This research introduces a new, numerical and experimental approach to the analysis of the vibration of laminated structures resulting from magnetostriction. The focus is on the in-plane magnetostriction of electrical steel and its transmission into the out of plane direction, in which laminated structures (e.g., transformer cores, stators, and rotors) exhibit the greatest vibration. A finite-element magnetostriction model is developed on an experimental basis and enables a general, in-plane and out-of-plane assessment of the magnetostrictive response. The magnetostriction model is compatible with various finite-element structural models and is incorporated into a structural model, updated based on experimental data, representing a clamped laminated structure. An experiment employing the operating-deflection-shapes method is used to assess the presented approach under various operating conditions.