Purpose <p>The primary objective of this study is to predict the dynamic interaction between crossed-bilayer charge-carrying nanowires in the presence of surface energy effects.</p> Methods <p>To achieve this, the charge transport within the crossed nanowires is modeled using a vector of electric current (EC), with nanowire deflections considered as the main influencing factor. The magnetic field induction on the crossed nanowires is calculated using the Biot-Savart-Laplace law, and the resulting mutual electromagnetic forces are derived via the Lorentz magnetic force law. The equations of motion are formulated based on surface elasticity theory and Timoshenko beam theory. After applying the Galerkin method to discretize the governing equations, the assumed mode method is utilized to solve the eigenvalue problem. The natural frequencies of the crossed current-carrying nanowires are obtained for various parameters, along with a corresponding parametric study to determine the roles of the intersection angle, EC intensity, surface effects, and geometric properties on the vibrational behavior of the system.</p> Results <p>Results indicate that fundamental frequencies increase with larger intersection angles, particularly at greater interwire spacings. Additionally, lower fundamental frequencies are observed when the intersection point is at the nanowire midpoint compared to other locations.</p> Conclusions <p>The proposed method effectively predicts the influence of geometrical parameters on the free vibration of crossed current-carrying nanowires. Additionally, the results highlight the critical role of intersection angles in the mechanical behavior of the nanosystem.</p>