WINKLER ZEMİNİ ÜZERİNDEKİ ENİNE YÜKLEMEYE MARUZ TEMEL KİRİŞLERİNİN DİNAMİK ANALİZİ

Abstract

Bu çalışmada, elastik zemine oturan, enine kuvvet ve momentlere maruz bir kirişin dinamik analizi incelenmiştir. Temel modelinde Winkler hipotezi baz alınmıştır. Kiriş üzerindeki tekil etkiler, diferansiyel denklemi kullanabilmek amacıyla, Dirac dağılım teorisi vasıtasıyla yayılı yüklere dönüştürülmüştür. Çalışmanın kullanışını göstermek amacıyla açıklayıcı bir örnek sunulmuş ve bir kısım hesaplanan değerler tablolarda ve şekillerde verilmiştir.

Keywords

• Dinamik Analiz,Dirac Dağılım Teorisi,Enine Yükleme,Winkler Zemini

DYNAMIC ANALYSIS OF FOUNDATION BEAMS SUBJECTED TO TRANSVERSE LOADING ON WINKLER SOIL

Abstract

In this study, the dynamic analysis of a free beam subjected to transverse forces and moments on an elastic soil are investigated. The foundation model is based on the Winkler hypothesis. Concentrated disturbances on beams are transformed to distributed loads in order to be able to use the governing differential equation established for distributed loads by using Dirac distribution theory. An illustrative example is presented in order to demonstrate the use of the study and some of the obtained results are given in tables and figures.

Keywords

• Dirac Distribution Theory,Dynamic Analysis,Transverse Loading,Winkler Soil

References

1. [1] J. Arsac, Fourier transforms and the theory of distributions, Prentice-Hall, Inc., Englewood Cliffs, N.J., (1966).
2. [2] A.T. Daloglu and C.V.G. Vallabhan, Values of k for slab on Winkler foundation, Journal of Geotechnical and Geoenvironmental Engineering, ASCE, 126 (2000), 463-473.
3. [3] M.M. Filonenko-Borodich, Some approximate theories of elastic foundation (in Russian), Uchenyie Zapiski Moskovskogo Gosudarstvennogo Universitet, Mekhanika, 46 (1946), 3-18.
4. [4] M. Hetenyi, Beams on elastic foundation, The University of Michigan Press, (1946).
5. [5] A.D. Kerr, Elastic and visco-elastic foundations models, Journal of Applied Mechanics, ASME, 31 (1964), 491-498.
6. [6] P.L. Pasternak, On a new method of analysis of an elastic foundation by means of two foundations constants (in Russian), Gasudarstvennoe Izdatelstvo Literaturi po Stroitelstvui Arkhitekure, Moscow, (1954).
7. [7] K. Terzaghi, Theoretical soil mechanics, 14th ed., John Wiley & Sons, Inc., New York, (1966).
8. [8] V.Z. Vlasov and N. N. Leontiev, Beams, plates and shells on elastic foundations (in Russian), Fizmatgiz Publishers, Moscow, (1960).

9. [9] E. Winkler, Die Lehre von der Elastizität und Festigkeit, Prag., (1867).