ダフィング族スナップスルースプリング系自由振動の厳密解とその数値化プログラム : 第1報,対称両振りモード

概要

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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. However, their precise numeration is rather difficult using the constant-digit computer. In our previous papers, the algorithm and program for the precise numerical computation of the exact solution for hard as well as soft spring systems were proposed. As a continuation of the previous studies, we investigate here the snap-through spring system. This system has two kinds of solutions which are referred to as the "symmetrical full-swing mode" and the "asymmetrical half-swing mode". The present paper discusses excellent algorithms/programs for the symmetrical full-swing mode. 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 10^<-30>. Numerical results of the dynamics of the present free oscillator are also discussed and demonstrated.
1995-03-25