A nonlinear spring is a mechanism that exhibits displacement or rotation upon subjected force or torque that follows a nonlinear load and displacement or torque and angular function. A bent up or progressive nonlinear spring usually undergoes large deflections upon forces, and the spring rate increases nonlinearly as displacement or rotation goes on. Large nonlinear deflection is obtained through manipulating the shape and size of a spring. Wide curves are used in this thesis to define the shape and size of nonlinear springs. Nonlinear load and displacement functions were met by manipulating the geometry of wide curve structures of springs. In this thesis, the nonlinear load and displacement relationship of a spring was analyzed using the finite element analysis (FEA) software ANSYS and so was the stress within the spring. The structure of a nonlinear spring was defined by a set of wide curves. Any wide curve was fully described by its control parameters. For a desired nonlinear force-displacement function, the structure of spring was optimized by the MATLAB optimization toolbox to minimize the difference between the actual generated force-displacement function of the spring and the desired function. A set of wide curves define the structural geometry by smoothly connecting different cross-sectional areas with spline control parameters.
January 12, 2017
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