IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics: Proceedings of the IUTAM Symposium held in Trondheim, Norway, 3-7 July 1995

by A. Naess (Editor), S. Krenk (Editor)

Overview

The IUTAM Symposium on Advances in Nonlinear Shastic Mechanics, held in Trondheim July 3-7, 1995, was the eighth of a series of IUTAM sponsored symposia which focus on the application of shastic methods in mechanics. The previous meetings took place in Coventry, UK (1972), Sout'hampton, UK (1976), FrankfurtjOder, Germany (1982), Skholm, Sweden (1984), Innsbruckjlgls, Austria (1987), Turin, Italy (1991) and San Antonio, Texas (1993). The symposium provided an extraordinary opportunity for scholars to meet and discuss recent advances in shastic mechanics. The participants represented a wide range of expertise, from pure theoreticians to people primarily oriented toward applications. A significant achievement of the symposium was the very extensive discussions taking place over the whole range from highly theoretical questions to practical engineering applications. Several presentations also clearly demonstrated the substantial progress that has been achieved in recent years in terms of developing and implement­ ing shastic analysis techniques for mechanical engineering systems. This aspect was further underpinned by specially invited extended lectures on computational shastic mechanics, engineering applications of shastic mechanics, and nonlinear active control. The symposium also reflected the very active and high-quality research taking place in the field of shastic stability. Ten presentations were given on this topic ofa total of47 papers. A main conclusion that can be drawn from the proceedings of this symposium is that shastic mechanics as a subject has reached great depth and width in both methodology and applicability.

Product Details

ISBN-13:	9789401066303
Publisher:	Springer Netherlands
Publication date:	09/20/2011
Series:	Solid Mechanics and Its Applications , #47
Edition description:	Softcover reprint of the original 1st ed. 1996
Pages:	514
Product dimensions:	6.30(w) x 9.45(h) x 0.04(d)

Table of Contents

Experimental random excitation of nonlinear systems with multiple internal resonances.- Shastic stability of viscoelastic systems under bounded noise excitation.- Fixed points and attractors for random dynamical systems.- Nonlinear wave propagation in complex structures modelled by random media with self-stresses.- Shastic linearization and large deviations.- Meandering propagation of fatigue cracks through solids with randomly distributed properties.- The study of bifurcations through the solution of the Fokker-Planck equation.- Spectral response of a beam-stop system under random exitation.- Higher order approximations for maxima of random fields.- Extension of the shastic differential calculus to complex processes.- Response of a hysteretic system under non-stationary earthquake excitation.- Nonlinear active control and shastic excitation.- Viscoplastic responses with shastic Q-damping for soil.- Gaussian white noise excited elasto-plastic oscillator of several degrees of freedom.- Fatigue crack growth under shastic loading.- Small noise expansion of moment Lyapunov exponents for two-dimensional systems.- Non-perturbative FEM for deterministic and shastic beams through inverse of stiffness matrix.- Strength and serviceability requirements in seismic deign using nonlinear SFEM.- Parametric models and shastic integrals.- Shastic response of irregular tracks under moving vehicles.- Monte Carlo simulation of dynamical systems of engineering interest in a massively parallel computing environment: An application of genetic algorithms.- Shastic response of coupled platform-tether system under multi-directional seas.- Optimal control problems for nonlinear oscillatory systems with random perturbations.- Shastic dynamics of nonlinear structures with random properties subject to stationary random excitation.- Wind field coherence and dynamic wind forces.- Wave propagation through randomly disordered near-periodic structures.- Harmonic response analysis of shastic rods using spatial shastic averaging.- Ship capsizing in random sea waves and the mathematical pendulum.- Random vibration of ship hulls.- Shastic response of a system with space imperfections under moving load.- Moment equations for non-linear systems under renewal-driven random impulses with gamma-distributed interarrival times.- Micromechanically based constitutive laws and random fields in solid mechanics: Elasticity, plasticity and fracture.- Response correlations of linear systems with white noise linearly parametric inputs.- Parameter estimation for randomly excited non-linear systems.- Amplitude bounds of shastic nonlinear multibody systems.- Engineering applications of shastic mechanics.- Wind induced vibrations of high-rise structures.- A new tool for the investigation of a class of nonlinear shastic differential equations: The Melnikov process.- Non-stationary response of shastic systems via maximum entropy principle.- Lyapunov exponents and information dimensions of multi-degree-of-freedom systems under deterministic and stationary random excitations.- Randomly excited vibratory systems with variable structure.- Stability and invariant measures of perturbed dynamical systems.- New insights on the application of moment closure methods to nonlinear shastic systems.- Unified analysis of complex nonlinear motions via densities.- Some recent advances in theory of shastically excited and dissipative Hamiltonian systems.