Impedance Functions of Adjacent Strip Foundations

Terzi, Vasiliki G.

doi:10.7712/120117.5751.17302

Cited by 1 publication

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“…The present study refers to the dynamic cross interaction between two adjacent strip foundations that have different depths of embedment and is a step further to previous investigations concerning two adjacent surface or embedded foundations [39,40]. Difference in depth of embedment may appear in cases where there is a basement in one of the adjacent structures.…”

Section: Introductionmentioning

confidence: 78%

Impedance Functions of Adjacent Strip Foundations With Different Depths of Embedment

Terzi¹

2019

Proceedings of the 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering (COM

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The present study refers to the interaction between two adjacent strip foundations that have different depths of embedment. In particular, one foundation is characterized as deep and is embedded in an elastic isotropic soil layer which is resting on a rigid substratum, while the other foundation is characterized as surface and is resting on the soil layer's surface. The two foundations have an equal value of half-width, B and the embedment depth, D of the deep foundation is equal to B. The distance ratio S/L, where S is the distance between the foundations and L is the width of each foundation receives the values of 0.5,3,5 and 10. In order to investigate the effect of the soil layer's depth H, the distance ratio is kept constant and equal to 0.5 while the H/B ratio receives the values of 2, 4, 8 and 32. The main target is the calculation of the impedance matrix of the two interacting foundations and is achieved by the use of the finite element method. The accuracy of the finite element model is verified by comparison studies with the rigorous results from the boundary element method, concerning a single strip foundation, embedded or surface. Each strip foundation has three degrees of freedom; the vertical translation, the horizontal translation and the rotational one. Therefore, harmonic type of loading is applied at each foundation for each degree of freedom and the flexibility matrix is calculated for a normalized frequency range of 0.1<αο<2, where αο=ωB/Vs; ω is the loading frequency and Vs is the shear wave velocity. The final flexibility matrix is a 6x6 symmetric matrix, which consists of terms referring to the deep or surface foundation response and the coupled response between them. The flexibility functions are presented for typical values of S/L and H. The main conclusions are focused on the comparison between the response of each foundation which belongs to the system of the two and the response of a single foundation, deep or surface. Additional comments refer to the effect of the soil layer's depth on the coupling terms of the flexibility matrix of the two adjacent foundations.

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Section: Introductionmentioning

confidence: 78%