22: 
12.13. 
12.14. 
WARIS) 
12.16. 
L2G 
12.18. 
A295 
FIGURES (Continued) 
Page 
Probability distribution density of the extreme (peak) values 
ofDuttin gy typeroscillatornemn eee ence ek cr kcier cr 341 
Probability distribution density of the extreme (peak) 
values of oscillator with set-up springs ........... 00sec eee neces 342 
Probability density function for displacement response; 
A =i 05 G=01054e.—0 10080 digitalisimulation\estimate mein rire 346 
Variation of the mean square of the response with € *. 
Simulation results: - Go = 0.05, + 9 = 0.50 .......... 0. eee eee 350 
EVENS ORD aie Sie Sas RS RS Se eR aoe Raveena ted Pacscae stores 351 
Probability density function for amplitude A: 
GQa=05 7b — 1 1G) = 00365 25 — OOO NPTOCesS Sian eee ae 352 
Cumulative probability distribution for amplitude A: 
GQ =1OMb = 1h Oy =) 00365) OF =—20:905 Processisismaneaeee rec 352 
Cumulative probability distribution for amplitude A: 
a = 0.01, oy = 0.036, Q = 0.90, b = 0.1 and 1.0; 
PY OCESS  Siioectaeas creas Seperate irene cee ne eaters aucun can Cal EOI ena Cs steaaee rene 353 
Cumulative probability distribution for amplitude A: 
a = 0.03, dy = 0.036, Q = 0.90, b = 0.1 and 3.0; 
BLOCESS) Sas cic rer wears vor Realy oes ar a vcuane eee Gker ee ee e Se Renae Heese eee ee 353 
Variation of standard deviation of roll Or with standard deviation 
of wave input o,,: a = 0.01; Q = 0.90; b = 0.1, 0.3, 
ANG TOR PrOCESS 3 iss ers kaneis soe: s adeheroesh shepeloncrat suns Mien cten cciate ei enera eer 354 
Probability density function of the maxima of waves ................ 362 
Cumulative probability distribution function of wave amplitude ....... 363 
Probability density distribution function of wave amplitude ........... 363 
Expected 1/n highest values of wave amplitude..................... 364 
Comparison of densities of response maxima and minima estimated 
from the simulations, with those of the first and 
SECONG APPLOXIMALIONS yaveyay-roiel Vorekanorelesl ome Ns eet eterna eit 376 
Comparison of cumulative distribution of response maxima and minima 
estimated from the simulation, with those of the first (fitted 
distribution) and second approximation — sample 1.................. 377 
Comparison of cumulative distribution of response maxima and minima 
estimated from the simulation, with those of the first (fitted 
distribution) and second approximation — sample 2 .................. 378 
XV 
