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- W2024028033 abstract "An approach is outlined that can be used to define and construct normal modes of motion for a wide class of nonlinear vibratory systems. Furthermore, an extension of these ideas is used to develop a mode-based model reduction method for multidegree-of-freedom nonlinear systems. The approach makes use of invariant manifolds in the system phase space, and it reduces to the well-known results In the linearized case. An explicit construction method for weakly nonlinear systems allows for the automated generation of a set of reduced-order equations of motion for the nonlinear modes and, in the single-mode case, it systematically produces the amplitude dependent mode shapes. Results from some illustrative examples are presented. The paper closes with a discussion of some topics of current and future interest and some conciusions." @default.
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- W2024028033 date "1999-01-01" @default.
- W2024028033 modified "2023-10-14" @default.
- W2024028033 title "Modal Analysis-Based Reduced-Order Models for Nonlinear Structures--An Invariant Manifold Approach" @default.
- W2024028033 doi "https://doi.org/10.1177/058310249903100101" @default.
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