Differential-Algebraic Equations Governing Nonlinear Transducer Networks
A method has been developed by which differential-algebraic equations governing nonlinear transducer systems can be formed. The technique is particularly well suited for symbolic math engines, allowing a high degree of automation. Transducers are represented as networks of nonlinear elements; the equations formed are consistent with the nonlinear constitutive laws of the elements and the constraints implied by their networking. The governing equations can be solved using freely available software, although the solver must be provided with consistent initial conditions. This technique allows rapid formulation of the governing equations and simulation of prototype transducer designs.:
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