A Numerical Method for Calculating the Nonlinear Elastic Characteristic of Longitudinal-Transverse Transducers

This paper presents a numerical method for studying the stress-strain state of longitudinal-transverse transducers and obtaining their nonlinear elastic characteristic. The authors propose a mathematical model that uses a direct numerical solution of the boundary value problem based on the plain curved rod equations in MATLAB. The stress-strain state and the nonlinear elastic characteristic of the system are obtained using a method of successive loading based on linearized equations of the curved rod. The proposed model can be considered as an initial approximation to the solution of the spatial problem of the longitudinal-torsional transducer.

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