The numerical solutions for dynamic impedance matrix of embedded rectangular rigid foundation are presented based on Scaled Boundary Finite-Element Method (SBFM). The results fit well at lower frequency band with the boundary element method solutions. As an engineering application, Dynamic response of a shaking table foundation is calculated in the frequency domain based on dynamic impedance matrix solutions obtained in this paper. According to Code for Design of Dynamic Machine Foundation in China, the frequency-independent mass-spring-damping model is employed to calculate dynamic machine foundation response. The dynamic impedance matrix represented by this kind of model is constant in the whole frequency band. Dynamic impedance coefficients of rigid foundation, however, are frequency-dependent. Analysis method presented in this paper improves the precision of dynamic foundation response in the frequency domain.
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