Iutam Symposium on Dynamics and Control of Nonlinear Systems by A. K. Bajaj, P. Davies, R. Ippili, T. Puri (auth.), Chairman

By A. K. Bajaj, P. Davies, R. Ippili, T. Puri (auth.), Chairman H. Y. Hu, Co-Chairman Edwin Kreuzer (eds.)

The final decade has witnessed an expanding curiosity in the direction of the dynamics and keep watch over of nonlinear engineering structures from the scientists engaged in nonlinear dynamics and the keep an eye on engineers. either teams of individuals have famous the significance of interplay among nonlinear dynamics and powerful regulate in the course of their efforts to enhance the dynamic functionality of engineering platforms with uncertainty, which comes from both the random excitations, comparable to wind and earthquake, or the modelling mistakes of actual structures together with their sensors, controllers and actuators. The dynamics and keep watch over of nonlinear platforms with uncertainty, hence, is a crucial interdisciplinary subject regarding either stochastic structures and deterministic structures. This quantity comprises the papers awarded on the IUTAM Symposium on Dynamics and keep watch over of Nonlinear structures with Uncertainty, which was once subsidized by means of the overseas Union of Theoretical and utilized Mechanics (IUTAM) and held at Nanjing collage of Aeronautics and Astronautics, China, 18-22 September, 2006. the purpose of the symposium used to be to bringing jointly the scientists to debate the advances in dynamics and keep an eye on of nonlinear structures, specifically people with uncertainties in both approach modeling or excitation. The medical committee, appointed through the Bureau of IUTAM, comprises the subsequent individuals: F. L. Chernousko, Moscow, Russia E. Kreuzer, Hamburg, Germany (Co-Chairman) H. Y. Hu, Nanjing, China (Chairman) A. H. Nayfeh, Blacksburg, united states G. Rega, Rome, Italy W. Schiehlen, Stuttgart, Germany (IUTAM consultant) ok. Sobczyk, Warsaw, Poland G. Stepan, Budapest, Hungary H. Troger, Wien, Austria ix x Preface

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By A. K. Bajaj, P. Davies, R. Ippili, T. Puri (auth.), Chairman H. Y. Hu, Co-Chairman Edwin Kreuzer (eds.)

The final decade has witnessed an expanding curiosity in the direction of the dynamics and keep watch over of nonlinear engineering structures from the scientists engaged in nonlinear dynamics and the keep an eye on engineers. either teams of individuals have famous the significance of interplay among nonlinear dynamics and powerful regulate in the course of their efforts to enhance the dynamic functionality of engineering platforms with uncertainty, which comes from both the random excitations, comparable to wind and earthquake, or the modelling mistakes of actual structures together with their sensors, controllers and actuators. The dynamics and keep watch over of nonlinear platforms with uncertainty, hence, is a crucial interdisciplinary subject regarding either stochastic structures and deterministic structures. This quantity comprises the papers awarded on the IUTAM Symposium on Dynamics and keep watch over of Nonlinear structures with Uncertainty, which was once subsidized by means of the overseas Union of Theoretical and utilized Mechanics (IUTAM) and held at Nanjing collage of Aeronautics and Astronautics, China, 18-22 September, 2006. the purpose of the symposium used to be to bringing jointly the scientists to debate the advances in dynamics and keep an eye on of nonlinear structures, specifically people with uncertainties in both approach modeling or excitation. The medical committee, appointed through the Bureau of IUTAM, comprises the subsequent individuals: F. L. Chernousko, Moscow, Russia E. Kreuzer, Hamburg, Germany (Co-Chairman) H. Y. Hu, Nanjing, China (Chairman) A. H. Nayfeh, Blacksburg, united states G. Rega, Rome, Italy W. Schiehlen, Stuttgart, Germany (IUTAM consultant) ok. Sobczyk, Warsaw, Poland G. Stepan, Budapest, Hungary H. Troger, Wien, Austria ix x Preface

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Extra info for Iutam Symposium on Dynamics and Control of Nonlinear Systems with Uncertainty: Proceedings of the IUTAM Symposium held in Nanjing, China, September 18-22, 2006

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This corroboration of results has provided confidence in our modeling approach for studying the nonlinear dynamics of seat-occupant systems. 10 A. K. Bajaj et al. Figure 5. The equilibrium position of the seat-occupant system with 48 springs at the seat bottom and 42 springs at the seat back. Final configuration is reached in T=10 secs. REFERENCES 1. 2. 3. 4. 5. 6. 7. 8. 9. 10. 11. 12. 13. 14. Griffin MJ. Handbook of Human Vibration, London, Academic Press, 1990. Ebe K, Griffin MJ. “Factors affecting static seat cushion comfort”, Ergonomics, 44, pp.

E. by the condition Q ≤ δQ, Q0 (1) where Q0 is the static wheel load, Q(t) the actual wheel load and δQ a safety margin usually taken as 10% or 5%. Other criteria, such as flange climbing (ratio of lateral to vertical wheel force) and track shift (sum of lateral forces on each axle) are less critical [14], when large aerodynamic loads are acting on the train. 26 C. Proppe, C. 2 Aerodynamic model The model for the crosswind consists of a superposition of the mean wind, the gust characteristic and the turbulent fluctuations.

Wetzel 1 Fy / z (t ) = Cside / lift ( β ) ρ Avs2 (t ), 2 1 M x / y / z (t ) = Croll / pitch / yaw ( β ) ρ Alvs2 (t ). 2 (2) The factors A and l are the related area and length dimension of the vehicle, resp. As the influence of the drag force on the crosswind stability is negligible the drag coefficient is not considered. The aerodynamic coefficients Cside/lift/roll/pitch/yaw depend nonlinearly on the angle β = tan −1 ( v(t ) ) v0 (3) For the calculation of vs(t), oscillations of the carbody are neglected and only the reference velocity is taken into account, as they are much smaller than the wind velocity.

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