A Method for Harmonic Response of Structures with Symmetrical Nonlinearities

Date

1990-9

Author

Budak, Erhan
Özgüven, Hasan Nevzat

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Although there are several techniques available for the harmonic vibration analysis of nonlinear systems, the application of these methods to multi degree of freedom systems is rather limited. In this study a new method is devised for the harmonic analysis of nonlinear multi degree of freedom systems with nonlinear stiffness and damping forces. Different kinds of nonlinearities are covered by expressing nonlinear spring and damping forces as polynomials in displacements and velocities, respectively. The receptance matrix of the nonlinear system for a given level of external forcing is determined by using the nonlinear matrix formulated and the receptance matrix of the linear part of the system by applying an iterative algorithm. The so-called iterative receptance method is then modified for an efficient dynamic analysis of structures with local nonlinearities. The application of the method is demonstrated by numerical examples, and the results are found to be quite encouraging for the application of the method to practical structures.

URI

https://hdl.handle.net/11511/105370

Collections

Department of Mechanical Engineering, Conference / Seminar