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Published in:
2022 | OriginalPaper | Chapter
5. Nonlinear Response of NDOF Systems
Author : Keith D. Hjelmstad
Published in: Fundamentals of Structural Dynamics
Publisher: Springer International Publishing
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Abstract
In this chapter, we lay out an approach to nonlinear analysis of the NDOF system with two objectives: (1) connect with the nonlinear models we introduced for the SDOF systems in Chap. 3 and (2) set up an approach to formulating the equations of motion in a way that will extend gracefully to trusses, frames, and other complex structures. In particular, we will establish a strategy based upon the principle of virtual work that leads to an algorithm for directly assembling the equations of motion. This approach will serve as a foundation for formulating equations of motion throughout the rest of the book. Once formulated, we will solve the equations of motion by extending the numerical tools already developed for the SDOF system.