Stochastic Linearization in Structural Dynamics

[1]  H. R. Busby,et al.  Response of Nonlinear Beam to Random Excitation , 1973 .

[2]  W. D. Mark,et al.  Random Vibration in Mechanical Systems , 1963 .

[3]  R. Clough,et al.  Dynamics Of Structures , 1975 .

[4]  P-T. D. Spanos,et al.  Stochastic analysis of oscillators with non-linear damping , 1978 .

[5]  J. R. Paulling.  Frequency-Domain Analysis Of Otec Cw Pipe And Platform Dynamics , 1979 .

[6]  P. Spanos,et al.  Hysteretic structural vibrations under random load , 1979 .

[7]  R. N. Iyengar,et al.  Study of the Random Vibration of Nonlinear Systems by the Gaussian Closure Technique , 1978 .

[8]  Jr. R. Booton.  The Measurement and Representation of Nonlinear Systems , 1954 .

[9]  Consolidated expansions for estimating the response of a randomly driven nonlinear oscillator , 1970 .

[10]  Numerical simulations of a Van der Pol oscillator , 1980 .

[11]  Joseph Penzien,et al.  Response of Offshore Structures to Random Wave Forces , 1970 .

[12]  Stephen Barnett,et al.  Comparison of numerical methods for solving Liapunov matrix equations , 1972 .

[13]  I. N. Sinitsyn.  Fluctuations of a gyroscope in a gimbal mount , 1976 .

[14]  Arthur Gelb,et al.  Multiple-Input Describing Functions and Nonlinear System Design , 1968 .

[15]  Piet M.T. Broersen,et al.  Estimation of parameters of non-linear dynamical systems , 1974 .

[16]  Richard H. Lyon,et al.  On the Vibration Statistics of a Randomly Excited Hard‐Spring Oscillator , 1960 .

[17]  Masanobu Shinozuka,et al.  DYNAMIC ANALYSIS OF FIXED OFFSHORE STRUCTURES SUBJECTED TO WIND GENERATED WAVES , 1977 .

[18]  Antony Jameson,et al.  Comparison of four numerical algorithms for solving the Liapunov matrix equation , 1970 .

[19]  S. M. Pandit.  Stochastic Linearization by Data Dependent Systems , 1977 .

[20]  Goodarz Ahmadi,et al.  Mean square response of a duffing oscillator to a modulated white noise excitation by the generalized method of equivalent linearization , 1980 .

[21]  Wilfred D. Iwan,et al.  On the existence and uniqueness of solutions generated by equivalent linearization , 1978 .

[22]  Will Gersch,et al.  Mean-Square Responses in Structural Systems , 1970 .

[23]  Joseph Penzien,et al.  Stochastic response of offshore towers to random sea waves and strong motion earthquakes , 1972 .

[24]  Masanobu Shinozuka,et al.  Monte Carlo solution of structural dynamics , 1972 .

[25]  T. Caughey.  Equivalent Linearization Techniques , 1962 .

[26]  Y. Wen.  Equivalent Linearization for Hysteretic Systems Under Random Excitation , 1980 .

[27]  P. Seide.  Nonlinear Stresses and Deflections of Beams Subjected to Random Time Dependent Uniform Pressure , 1976 .

[28]  P. Srinivasan,et al.  The non-linear response of a gyrostabilized platform: Effects of correction torque time delay and of random inputs , 1978 .

[29]  Studies in nonlinear stochastic processes. I. Approximate solutions of nonlinear stochastic differential equations by the method of statistical linearization , 1976 .

[30]  Stephen H. Crandall,et al.  Random Vibration of a Nonlinear System With a Set-up Spring , 1962 .

[31]  H. Sussmann.  On the Gap Between Deterministic and Stochastic Ordinary Differential Equations , 1978 .

[32]  Chiang C. Mei,et al.  Transmission of random wind waves through perforated or porous breakwaters , 1977 .

[33]  Y. K. Lin,et al.  Response of Flight Vehicles to Nonstationary Atmospheric Turbulence , 1971 .

[34]  P-T. D. Spanos,et al.  Formulation of Stochastic Linearization for Symmetric or Asymmetric M.D.O.F. Nonlinear Systems , 1980 .

[35]  T. S. Sankar,et al.  Dynamic Acceptance Test for Machine Tools Based on a Nonlinear Stochastic Model , 1980 .

[36]  Lawrence P. Krolikowski.  An Improved Linearization Technique For Frequency Domain Riser Analysis , 1980 .

[37]  M. K. Kaul,et al.  Response of offshore towers to strong motion earthquakes , 1972 .

[38]  Wilfred D. Iwan.  Dynamic Response of Suspended Underwater Systems , 1972 .

[39]  Hirokazu Iemura,et al.  LINEARIZATION TECHNIQUES FOR EARTHQUAKE RESPONSE OF SIMPLE HYSTERETIC STRUCTURES , 1973 .

[40]  Keijin Sato,et al.  Statistical Analysis of Dynamic Loads on Spur Gear Teeth , 1976 .

[41]  J. Karl Hedrick,et al.  Nonlinear Analysis of Rail Vehicle Forced Lateral Response and Stability , 1979 .

[42]  Keijin Sato,et al.  Statistical Analysis of Dynamic Loads on Spur Gear Teeth : Effect of Shaft Stiffness , 1976 .

[43]  A. B. Mason,et al.  Equivalent linearization for systems subjected to non-stationary random excitation , 1980 .

[44]  W. Iwan,et al.  Application of Statistical Linearization Techniques to Nonlinear Multidegree-of-Freedom Systems , 1972 .

[45]  S. Utku,et al.  Stochastic linearization of multi‐degree‐of‐freedom non‐linear systems , 1976 .

[46]  Katja Lindenberg,et al.  Studies in nonlinear stochastic processes. II. The duffing oscillator revisited , 1976 .

[47]  Neil J. Bershad,et al.  Review of 'Random Differential Equations in Science and Engineering' (Soong, T. T.; 1973) , 1975, IEEE Transactions on Information Theory.

[48]  J. Doob.  Stochastic processes , 1953 .

[49]  N. Bogolyubov,et al.  Asymptotic Methods in the Theory of Nonlinear Oscillations , 1961 .

[50]  T. Caughey.  Response of a nonlinear string to random loading , 1959 .

[51]  E. D. Denman,et al.  A New Solution Method for the Lyapunov Matrix Equation , 1975 .

[52]  Sami F. Masri,et al.  Response of the impact damper to stationary random excitation , 1973 .

[53]  H. Takemiya,et al.  Stationary Random Vibration of Hysteretic Systems , 1977 .

[54]  K. L. Johnson,et al.  The dynamic response of elastic bodies in rolling contact to random roughness of their surfaces , 1972 .

[55]  Non-stationary jump phenomena of non-linear control systems by statistical linearization method† , 1971 .

[56]  Thomas K. Caughey,et al.  Random Excitation of a System With Bilinear Hysteresis , 1960 .

[57]  E. Davison,et al.  The numerical solution of A'Q+QA =-C , 1968 .

[58]  W. D. Iwan,et al.  Response Envelope Statistics for Nonlinear Oscillators With Random Excitation , 1978 .

[59]  Edward Terence Foster.  Model for Nonlinear Dynamics of Offshore Towers , 1970 .

[60]  Joseph Penzien,et al.  Nondeterministic Analysis of Offshore Structures , 1970 .

[61]  M. K. Kaul,et al.  Stochastic seismic analysis of yielding offshore towers , 1974 .

[62]  W. D. Iwan,et al.  Response of the Bilinear Hysteretic System to Stationary Random Excitation , 1968 .

[63]  T. Caughey.  Nonlinear Theory of Random Vibrations , 1971 .

[64]  Wilfred D. Iwan,et al.  A generalization of the concept of equivalent linearization , 1973 .

[65]  S. S. Lee,et al.  Biaxial slip of a mass on a foundation subjected to earthquake motions , 1976 .

[66]  Edward Terence Foster.  Semilinear Random Vibrations in Discrete Systems , 1968 .

[67]  K. Yoshida,et al.  Dynamics of a Power Collector With Friction Dampers , 1976 .

[68]  C. Y. Yang,et al.  Optimal design for wave spectrum estimates , 1974 .

[69]  Polychronis-Thomas D. Spanos,et al.  Random Response to Flow-Induced Forces , 1981 .

[70]  L. Lutes.  Equivalent Linearization for Random Vibration , 1970 .

[71]  Stephen H. Crandall,et al.  Accumulated Slip of a Friction-Controlled Mass Excited by Earthquake Motions , 1974 .