关于对模态概念的理解

ON THE CONCEPT OF MODES

  • 摘要: 通过分析模态的性质并与复模态和非线性模态比较以加强对模态概念的理解。固有模态的基本性质是模态振动的同频性、对初始条件的不变性、模态的正交性和系统响应的叠加性。复模态仍具有模态振动的同频性,但没有对初始条件的不变性,正交性和叠加性仅在状态空间中成立。非线性模态仅保留了同频性或不变性,不具有正交性和叠加性。

     

    Abstract: In order to better understand the concept of modes, the characteristics of modes are analyzed and compared with those of complex modes or nonlinear modes. The connotation of a mode includes the synchronicity of the modal vibrations, the invariance to the initial conditions, the orthogonality among modes, and the superposition of the modal vibrations into the response. A complex mode concerns with the synchronicity but not the invariance, while the orthogonality and the superposition hold only in the state space. A nonlinear mode concerns both with the synchronicity and the invariance, but not the orthogonality nor the superposition.

     

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