Abstract
Exact solutions of the free vibration in a family of Duffing oscillators having hard, soft or snap-through springs with single-degree-of-freedom are solved in terms of the Jacobian elliptic functions. In our previous papers, the algorithms and programs for the precise numerical computation of the exact solution of the free vibration with hard, soft and snap-through (symmetrical full-swing mode)spring systems were successively proposed. As a continuation of the previous studies, we here deal with the snap-through spring system in the asymmetrical half-swing mode and discuss excellent algorithms/programs to calculate the exact solution. The FORTRAN program with the precision of REAL*16 is presented accompanied by the user's manual, which ensures a relative error of less than l0-30. Numerical results of the dynamics of the present free oscillator are also discussed and demonstrated.
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