Calculation of Impedance Functions by Usage of Integral Transform Method
Abstract
In this paper the impedance functions of a stiff rectangular foundation laying on a half-space obtained with the help of the Integral Transform Method (ITM) are presented. ITM is an efficient method to calculate wave propagation in an elastic homogeneous or layered half-space. With the help of Helmholtz decomposition, Fourier Transform and Inverse Fourier Transform the wave equations can be easily solved. Using ITM method the dynamic stiffness of flexible foundation is determined first. Then, the impedance functions of the stiff foundation are obtained using kinematics transformation matrix. The obtained results are compared with impedance functions from the literature.
Keywords:
impedance / dynamic analysis / frequency domain / integral transform methodSource:
Građevinarstvo - Nauka i praksa, 2012, 305-312Funding / projects:
- Towards development of sustainable cities: influence of traffic induced vibrations on buildings and humans (RS-MESTD-Technological Development (TD or TR)-36046)
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Institution/Community
GraFarTY - CONF AU - Radišić, Marko PY - 2012 UR - https://grafar.grf.bg.ac.rs/handle/123456789/2137 AB - In this paper the impedance functions of a stiff rectangular foundation laying on a half-space obtained with the help of the Integral Transform Method (ITM) are presented. ITM is an efficient method to calculate wave propagation in an elastic homogeneous or layered half-space. With the help of Helmholtz decomposition, Fourier Transform and Inverse Fourier Transform the wave equations can be easily solved. Using ITM method the dynamic stiffness of flexible foundation is determined first. Then, the impedance functions of the stiff foundation are obtained using kinematics transformation matrix. The obtained results are compared with impedance functions from the literature. C3 - Građevinarstvo - Nauka i praksa T1 - Calculation of Impedance Functions by Usage of Integral Transform Method EP - 312 SP - 305 UR - https://hdl.handle.net/21.15107/rcub_grafar_2137 ER -
@conference{ author = "Radišić, Marko", year = "2012", abstract = "In this paper the impedance functions of a stiff rectangular foundation laying on a half-space obtained with the help of the Integral Transform Method (ITM) are presented. ITM is an efficient method to calculate wave propagation in an elastic homogeneous or layered half-space. With the help of Helmholtz decomposition, Fourier Transform and Inverse Fourier Transform the wave equations can be easily solved. Using ITM method the dynamic stiffness of flexible foundation is determined first. Then, the impedance functions of the stiff foundation are obtained using kinematics transformation matrix. The obtained results are compared with impedance functions from the literature.", journal = "Građevinarstvo - Nauka i praksa", title = "Calculation of Impedance Functions by Usage of Integral Transform Method", pages = "312-305", url = "https://hdl.handle.net/21.15107/rcub_grafar_2137" }
Radišić, M.. (2012). Calculation of Impedance Functions by Usage of Integral Transform Method. in Građevinarstvo - Nauka i praksa, 305-312. https://hdl.handle.net/21.15107/rcub_grafar_2137
Radišić M. Calculation of Impedance Functions by Usage of Integral Transform Method. in Građevinarstvo - Nauka i praksa. 2012;:305-312. https://hdl.handle.net/21.15107/rcub_grafar_2137 .
Radišić, Marko, "Calculation of Impedance Functions by Usage of Integral Transform Method" in Građevinarstvo - Nauka i praksa (2012):305-312, https://hdl.handle.net/21.15107/rcub_grafar_2137 .