Response Spectrum Method in Seismic Analysis

New developments in the response spectrum method have led to calculations in seismic stresses that are more accurate, and usually lower, than those obtained by conventional methods. This new textbook examines the wealth of information on the response spectrum method generated by the latest research and presents the background theory in simplified form.Applications of these methods is essential in the seismic design of critical structures, such as nuclear power plants and petroleum facilities. In new construction, the reduced seismic stresses will result in efficient and economic design. For facilities already built, these more accurate methods can be used where the facility is being reassessed for higher loads and in the calculation of margins.Written by an acknowledged expert in this and related fields, this volume is ideal as a graduate text for courses in structural and earthquake engineering. It is also an excellent reference for civil, structural, mechanical, and earthquake engineers.

Foreword
Preface
Acknowledgments
Structural dynamics and response spectrum	p. 1
Single-degree-of-freedom system	p. 1
Response spectrum	p. 2
Characteristics of the earthquake response spectrum	p. 6
Multi-degree-of-freedom systems	p. 7
Design spectrum	p. 11
'Average' elastic spectra	p. 12
Site-dependent spectra	p. 16
Design spectrum for inelastic systems	p. 23
Comments	p. 27
Combination of modal responses	p. 30
Modes with closely spaced frequencies	p. 31
High frequency modes - rigid response	p. 39
High frequency modes - residual rigid response	p. 45
Response to multicomponents of earthquake	p. 51
Simultaneous variation in responses	p. 52
Equivalent modal responses	p. 55
Interaction ellipsoid	p. 59
Approximate method	p. 60
Application to design problems	p. 62
Nonclassically damped systems	p. 66
Analytical formulation	p. 67
Response spectra	p. 71
Key frequencies f[superscript L] and f[superscript H]	p. 74
Modal combination	p. 75
Modal combination for high frequency modes	p. 77
Modal combination for high frequency modes - residual rigid response	p. 78
Application	p. 81
Response of secondary systems	p. 89
Formulation of the coupled problem	p. 91
Coupled modal properties	p. 95
Coupled response calculation	p. 98
Comparison of coupled response with the response from conventional IRS method	p. 101
An alternate formulation of the coupled response	p. 106
Secondary system equivalent oscillators	p. 108
Evaluation of instructure spectral quantities	p. 110
Examples of instructure response spectra	p. 114
Correlation coefficients	p. 116
Response examples	p. 118
Decoupled primary system analysis	p. 125
SDOF-SDOF system	p. 126
MDOF-MDOF systems	p. 130
Application of the frequency and response ratio equations	p. 131
Seismic response of buildings	p. 139
Analysis	p. 139
Building frequency	p. 144
Seismic coefficient	p. 144
Appendix: Numerical evaluation of response spectrum	p. 153
A.1 Linear elastic systems	p. 153
A.2 Bilinear hysteretic systems	p. 156
A.3 Elastoplastic systems	p. 158
A.4 Notes for a computational algorithm	p. 159
A.5 Records with nonzero initial motions	p. 160
Author index	p. 165
Subject index	p. 167
Table of Contents provided by Blackwell. All Rights Reserved.

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Response Spectrum Method in Seismic Analysis and Design of Structures

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