KaydedilenlerDerginizi ekleyin

Dergiler / Challenge Journal of Structural Mechanics / 2018 / Cilt: 4 - Sayı: 1

Forced vibration analysis of Mindlin plates resting on Winkler foundation

Yaprak I. ÖZDEMİR
Sayfa
18–26
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

It is also concluded that, in general, the changes in the thickness/span ratio are more effective on the maximum responses considered in this study than the changes in the aspect ratio.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The purpose of this paper is to study shear locking-free parametric earthquake anal-ysis of thick and thin plates resting on Winkler foundation using Mindlin’s theory, to determine the effects of the thickness/span ratio, the aspect ratio and the boundary conditions on the linear responses of thick and thin plates subjected to earthquake excitations.
📊
Temel Bulgular & Veri:In the analysis, 8-noded finite element is used.
💡
Sonuç & Katkı:It is also concluded that, in general, the changes in the thickness/span ratio are more effective on the maximum responses considered in this study than the changes in the aspect ratio.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Özet

The purpose of this paper is to study shear locking-free parametric earthquake anal-ysis of thick and thin plates resting on Winkler foundation using Mindlin’s theory, to determine the effects of the thickness/span ratio, the aspect ratio and the boundary conditions on the linear responses of thick and thin plates subjected to earthquake excitations. In the analysis, finite element method is used for spatial integration and the Newmark-β method is used for the time integration. Finite element formulation of the equations of the thick plate theory is derived by using higher order displace-ment shape functions. A computer program using finite element method is coded in C++ to analyze the plates clamped or simply supported along all four edges. In the analysis, 8-noded finite element is used. Graphs are presented that should help engi-neers in the design of thick plates subjected to earthquake excitations. It is concluded that 8-noded finite element can be effectively used in the earthquake analysis of thick plates. It is also concluded that, in general, the changes in the thickness/span ratio are more effective on the maximum responses considered in this study than the changes in the aspect ratio.

🔖

Bu Makaleye Atıf Yap

ÖZDEMİR, Y. I. (2018). Forced vibration analysis of Mindlin plates resting on Winkler foundation. Challenge Journal of Structural Mechanics, Cilt: 4 - Sayı: 1, 18–26. https://ajindex.com/articles/143871

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (13)

  1. Ayvaz Y, Daloğlu A, Doğangün A (1998). Application of a modified Vlasov model to earthquake analysis of the plates resting on elastic foundations. Journal of Sound & Vibration, 212(3), 499-509.
  2. Ayvaz Y, Oguzhan CB (2008). Free vibration analysis of plates resting on elastic foundations using modified Vlasov model. Structural En-gineering & Mechanics, 28(6), 635-658.
  3. Bathe KJ (1996). Finite Element Procedures. Prentice Hall, Upper Sad-dle River, New Jersey. Benferhat R, Daouadji TH, Mansour MS, Hadji L (2016). Effect of poros-ity on the bending and free vibration response of functionally graded plates resting on Winkler-Pasternak foundations. Earth-quakes & Structures, 10(6), 1429-1449.
  4. Cook RD, Malkus, DS, Michael EP (1989). Concepts and Applications of Finite Element Analysis. John Wiley & Sons, Inc., Canada. Grice RM, Pinnington RJ (2002). Analysis of the flexural vibration of a thin-plate box using a combination of finite element analysis and an-alytical impedances. Journal of Sound & Vibration, 249(3), 499-527.
  5. Hetenyi M (1950). A general solution for the bending of beams on an elastic foundation of arbitrary continuity. Journal of Applied. Physics, 21, 55-58.
  6. Kutlu A, Uğurlu B, Omurtag MH (2012). Dynamic response of Mindlin plates resting on arbitrarily orthotropic Pasternak foundation and partially in contact with fluid. Ocean Engineering, 42, 112-125.
  7. Leissa AW (1973). The free vibration of rectangular plates. Journal of Sound & Vibration, 31(3), 257-294.
  8. Lok TS, Cheng QH (2001). Free and forced vibration of simply supported, orthotropic sandwich panel. Computers & Structures, 79(3), 301-312.
  9. Mindlin RD (1951). Influence of rotatory inertia and shear on flexural motions of isotropic, elastic plates. Journal of Applied Mechanics, 18, 31-38.
  10. Omurtag MH, Kadıoğlu F (1998). Free vibration analysis of orthotropic plates resting on Pasternak foundation by mixed finite element for-mulation. Computers & Structures, 67, 253-265.
  11. Özdemir YI (2007). Parametric Analysis of Thick Plates Subjected to Earthquake Excitations by Using Mindlin’s Theory. Ph.D. thesis, Ka-radeniz Technical University, Trabzon. Özdemir YI (2012). Development of a higher order finite element on a Winkler foundation. Finite Element. Analysis and Design, 48, 1400-1408.
  12. Özdemir YI, Bekiroğlu S, Ayvaz Y (2007). Shear locking-free analysis of thick plates using Mindlin’s theory. Structural Engineering & Me-chanics, 27(3), 311-331.
  13. Özgan K, Daloglu AT (2012). Free vibration analysis of thick p