A New Method of Determining Regions of Instability of a System with Parametric Excitations
スポンサーリンク
概要
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Vibrations of a system with periodically variable coefficients are treated and a new method of determining regions of instability is presented. A solution of such a system is introduced according to Lyapunov's theorem. Substituting the solution in the equation of motion, two kinds of characteristic equations are obtained. Eigenvalues of those kinds of characteristic equations are obtained. Eigenvalues of those equations are determined by approximating them by a characteristics equation with a finite order. All eigenvalues can be described by only two representative eigenvalues which are classified into three cases : (i) two imaginary numbers, (ii) one imaginary and one real and (iii) a pair of complex conjugate numbers. Cases (ii) and (iii) correspond to the unstable solutions.
- 一般社団法人日本機械学会の論文
著者
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Kotera Tadashi
Faculty Of Engineering Fnkui University
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Kotera Tadashi
Faculty Of Eng. Kobe University
関連論文
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- A New Method of Determining Regions of Instability of a System with Parametric Excitations
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