A note on response spectra of peak amplitudes expected to be exceeded for a given number of cycles

Goodman, 1958, Aseismic design of firmly founded elastic structures, Trans. ASCE, 120, 782 Wilson, 1981, A replacement for the SRSS method in seismic analysis, Earthquake Eng. and Struct. Dyn., 9, 187, 10.1002/eqe.4290090207 Miner, 1945, Cumulative damage in fatigue, Jour. Appl. Mech., 12, 1 Freudenthal, 1955, Physical and statistical aspects of cumulative damage Kasiraj, 1968, Low-cycle fatigue failure of seismic structure Suidan, 1973, Cumulative fatigue damage in seismic structures, Jour. Structural Divn, 99, 923, 10.1061/JSDEAG.0003513 Perez, 1980, Spectra of amplitudes sustained for a given number of cycles: an interpretation of response duration for strong-motion earthquake records, Bull. Seismol.Soc. Amer., 70, 1943, 10.1785/BSSA0700051943 Kawashima, 1986, Earthquake response spectra taking account of number of response cycles, Earthquake Eng. and Struct. Dyn., 14, 185, 10.1002/eqe.4290140203 Gupta, 1988, Order statistics of peaks in earthquake response, ASCE EMD, 114, 1605, 10.1061/(ASCE)0733-9399(1988)114:10(1605) Gupta, 1987, Order statistics of peaks in the response of multi-degree-freedom structures, Earthq. Engg and Eng Vibration, 7, 15 Cartwright, 1956, The statistical distribution of maximum of a random function, 212 Newland, 1975 Perez, 1984, Reversing cycle elastic demands on structures during earthquakes and applications to ductility requirement, Earthquake Spectra, 1, 7, 10.1193/1.1585254