Year 2011,
Volume: 22 Issue: 107, 5341 - 5358, 01.12.2011
Korhan Özgan
Ayşe T. Daloğlu
References
- Selvaduari, A. P. S., Elastic Analysis of Soil-Foundation Interaction. Elsevier Scientific Publishing Company, Amsterdam, 1979.
- Briassoulis, F., On The Basics of The Shear Locking Problem of C0 Isoparametric Plate Elements. Computers & Structures, 33(1), 169-185, 1989.
- Crisfield, M. A., A Quadratic Mindlin Element Using Shear Constraints. Computers & Structures, 18(5), 833-852, 1984.
- Pugh, E. D. L., Hinton, E., Zienkiewicz, O. C., A Study of Quadrilateral Plate Bending Elements with Reduced Integration. International Journal for Numerical Methods in Engineering, 12(7), 1059-1079, 2005.
- Voyiadjis, G. Z., Kattan, P.I., Thick Rectangular Plates on an Elastic Foundation. Journal of Engineering Mechanics, 112(11), 1218-1240, 1986.
- Eratli, N., Aköz, A. Y., The Mixed Finite Element Formulation for the Thick Plates on Elastic Foundations. Computers&Structures, 65(4), 515-529, 1997.
- Yettram, A. L.,Whiteman, J. R., Effect of Thickness on The Behaviour of Plates on Foundation. Computers&Structures, 19(4), 501-509, 1984.
- Mishra, R. C., Chakrabarti, S. K., Shear and Attachment Effects on The Behaviour of Rectangular Plates Resting on Tensionless Elastic Foundation. Engineering Structures, 19(7), 551-567, 1997.
- Liu, F. L., Rectangular Thick Plates on Winkler Foundation: Differential Quadrature Element Solution. International Journal of Solids and Structures, 37, 1743-1763, 2000.
- Daloglu, A. T., Vallabhan, C. V. G., Values of k for Slab on Winkler Foundation. Journal of Getechnical and Geoenvironmental Engineering, 126(5), 463-471, 2000.
- Abdalla, J. A., Ibrahim, A. M., Development of a discrete Reissner-Mindlin Element on Winkler Foundation. Finite Elements in Analysis and Design, 42, 740-748, 2006.
- Wang, Y. H., Tham, L. G., Tsui, Y., Yue, Z. Q., Plate on Layered Foundation Analyzed by a Semi-analytical and Semi-numerical Method. Computers and Structures, 30, 409-418, 2003.
- Buczkowski, R., Torbacki, W., Finite Element Modeling of Thick Plates on Two- parameter Elastic Foundation. International Journal for Numerical and Analytical Methods in Geomechanics, 25, 1409-1427, 2001.
- Çelik, M., Saygun, A., A Method for The Analysis of Plates on a Two-parameter Foundation. International Journal of Solids and Structures; 36, 2891-2915, 1999.
- Chucheepsakul, S., Chinnaboon, B., An Alternative Domain/Boundary Element Technique for Analyzing Plates on Two-parameter Elastic Foundations. Engineering Analysis with Boundary Elements, 26, 547-555, 2002.
- Ozgan, K., Daloğlu, A.T., Alternative Plate Finite Elements for The Analysis of Thick Plates on Elastic Foundation. Structural Egineering and Mechanics, 26(1), 69-86, 2007.
- Bathe, K.J., Finite Element Procedures, Upper Saddle River, NJ: Prentice-Hall, 1996.
- Weaver, W, Johnston, P. R., Finite Elements for Structural Analysis, Englewood Cliffs, NJ: Prentice-Hall, Inc, 1984.
- Ozgan, K., Geliştirilmiş Vlasov Modelini Kullanarak Elastik Zemine Oturan Kalın Plakların Sonlu Elemanlar Yöntemiyle Analizi ve Etkin Zemin Derinliğinin Belirlenmesi, Doktora tezi, Karadeniz Teknik Üniversitesi, Trabzon, Türkiye, 2007.
- Turhan, A., A Consistent Vlasov Model for Analysis of Plates on Elastic Foundations Using the Finite Element Method, Ph. D. Thesis, The Graduate School of Texas Tech University, Lubbock, Texas, 1992.
ELASTİK ZEMİNE OTURAN KALIN PLAKLAR İÇİN KAYMA KİLİTLENMESİZ BİR SONLU ELEMAN MODELİ
Year 2011,
Volume: 22 Issue: 107, 5341 - 5358, 01.12.2011
Korhan Özgan
Ayşe T. Daloğlu
Abstract
Bu çalışmada, kalınlık doğrultusundaki kayma şekil değiştirmelerini dikkate alan 4 düğüm noktalı (PBQ4) ve 8 düğüm noktalı (PBQ8) Mindlin plak elemanlar kullanılarak elastik zemine oturan kalın plakların hesabı incelenmiştir. Küçük plak kalınlıklarında meydana gelen kayma kilitlenmesini önlemek amacıyla her iki tip elemanın plak rijitlik matrisleri tam integrasyon (Tİ) tekniğinin yanı sıra seçilerek azaltılmış integrasyon (SAİ) tekniği de kullanılarak elde edilmektedir. Çeşitli yükleme durumları ve sınır şartları dikkate alınarak çözümler yapılmakta ve elde edilen sonuçlar literatürden alınan bir örnekle karşılaştırılmaktadır. Çalışmanın sonunda PBQ4 ve PBQ8 elemanlarının kalınlık arttıkça iyi sonuçlar verdiği ancak kalınlık azaldıkça seçilerek azaltılmış integrasyon (SAİ) tekniği kullanılan elemanların daha güvenilir olduğu sonucuna ulaşılmaktadır
References
- Selvaduari, A. P. S., Elastic Analysis of Soil-Foundation Interaction. Elsevier Scientific Publishing Company, Amsterdam, 1979.
- Briassoulis, F., On The Basics of The Shear Locking Problem of C0 Isoparametric Plate Elements. Computers & Structures, 33(1), 169-185, 1989.
- Crisfield, M. A., A Quadratic Mindlin Element Using Shear Constraints. Computers & Structures, 18(5), 833-852, 1984.
- Pugh, E. D. L., Hinton, E., Zienkiewicz, O. C., A Study of Quadrilateral Plate Bending Elements with Reduced Integration. International Journal for Numerical Methods in Engineering, 12(7), 1059-1079, 2005.
- Voyiadjis, G. Z., Kattan, P.I., Thick Rectangular Plates on an Elastic Foundation. Journal of Engineering Mechanics, 112(11), 1218-1240, 1986.
- Eratli, N., Aköz, A. Y., The Mixed Finite Element Formulation for the Thick Plates on Elastic Foundations. Computers&Structures, 65(4), 515-529, 1997.
- Yettram, A. L.,Whiteman, J. R., Effect of Thickness on The Behaviour of Plates on Foundation. Computers&Structures, 19(4), 501-509, 1984.
- Mishra, R. C., Chakrabarti, S. K., Shear and Attachment Effects on The Behaviour of Rectangular Plates Resting on Tensionless Elastic Foundation. Engineering Structures, 19(7), 551-567, 1997.
- Liu, F. L., Rectangular Thick Plates on Winkler Foundation: Differential Quadrature Element Solution. International Journal of Solids and Structures, 37, 1743-1763, 2000.
- Daloglu, A. T., Vallabhan, C. V. G., Values of k for Slab on Winkler Foundation. Journal of Getechnical and Geoenvironmental Engineering, 126(5), 463-471, 2000.
- Abdalla, J. A., Ibrahim, A. M., Development of a discrete Reissner-Mindlin Element on Winkler Foundation. Finite Elements in Analysis and Design, 42, 740-748, 2006.
- Wang, Y. H., Tham, L. G., Tsui, Y., Yue, Z. Q., Plate on Layered Foundation Analyzed by a Semi-analytical and Semi-numerical Method. Computers and Structures, 30, 409-418, 2003.
- Buczkowski, R., Torbacki, W., Finite Element Modeling of Thick Plates on Two- parameter Elastic Foundation. International Journal for Numerical and Analytical Methods in Geomechanics, 25, 1409-1427, 2001.
- Çelik, M., Saygun, A., A Method for The Analysis of Plates on a Two-parameter Foundation. International Journal of Solids and Structures; 36, 2891-2915, 1999.
- Chucheepsakul, S., Chinnaboon, B., An Alternative Domain/Boundary Element Technique for Analyzing Plates on Two-parameter Elastic Foundations. Engineering Analysis with Boundary Elements, 26, 547-555, 2002.
- Ozgan, K., Daloğlu, A.T., Alternative Plate Finite Elements for The Analysis of Thick Plates on Elastic Foundation. Structural Egineering and Mechanics, 26(1), 69-86, 2007.
- Bathe, K.J., Finite Element Procedures, Upper Saddle River, NJ: Prentice-Hall, 1996.
- Weaver, W, Johnston, P. R., Finite Elements for Structural Analysis, Englewood Cliffs, NJ: Prentice-Hall, Inc, 1984.
- Ozgan, K., Geliştirilmiş Vlasov Modelini Kullanarak Elastik Zemine Oturan Kalın Plakların Sonlu Elemanlar Yöntemiyle Analizi ve Etkin Zemin Derinliğinin Belirlenmesi, Doktora tezi, Karadeniz Teknik Üniversitesi, Trabzon, Türkiye, 2007.
- Turhan, A., A Consistent Vlasov Model for Analysis of Plates on Elastic Foundations Using the Finite Element Method, Ph. D. Thesis, The Graduate School of Texas Tech University, Lubbock, Texas, 1992.