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Journals / Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi / 2017 / Cilt: 23 Sayı: 1

Free vibrations analysis of fluid conveying nanobeam based on nonlocal elasticity theory

Yerel olmayan elastisite teorisine göre akışkan taşıyan nanokirişin serbest titreşimlerinin analizi

Süleyman Murat Bağdatlı
Necla Toğun
Pages
6–11
Publication Date
2017-03-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Sonuçlar grafiklerle sunulmuş ve yorumlanmıştır.

📌 3 Key Takeaways

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Objective & Hypothesis:v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} Normal 0 false false false TR X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Normal Tablo"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri",sans-serif; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi; mso-ansi-language:TR;} Bu çalışmada, basit-basit ve ankastre-ankastre sınır şartları altında akışkan taşıyan nanokirişin doğrusal titreşimleri incelenmiştir.
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Key Findings & Data:Doğrusal problemin çözümü ile tabii frekanslar ve mod yapıları farklı sınır şartları için hesaplanmıştır.
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Conclusion & Impact:Sonuçlar grafiklerle sunulmuş ve yorumlanmıştır.
🔬Design:Survey & Empirical Study
📍Scope:Comprehensive Sample
⚙️Variables:Titreşim · Akışkan taşıyan nano ölçekli kiriş · Perturbasyon metodu

Özet

v\:* {behavior:url(#default#VML);} o\:* {behavior:url(#default#VML);} w\:* {behavior:url(#default#VML);} .shape {behavior:url(#default#VML);} Normal 0 false false false TR X-NONE X-NONE /* Style Definitions */ table.MsoNormalTable {mso-style-name:"Normal Tablo"; mso-tstyle-rowband-size:0; mso-tstyle-colband-size:0; mso-style-noshow:yes; mso-style-priority:99; mso-style-parent:""; mso-padding-alt:0cm 5.4pt 0cm 5.4pt; mso-para-margin-top:0cm; mso-para-margin-right:0cm; mso-para-margin-bottom:10.0pt; mso-para-margin-left:0cm; line-height:115%; mso-pagination:widow-orphan; font-size:11.0pt; font-family:"Calibri",sans-serif; mso-ascii-font-family:Calibri; mso-ascii-theme-font:minor-latin; mso-hansi-font-family:Calibri; mso-hansi-theme-font:minor-latin; mso-bidi-font-family:"Times New Roman"; mso-bidi-theme-font:minor-bidi; mso-ansi-language:TR;} Bu çalışmada, basit-basit ve ankastre-ankastre sınır şartları altında akışkan taşıyan nanokirişin doğrusal titreşimleri incelenmiştir. Eringen’in yerel olmayan elastisite teorisi Euler-Bernoulli kiriş modeline uygulanmıştır. Yerel olmayan elastisite teorisi MEMS ve NEMS yapıların mekaniksel analizinde gelişen popüler bir tekniktir. Hareket denklemlerini ve sınır şartlarını elde etmek için Hamilton prensibi kullanılmıştır. Denklemler boyutsuz formda elde edilmiştir. Elde edilen hareket denklemi ve sınır şartları malzeme ve geometrik yapıdan bağımsız hale getirilmiştir. Akışkan hızının, ortalama sabit bir hız etrafında harmonik olarak değiştiği kabul edilmiştir. Perturbasyon metotlarından biri olan çok zaman ölçekli metot kullanılarak yaklaşık çözümler elde edilmiştir. Perturbasyon serisindeki ilk terim doğrusal problemi oluşturmaktadır. Doğrusal problemin çözümü ile tabii frekanslar ve mod yapıları farklı sınır şartları için hesaplanmıştır. Her iki mesnet durumu için yerel olmayan parametre   ve akışkan hızı   artığında tabii frekanslar azalmaktadır. Sonuçlar grafiklerle sunulmuş ve yorumlanmıştır.

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Cite This Article

Bağdatlı, S. M., Toğun, N. (2017). Free vibrations analysis of fluid conveying nanobeam based on nonlocal elasticity theory. Pamukkale Üniversitesi Mühendislik Bilimleri Dergisi, Cilt: 23 Sayı: 1, 6–11. https://ajindex.com/articles/1058970

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