In a method of estimating one of mechanical supporting states of a housing for an electronic apparatus, a drive signal is supplied to an oscillation device from which first oscillation is applied to the housing. A sensor detects a second oscillation transferred through the housing in response to the first oscillation to generate an oscillation signal, and a measurement response characteristic is obtained based on the drive signal and the oscillation signal, and is compared with reference response characteristics which are correlated with the mechanical supporting states, respectively, to estimate one of the mechanical supporting states of the housing.