<p>In this study, we investigate the free vibration characteristics and dynamic response of L-shaped, Z-shaped and T-shaped coupled nanoplate structures under general boundary conditions using the wave-based method. Utilizing Kirchhoff plate theory and Eringen’s nonlocal elasticity theory, we derive the differential equations governing in-plane and flexural wave motions. By enforcing continuity, coupling and boundary conditions, we establish the total matrix and final equations for the coupled nanoplate structures. Natural frequencies are computed through a root-finding algorithm that identifies the zero locations of the total matrix determinant. Subsequently, force resultants under external force conditions are determined, and the steady-state response of the coupled nanostructure is obtained. Additionally, several numerical examples, including comparative studies, are presented to perform a detailed parametric analysis of the free vibration characteristics and dynamic response of coupled nanoplate structures with general boundary conditions. These novel results provide a numerical foundation for the application of nanoplate structures in micro-/nano-electromechanical systems.</p>