Depending on parameters such as various boundary conditions, power-law index, slenderness, porosity coefficient, and porosity distributions (FDM-1, FDM-2), dimensionless natural frequencies of porous FGM beams were obtained and compared with the literature.

Keywords

ANSYS APDL, Free vibration, Functionally graded beam, Porosity

Project Number

1919B012217533

Gözenekliliğin Fonksiyonel Derecelendirilmiş Kirişlerin Serbest Titreşimleri Üzerinde Etkisi

Abstract

Bu çalışmada, gözenekliliğin fonksiyonel derecelendirilmiş kirişlerin serbest titreşimleri üzerindeki etkisi, ANSYS APDL paket programı kullanılarak detaylı bir şekilde incelenmiştir. Malzeme özellikleri bir fonksiyona bağlı olarak değişen fonksiyonel derecelendirilmiş malzemelerle (FDM) yapılan kirişlerin üretimi sırasında yapısında oluşan gözeneklerin kirişin davranışına etkisi literatürde önemli bir konudur. Bu tip problemlerin analitik ve sayısal olarak çözümü uzun ve zahmetli olduğu için ANSYS APDL paket programının kullanılması zamandan ve harcanan emekten tasarruf etmemizi sağlayacaktır. Bir kuvvet kuralıyla kirişin malzemelerinin hacimdeki değişimi tanımlanmıştır. Çeşitli sınır koşulları, kuvvet kuralı indeksi, narinlik, gözeneklilik katsayısı ve gözeneklilik dağılımları (FDM-1, FDM-2) gibi parametrelere bağlı olarak gözenekli FDM kirişlerin boyutsuz doğal frekansları elde edilmiş ve literatürle kıyaslanmıştır.

Keywords

ANSYS APDL, Serbest titreşim, Fonksiyonel derecelendirilmiş kiriş, Gözeneklilik

Project Number

1919B012217533

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