Fonksiyonel Derecelendirilmiş Kirişlerin Serbest Titreşim Analizi

Yıl 2018, Cilt: 8 Sayı: 2, 119 - 130, 31.12.2018

Muhittin Turan Volkan Kahya

https://doi.org/10.31466/kfbd.453833

Cited By: 4

Öz

Bu çalışmada, birinci mertebe kayma deformasyonu teorisine dayalı olarak fonksiyonel derecelendirilmiş kirişlerin serbest titreşim analizi Navier tipi çözüm yöntemi kullanılarak yapılmıştır. Hareket denklemleri Lagrange eşitlikleri ile türetilmiş, problemin çözümünde ise trigonometrik fonksiyonlar kullanılmıştır. Farklı sınır şartlarına, hacimsel oran fonksiyonunun farklı k değerlerine ve kirişin açıklığının yüksekliğine oranına bağlı olarak doğal frekanslar sayısal olarak hesaplanmıştır. Sayısal sonuçlar literatürle kıyaslanmış ve oldukça uyumlu oldukları görülmüştür.

Anahtar Kelimeler

Fonksiyonel derecelendirilmiş malzeme, Navier metodu, Birinci mertebe kayma deformasyonu teorisi

Free Vibration Analysis of Functionally Graded Beams

Öz

In this study, the free vibration analysis of functionally graded (FG) beams is performed Navier type solution method according to the first-order shear deformation beam theory. The governing equations are derived from the Lagrange’s equations, and they are solved by using trigonometric series. Natural frequencies are calculated numerically for different boundary conditions, power-law indices and span-to-height ratios. Comparisons show in good agreement with the literature.

Anahtar Kelimeler

Functionally graded material, Navier method, Free vibration, First-order shear deformation theory

Kaynakça

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