Effects of Soil-structure Interaction on Free Vibrations of Industrial Chimneys via Dynamic Stiffness Formulations

In this study, free vibration analysis of an industrial chimney is investigated considering soil-structure interaction (SSI) using dynamic stiffness method (DSM). The chimney is modeled as a Timoshenko beam with constant cross-section. One rotational and one horizontal linear spring are used to model foundation flexibility for different soil conditions. The dynamic stiffness formulations are derived by using end forces and end displacements of chimney. Different soil shear modulus values are used to reveal their effects on free vibrations of chimneys considering SSI. The DSM results are tabulated with exact analytical solution results where a very good agreement is observed. Several mode shapes are plotted.

Keywords:

Chimney dynamic stiffness method, free vibration,

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Banerjee, J. R. 1997. Dynamic stiffness for structural elements: A general approach. Computers and Structures, 63, 101-103.
Banerjee, J. R. 2012. Free vibration of beams carrying spring-mass systems - A dynamic stiffness approach. Computers and Structures, 104-105, 21-26.
Bao-hui, L., Hang-shan, G., Hong-bo, Z., Yong-shou, L. & Zhou-feng, Y. 2011. Free vibration analysis of multi-span pipe conveying fluid with dynamic stiffness method. Nuclear Engineering and Design, 241, 666-671.
Bozyigit, B., Ozturkoglu, O. & Catal, S. 2015 Yarı Rijit Bağlı Betonarme Bacaların Serbest Titreşiminin Diferansiyel Transformasyon Metodu ile Analizi (Free Vibration Analysis of Semi-rigid Connected RC Chimneys using Differential Transform Method). XIX. National Mechanics Congress, Trabzon, Turkey.
Bozyigit, B. & Yesilce, Y. 2016. Dynamic stiffness approach and differential transformation for free vibration analysis of a moving Reddy-Bickford beam. Structural Engineering and Mechanics, 58(5), 847-868.
Cacciola, P., Espinosa, M. G. & Tombari, A. 2015. Vibration control of piled-structures through structure-soil-structure interaction. Soil Dynamics and Earthquake Engineering, 77, 47-57.
Chmielewski T., Górski P., Beirow B. & Kretzschmar J., 2005. Theoretical and experimental free vibrations of tall industrial chimney with flexibility soil. Engineering Structures, 27, 25-34.
Demirdağ, O. & Yeşilce, Y. 2011. Solution of free vibration equation of elastically supported Timoshenko columns with a tip mass by differential transform method. Advances in Engineering Software, 42(10), 860-867.
Doménech, A., Martinez-Rodrigo, M. D., Romero, A. & Galvin, P. 2016. On the basic phenomenon of soil-structure interaction on the free vibration response of beams: Application to railway bridges. Engineering Structures, 125, 254-265.
Górski P. 2015. Investigation of dynamic characteristic of tall indistrial chimney based on GPS measurements using random decrement method. Engineering Structures, 83, 30-49.
Güler K. 1998. Free vibrations and modes of chimneys on an elastic foundation. Journal of Sound an Vibration, 218(3), 541-547.
Ramezani, M. S., Ghanbari, A. & Hosseini, S. A. A. 2016. New mathematical model for computing natural frequencies of retaining walls considering soil-structure interaction. Applied Mathematical Modelling, 45, 179-191.
Seismic Analysis of safety-related nuclear structures and commentary (ASCE 4-98) 1998 American Society of Civil Engineers, USA.
Su, H. & Banerjee, J. R. 2015. Development of dynamic stiffness method for free vibration of functionally graded Timoshenko beams. Computers and Structures, 147, 107-116.
Trong, D. X. & Khiem, N. T. 2017. Modal Analysis of Tower Crane with Cracks by the Dynamic Stiffness Method. Topics in Modal Analysis&Testing, 10, 11-22.