Session 4: Force Voltage and Force Current Analogy of Transnational System

The force-voltage and force-current analogy are widely used techniques in the modeling of transnational mechanical systems, allowing mechanical systems to be analyzed using electrical system principles. In the force-voltage analogy (also called the "impedance analogy"), force is analogous to voltage, velocity to current, and mechanical elements like mass, damping, and stiffness correspond to electrical inductance, resistance, and capacitance, respectively. Similarly, in the force-current analogy (or "mobility analogy"), force is analogous to current, velocity to voltage, and mechanical properties map inversely to electrical components. For instance, mass corresponds to capacitance, damping to resistance, and stiffness to inductance. These analogies simplify the modeling of complex transnational mechanical systems by enabling engineers to use established electrical circuit analysis methods, like Kirchhoff's laws, to represent and analyze mechanical systems involving mass, damping, and elasticity across different regions. This approach is particularly useful in large-scale systems like global transportation networks, supply chains, and energy systems, where different domains and interactions must be harmonized.