A modal derivatives enhanced Craig-Bampton method for geometrically nonlinear structural dynamics

Conference paper (2016)

Authors

L. Wu Dynamics of Micro and Nano Systems - Mechanical, Maritime and Materials Engineering
P. Tiso ETH Zürich
A. van Keulen Computational Design and Mechanics - Mechanical, Maritime and Materials Engineering
Research Group
Dynamics of Micro and Nano Systems (Mechanical, Maritime and Materials Engineering) (TU Delft)
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Published Date

2016

Language

English

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Faculty

Mechanical, Maritime and Materials Engineering

Department

Precision and Microsystems Engineering

Research Group

Dynamics of Micro and Nano Systems

Abstract

Component Mode Synthesis is commonly used to simulate the structural behavior of complex systems with many degrees of freedom. The Craig-Bampton approach is one of the most commonly used techniques. A novel reduction method is proposed here for geometrically nonlinear models by augmenting the constraint modes and internal vibration modes with the modal derivatives. A subset of the corresponding modal derivatives can therefore be efficiently used to consider the geometric nonlinearities. This modal substructuring technique is an extension of the Craig-Bampton method without increasing the difficulty of implementation. The applicability and efficiency of the modal derivative based Craig-Bampton method for nonlinear system is demonstrated by a numerical example.