A Method for Forced Harmonic Response of Substructures Coupled by Nonlinear Elements

Date

1995-2

Author

Cömert, Mutlu D.
Özgüven, Hasan Nevzat

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A method for calculating the forced response of a nonlinear sysfem composed of several linear subsystems and nonlinear connecting elements is presented. The linear subsystems may initially be described in terms of theit modal data (modal vectors and n&ml frequenties), or miss, stiffness and damping mottices, or measured/ computed FRF data. Nonlinear connection elements with symmetrical chomcteristics may be handled by the method developed. These nonlinearities moy either br of discrete type (springs with cubic or piecewise linear stiflnness, Coulomb friction, cleamnces; etc.) or continuous type (odd polynomial type of physical nonlinearities ezpressable by Finite Element modelling of structures for large oscillations). The effect of nonlinear internal forces is ezpressed as a product of a co&irirnf matrir and interfacial displacements, these forces being expressed by using the describing function method. The diflerential equations of motion of the overall strutlure are convertedinto o set of nonlinear algebraic equations and these equations are solved iteratively by updating the displacement dependent coefficient maitir af each iteration step. The method is compatible with the standard modal analysis procedures. A case sfvdy is presented in order to demonstmte the performance of the method developed.

URI

https://hdl.handle.net/11511/105188

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Department of Mechanical Engineering, Conference / Seminar