§16§This symposium, held at Innsbruck/lgls on June 21-26, 1987, is the fifth in a series of IUTAM-Symposia on the application of stochastic methods in mechanics. The flrst two meetings in Warwick (1972) and Southhampton (1976) concentrated on the stability of stochastic dynamical systems and stochastic methods in dynamics, respectively. The third meeting in Frankfurt/Oder (1982) added aspects of reliability, while the fourth symposium in Stockholm (1984) dealt mainly with fatigue and fracture problems. The general theme of the present symposium is devoted to nonlinear stochastic dynamics of engineering systems which is believed of great importance for providing the tools for basic development and progress in various fields of mechanical-, structural- and aeronautical engineering, particularly in the areas of vehicle dynamics, multi-storey structural dynamics, systems identiflcation, offshore structural dynamics, nuclear structures under various stochastic loading conditions (i. e. win §16§d-, earthquake-, parametric excitations, etc. ). The contributions collected in this volume cover a wide spectrum of topics ranging from more theoretical, analytical and numerical treatment to practical application in various flelds. The truly international character of the meeting is accomplished by 42 contributions and 86 participants from as many as 19 countries and hence, contributed to the original idea of IUTAM, which is to foster international cooperation. It should be recalled, that, for getting this cooperation started again after the First World War, Theodore von Kanmm and Tullio Levi-Civita called the world's flrst international (IUTAM) conference on hydro- and aerornechanics in 1922 in Innsbruck, Austria. §04§ametric and External White Noise Excitations.- Non-Gaussian Response of Nonlinear Oscillators with Fourth-Order Internal Resonance.- Nonlinear Random Vibrations of Compliant Offshore Platforms.- Application of Averaging Methods to Randomly Excited Hysteretic Systems.- Stochastic Averaging of Energy Envelope of Bilinear Hysteretic Systems.- A Closed Form Solution for a Class of Non-Stationary Nonlinear Random Vibration Problems.- Hysteretic Systems.- Stochastic Seismic Damage and Reliability Analysis of Hysteretic Structures.- Mean-Square Response of Hysteretic Oscillators under Nonstationary Random Excitation.- Nonlinear and Nonstationary Random Vibration of Hysteretic Systems with Application to Vehicle Dynamics.- Modal Analysis of Nonlinear Hysteretic Structures for Seismic Motions.- The Stochastic Response of Strongly Nonlinear Systems with Coulomb Damping Elements.- Identification of the Hysteresis Parameters of a Nonlinear Vehicle Suspension under Random Excitation.- Reliabil §04§ity Problems.- On the Solution of Several First Passage Problems in Nonlinear Stochastic Dynamics.- Nonlinear Random Vibration in Structural Safety and Performance Evaluation.- Reliability of Nonlinear Infilled Frame Systems with Uncertain Properties under Random Seismic Loading.- Statistical Performance Analysis of Nonlinear Joints in Space Structures.- Address of the Secretary-General of Iutam at the Closing Ceremony.- Appendix A: Scientific Program.- Appendix B: List of Participants.