Problems in nonlinear structural dynamics and critical excitation with elastic-plastic structures are typically addressed using time-history response analysis, which requires multiple repetitions and advanced computing. This alternative approach transforms ground motion into impulses and takes an energy balance approach.
This book is accessible to undergraduates, being based on the energy balance law and the concepts of kinetic and strain energies, and it can be used by practitioners for building and structural design. This presentation starts with simple models that explain the essential features and extends in a step-by-step manner to more complicated models and phenomena.
Table of Contents
2 Critical earthquake response of an elastic–perfectly plastic SDOF model under double impulse as a representative of near-fault ground motions
3 Critical earthquake response of an elastic–perfectly plastic SDOF model under triple impulse as a representative of near-fault ground motions
4 Critical input and response of an elastic–perfectly plastic SDOF model under multi-impulse as a representative of long-duration earthquake ground motions
5 Critical earthquake response of an elastic–perfectly plastic SDOF model with viscous damping under double impulse
6 Critical steady-state response of a bilinear hysteretic SDOF model under multi-impulse
7 Critical earthquake response of an elastic–perfectly plastic SDOF model on compliant ground under double impulse
8 Closed-form dynamic collapse criterion for a bilinear hysteretic SDOF model under near-fault ground motions
9 Closed-form overturning limit of a rigid block as a SDOF model under near-fault ground motions
10 Critical earthquake response of a 2DOF elastic–perfectly plastic model under double impulse
11 Optimal viscous damper placement for an elastic–perfectly plastic MDOF building model under critical double impulse
12 Future directions
Izuru Takewaki is a professor of building structures at Kyoto University and president of the Architectural Institute of Japan.
Kotaro Kojima is an assistant professor of building structures at the Kyoto Institute of Technology.
‘This is a thorough and systematic treatment of an innovative method for analysing the structural dynamics of earthquakes. Students and professionals will benefit from the detailed examples.’ - Prof. Yakov Ben-Haim, Yitzhak Moda'i Chair in Technology and Economics, Technion - Israel Institute of Technology
‘This unique book presents recent original work of the authors on seismic analysis and design of inelastic structures. The authors succeed through ingenious simplified structural and seismic motion models to derive by energy methods closed-form solutions to a variety of complicated problems. I highly recommend this excellent book.’ - Dimitri E. Beskos, Emeritus Professor, University of Patras, Greece
‘This outstanding book overcomes existing difficulties in design of earthquake-prone structures. It opens the door for analytical nonlinear structural dynamics combining with the idea of series of impulses. I strongly recommend this book for engineers and researchers in the field of applied mechanics, structural dynamics, and earthquake engineering.’ - Professor Isaac Elishakoff, Florida Atlantic University