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Structural Engineering and Mechanics Volume 69, Number 5, March10 2019 , pages 547-555 DOI: https://doi.org/10.12989/sem.2019.69.5.547 |
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Vibration analysis of concrete foundation armed by silica nanoparticles based on numerical methods |
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Mahdi Mahjoobi and Mahmood Rabani Bidgoli
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| Abstract | ||
| In this study, vibration analysis of a concrete foundation-reinforced by SiO2 nanoparticles resting on soil bed is investigated. The soil medium is simulated with spring constants. Furthermore, the Mori-Tanaka low is used for obtaining the material properties of nano-composite structure and considering agglomeration effects. Using third order shear deformation theory or Reddy theory, the total potential energy of system is calculated and by means of the Hamilton\'s principle, the coupled motion equations are obtained. Also, based an analytical method, the frequency of system is calculated. The effects of volume percent and agglomeration of SiO2 nanoparticles, soil medium and geometrical parameters of structure are shown on the frequency of system. Results show that with increasing the volume percent of SiO2 nanoparticles, the frequency of structure is increased. | ||
| Key Words | ||
| vibration of concrete foundation; agglomeration; SiO2 nanoparticles; soil medium; analytical method | ||
| Address | ||
| Mahdi Mahjoobi and Mahmood Rabani Bidgoli: Department of Civil Engineering, Islamic Azad University, Khomein Branch, Khomein, Iran | ||