대한기계학회논문집 (Transactions of the Korean Society of Mechanical Engineers)
- 제7권1호
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- Pages.11-18
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- 1983
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- 1225-5963(pISSN)
DOI QR Code
兩점 境界値 問題設置 에 의한 非線型 强制振動 의 定常解
Steady-State Solution for Forced Nonlinear Vibrations by the Formulation of Two-Point Boundary-Value Problem
초록
For the steady-state solutions of vibratory systems where the dynamics involves nonlinearity and discontinuity, a method of numerical simulation has been normally used. This paper presents a new approach which may overcome some difficulties in the simulation method. This approach is based on the fundamental assumption that the steady-state forced vibration is periodic, so that the problem is formulated as a two-point boundary-value problem and can be solved by Waner's algorithm. This method is demonstrated through the solutions of a linear system, a system with Coulomb friction and an impact pair. It is found that the method gives true solutions well both for linear and nonlinear systems, which convinces us of the usefulness of the method.
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