A novel universal analytical model of flexure spring for linear oscillating motor

Flexure springs are representatives of leaf springs with both compact structure and bi-directional stiffness, which have been widely used in linear resonant systems. However, its design is complicated, involving multi-parameters optimization and analysis, which lacks of effective and accurate analytical methods. In this paper, a universal analytical model of flexure springs is proposed suitable for design and optimization of any geometry flexure springs. Firstly, a typical shape of flexure spring is put forward for clarifying of this model. Then, both radial and axial stiffness are modeled analytically in details using this universal method based on strain energy principle. For validation, FEM results are obtained in ANSYS, which prove the effectiveness and accuracy of this proposed method. Thus, it can be served as the guide for flexure spring design and optimization conveniently and accurately.