A behavioural model of resonant cantilevers for chemical sensing
We present a model for the behavioural description of resonant cantilevers for chemical sensing. This model is well suited to be implemented in an analog behavioural description language like Verilog-A to enable simulations of the cantilever devices together with integrated electronic circuits. The model is based on the assumption that the resonant cantilever can be described as a plate, with three free and one clamped end; we suppose the damping force acting on the structure is due to air friction and to the viscoelastic behaviour of the polymer used as sensitive layer. We have validated the model by modal FEM analysis (ANSYS (TM)) and by measurements with a dynamic signal analyzer (DSA). Simulations with the Spectre (TM) circuit simulator, including the cantilever device and integrated feedback electronics, have been carried out and show good agreement with the measured transient behaviour of the cantilever devices.
modelling resonant cantilever simulation chemical sensors equivalent circuit