Recursive block-by-block integral equation solution for transient dynamic analysis with memory-type elements
Abstract
An efficient method of computing structural response of multi-story nonlinear base isolated buildings for a given seismic event is presented. Using a recursive block-by-block convolution (RBBIEF) solution to the governing nonlinear Volterra integral equation, structural base motion acting through an arbitrary number of nonlinear base isolators can be computed quickly and accurately. The general solution to the governing nonlinear Volterra integral is formulated and subsequently converted into code using MATLAB. The procedure incorporates modal properties, computed from conventional finite element (FE) techniques, and the generated MATLAB programs to solve a varying set of multi- degree of freedom structures coupled to both linear and nonlinear isolators. Ultimately, an analysis is conducted on a 30-story building that was overly designed using the 1994 Load Resistance Factor Design Ref. 1 and the 1994 Uniform Building Codes Ref. 2 for earthquake loading. The method demonstrates that the Volterra integration scheme in the time domain is very effective and efficient.
Rights
This publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.Collections
Related items
Showing items related by title, author, creator and subject.
-
Control of nonlinear systems
Gilchrist, Richard B. (Cambridge, Massachusetts: Massachusetts Institute of Technology, 1964-01);Dynamic programming is employed to obtain a solution to the problem of controlling a nonlinear system in an optimal fashion, subject to a quadratic performance index. The technique sued is similar to that given by Merriam ... -
Stability of autopiloted ships in a following sea.
Folsom, David Lindley. (Massachusetts Institute of Technology, 1967-06);The object of this thesis was to investigate the stability of a ship with automatic steering in a following sea using the nonlinear equations of motion and to compare these results with the results of linear approximations. ... -
Efficient Nonlinear Transient Dynamic Analysis for Structural Optimization Using an Exact Integral Equation Formulation
Gordis, Joshua H.; Neta, Beny (Monterey, California. Naval Postgraduate School, 1999-05); NPS-ME-99-009This report serves to document progress made to date on the National Science Foundation Project #97-13481, Earthquake Hazard Mitigation Program. The focus of this phase of the project is the development of an improved ...