Yıl 2019, Cilt 24 , Sayı 2, Sayfalar 725 - 734 2019-08-30

Harmonik Yüklemeye Maruz Kalan 3-Katlı Kayma Çerçevesinin Dinamik Tepki Analizi: Analitik Bir Yaklaşım
DYNAMIC RESPONSE ANALYSIS OF A 3-STORY SHEAR FRAME SUBJECTED TO HARMONIC LOADING: AN ANALYTICAL APPROACH

Ahmet Tüken [1]


Çok katlı binaların çeşitli tiplerde dinamik yüklemelere maruz kalması muhtemeldir. Bu çalışmada, en üst katta harmonik bir kuvvete maruz kalan üç katlı bir kayma çerçevesi çalışılmış ve zamanın fonksiyonu olarak kat yer değiştirmeleri için denklemler elde edilmiştir. Daha sonra uygulanan harmonik yükleme altındaki normalleştirilmiş tepki büyüklükleri, frekans oranı ω/ω1'e karşı çizilmiştir. Bu frekans-tepki eğrileri, ω=ω1, ω=ω2 ve ω=ω3 değerlerinde üç rezonans durumu gösterir; bu uyarıcı frekanslarda durağan-durum tepkisi sınırsızdır. Diğer uyarıcı frekanslarda, titreşim sonludur ve türetilmiş denklemlerden hesaplanabilir. Yapı bir dizi frekans üzerinden harmonik yükleme ile uyarıldığında, bazı frekanslarda rezonans yaşar. Rezonans frekansı yapının doğal frekansına eşit olduğunda rezonans oluşur. Rezonans frekansında, yapı diğer herhangi bir yükleme frekansına kıyasla en büyük tepkisini tecrübe eder.

The multi-story buildings are likely to be subjected to various types of dynamic loadings. In the present study, a three-story shear frame subjected to a harmonic force at the top floor is studied and the equations for the floor displacements as functions of time have been obtained. Then normalized response amplitudes under the applied harmonic loading is plotted against the frequency ratio w/w1. These frequency-response curves show three resonance conditions at w=w1, w=w2 and w=w3; at these exciting frequencies the steady-state response is unbounded. At other exciting frequencies, the vibration is finite and could be calculated from the derived equations. The structure experiences resonance at some frequency if the structure is excited with harmonic loading over a range of frequencies. When the frequency of the excitation is equal to the natural frequency of the structure, resonance occurs. The structure experiences its largest response at the resonant frequency as compared to any other frequency of loading. 

  • Abbas A.L., Abbas J.M. and Jawad S.I. (2017) Analysis of Gas Turbine Foundation under Harmonic Loading with and Without Consideration of Soil –Structure Interaction Effect, International Journal of Applied Engineering Research, 12(19), 8063-8070.
  • Baig S.S., Mogali M. and Hampali M.P. (2014) Harmonic Response Analysis of Multi-Storey Building, International Journal of Current Engineering and Technology, 4(4), 2387-2391.
  • Chopra A.K. (2014) Dynamics of Structures, 4th Global Edition, Pearson, Prentice Hall.
  • Elhelloty A. (2017) Effect of Lateral Loads Resisting Systems on Response of Buildings Subjected to Dynamic Loads, International Journal of Engineering Inventions, 6(10), 62-76.
  • Patel P.D., Dhameliya H.K. and Patel K.S. (2017) A Review on Dynamic Analysis of Building under Blast and Seismic Loading, International Journal of Advance Engineering and Research Development, 4(11), 429-434.
  • Tuken A. (2018) Analytical Formulation and Response Analysis of a 3 Story Shear Frame subjected to Impulsive Loading, MAT Journals, Journal of Civil and Construction Engineering (e-ISSN: 2457-001X), 4(2).
Birincil Dil en
Konular Mühendislik
Bölüm Araştırma Makaleleri
Yazarlar

Yazar: Ahmet Tüken (Sorumlu Yazar)
Ülke: Turkey


Tarihler

Başvuru Tarihi : 31 Temmuz 2018
Kabul Tarihi : 10 Temmuz 2019
Yayımlanma Tarihi : 30 Ağustos 2019

Bibtex @araştırma makalesi { uumfd449686, journal = {Uludağ University Journal of The Faculty of Engineering}, issn = {2148-4147}, eissn = {2148-4155}, address = {}, publisher = {Bursa Uludağ Üniversitesi}, year = {2019}, volume = {24}, pages = {725 - 734}, doi = {10.17482/uumfd.449686}, title = {DYNAMIC RESPONSE ANALYSIS OF A 3-STORY SHEAR FRAME SUBJECTED TO HARMONIC LOADING: AN ANALYTICAL APPROACH}, key = {cite}, author = {Tüken, Ahmet} }
APA Tüken, A . (2019). DYNAMIC RESPONSE ANALYSIS OF A 3-STORY SHEAR FRAME SUBJECTED TO HARMONIC LOADING: AN ANALYTICAL APPROACH. Uludağ University Journal of The Faculty of Engineering , 24 (2) , 725-734 . DOI: 10.17482/uumfd.449686
MLA Tüken, A . "DYNAMIC RESPONSE ANALYSIS OF A 3-STORY SHEAR FRAME SUBJECTED TO HARMONIC LOADING: AN ANALYTICAL APPROACH". Uludağ University Journal of The Faculty of Engineering 24 (2019 ): 725-734 <https://dergipark.org.tr/tr/pub/uumfd/issue/45830/449686>
Chicago Tüken, A . "DYNAMIC RESPONSE ANALYSIS OF A 3-STORY SHEAR FRAME SUBJECTED TO HARMONIC LOADING: AN ANALYTICAL APPROACH". Uludağ University Journal of The Faculty of Engineering 24 (2019 ): 725-734
RIS TY - JOUR T1 - DYNAMIC RESPONSE ANALYSIS OF A 3-STORY SHEAR FRAME SUBJECTED TO HARMONIC LOADING: AN ANALYTICAL APPROACH AU - Ahmet Tüken Y1 - 2019 PY - 2019 N1 - doi: 10.17482/uumfd.449686 DO - 10.17482/uumfd.449686 T2 - Uludağ University Journal of The Faculty of Engineering JF - Journal JO - JOR SP - 725 EP - 734 VL - 24 IS - 2 SN - 2148-4147-2148-4155 M3 - doi: 10.17482/uumfd.449686 UR - https://doi.org/10.17482/uumfd.449686 Y2 - 2019 ER -
EndNote %0 Uludağ University Journal of The Faculty of Engineering DYNAMIC RESPONSE ANALYSIS OF A 3-STORY SHEAR FRAME SUBJECTED TO HARMONIC LOADING: AN ANALYTICAL APPROACH %A Ahmet Tüken %T DYNAMIC RESPONSE ANALYSIS OF A 3-STORY SHEAR FRAME SUBJECTED TO HARMONIC LOADING: AN ANALYTICAL APPROACH %D 2019 %J Uludağ University Journal of The Faculty of Engineering %P 2148-4147-2148-4155 %V 24 %N 2 %R doi: 10.17482/uumfd.449686 %U 10.17482/uumfd.449686
ISNAD Tüken, Ahmet . "DYNAMIC RESPONSE ANALYSIS OF A 3-STORY SHEAR FRAME SUBJECTED TO HARMONIC LOADING: AN ANALYTICAL APPROACH". Uludağ University Journal of The Faculty of Engineering 24 / 2 (Ağustos 2019): 725-734 . https://doi.org/10.17482/uumfd.449686
AMA Tüken A . DYNAMIC RESPONSE ANALYSIS OF A 3-STORY SHEAR FRAME SUBJECTED TO HARMONIC LOADING: AN ANALYTICAL APPROACH. JFE. 2019; 24(2): 725-734.
Vancouver Tüken A . DYNAMIC RESPONSE ANALYSIS OF A 3-STORY SHEAR FRAME SUBJECTED TO HARMONIC LOADING: AN ANALYTICAL APPROACH. Uludağ University Journal of The Faculty of Engineering. 2019; 24(2): 734-725.