Electrical coupled model for two coils vibrating wire transducer

The vibrating wire transducer represents, basically, a damped oscillating resonant circuit tuned on the vibrating wire mechanical resonant frequency and measure the majority of the physical input parameters (forces, strains etc.) in hydro-technical buildings. In order to implement an automatic data acquisition system for dams monitoring, which measures the output signal frequency of those transducers, exists the necessity of a theoretical electrical model that simulates a real transducers. Setting the equivalent electrical circuit supposes, in the first time, to determine the electrical model for the vibrating wire itself. The theoretical and experimental researches performed demonstrate that between the coils and the vibrating wire exists a mutually coupling that defines the whole transducer behaviour, which will be equivalent with a very high frequency-selective oscillator circuit. The equivalent electrical circuit was determined by the analogy between the electrical and mechanical behaviour. A comparison study was made for the one-dimension mechanical oscillations produced inside the vibrating wire and for the electrical oscillations in a RLC serial circuit.