Fictitious Forces Method and Its Application to the Nonlinear Analysis of Plane RC Skeletal Structures
Publication: Journal of Structural Engineering
Volume 142, Issue 11
Abstract
The fictitious force method (FFM) is an iterative nonlinear elastic analysis method of skeletal structures. The FFM extends the geometrically nonlinear method to the materially nonlinear analysis by replacing the original problem with an auxiliary linear problem that includes additional loads that account for the materially nonlinear behavior. The FFM is easily implemented in current linear finite-element analysis (FEA) programs. The FFM is mathematically equivalent to the modified Newton-Raphson method, which means that it converges linearly. The paper (1) applies a combination of FFM with a layers model (FFM-LM) to the quasistatic nonlinear analysis of reinforced concrete plane frames displaying bending-stretching coupling, (2) shows how to implement FFM-LM in a standard FEA program, and (3) applies the latter implementation to illustrative examples.
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Acknowledgments
We are grateful for the support of Portuguese Foundation for Science and Technology with the Doctoral Grant SFRH/BD/36605/2007 and Project Grants UID/MULTI/00308/2013 and POCI-01-0145-FEDER-007633.
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Published In
Journal of Structural Engineering
Volume 142 • Issue 11 • November 2016
Copyright
© 2016 American Society of Civil Engineers.
History
Received: Jul 16, 2014
Accepted: Apr 12, 2016
Published online: Jun 10, 2016
Published in print: Nov 1, 2016
Discussion open until: Nov 10, 2016
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