The extraction of experimental wavenumbers through wavenumber identification methods holds a pivotal role in addressing realistic material identification. The robustness of wavenumber identification methods under practical conditions significantly influences the accuracy of estimated material properties. Thus, this study aims to propose two identification procedures, integrating two wave-based structural identification methods with the Algebraic Wavenumber Identification (AWI) technique, to precisely estimate the equivalent static and dynamic properties of honeycomb sandwich structures, respectively. The AWI method can identify reliable wavenumbers using structural response, serving as input for wave-based linear-and nonlinear-structural identification methods. Moreover, a novel frequency-dependent stepwise estimation strategy is proposed to significantly improve the estimation accuracy. This paper presents an application of the proposed identification procedures on material properties estimation of a real honeycomb sandwich beam.