A unified formulation of the piecewise exact method for inelastic seismic demand... - Printable Version +- Civil Engineering Association (https://forum.civilea.com) +-- Forum: eBooks (https://forum.civilea.com/forum-63.html) +--- Forum: Journals, Papers and Presentations (https://forum.civilea.com/forum-74.html) +--- Thread: A unified formulation of the piecewise exact method for inelastic seismic demand... (/thread-5530.html)

A unified formulation of the piecewise exact method for inelastic seismic demand... - preceptor - 10-31-2009 A unified formulation of the piecewise exact method for inelastic seismic demand analysis including the P-delta effect info: The non-linear analysis of single-degree-of-freedom (SDOF) systems provides the essential background information for both strength-based design and displacement-based evaluation=design methodologies through the development of the inelastic response spectra. The recursive solution procedure called the piecewise exact method, which is effciently used for the response analysis of linear SDOF systems, is re-formulated in this paper in a uniffed format to analyse the non-linear SDOF systems with multilinear hysteresis models. The uniffed formulation is also capable of handling the P-delta effect, which generally involves the negative post-yield stiffness of the hysteresis loops. The attractiveness of the method lies in the fact that it provides the exact solution when the loading time history is composed of piecewise linear segments, a condition that is perfectly satisffed for the earthquake excitation. Based on simple recursive relationships given for positive, negative and zero effective stiffnesses, the uniffed form of the piecewise exact method proves to be an extremely powerful and probably the best tool for the SDOF inelastic time-history and response spectrum analysis including the P-delta effect.. non-linear analysis; seismic demand;inelastic response spectra