Cover of: Nonlinear Structural Systems Under Random Conditions | F. Casciati

Nonlinear Structural Systems Under Random Conditions

Proceedings of the European Mechanics Colloquium, Euromech 250, Como, Italy, June 19-23, 1989
  • 396 Pages
  • 0.89 MB
  • English
Elsevier Science Ltd
ContributionsJ. B. Roberts (Editor)
The Physical Object
ID Numbers
Open LibraryOL7533584M
ISBN 100444888039
ISBN 139780444888037

Nonlinear structural systems under random conditions: proceedings of the European Mechanics Colloquium, EuromechComo, Italy, JuneAuthor: Fabio Casciati ; Isaac Elishakoff Nonlinear Structural Systems Under Random Conditions book.

The book is written as a self-study book that is suitable for engineering students or practicing engineers. It is an excellent textbook for courses on nonlinear structural analysis.” (Nicolae-Doru Stanescu, International Journal of Acoustics and Vibration, Vol.

14 (2), )Format: Hardcover. The topic of Random Vibrations is the behavior of structural and mechanical systems when they are subjected to unpredictable, or random, vibrations. These vibrations may arise from natural phenomena such as earthquakes or wind, or from human-controlled causes such as the stresses placed on aircraft at takeoff and landing.

Summary Nonlinear systems with random structures arise quite frequently as mathematical models in diverse disciplines. This monograph presents a systematic treatment of stability theory and the theory of stabilization of nonlinear systems with random structure in terms of new developments in the direct Lyapunov's method.

Nonlinearity in Structural Dynamics: Detection, Identification and Modelling - CRC Press Book Many types of engineering structures exhibit nonlinear behavior under real operating conditions. Sometimes the unpredicted nonlinear behavior of a system results in catastrophic failure.

Nonlinear Analysis of Structures presents a complete evaluation of the nonlinear static and dynamic behavior of beams, rods, plates, trusses, frames, mechanisms, Cited by: Casciati, F.; Elishakoff, I.; Roberts, J. (eds.). Nonlinear Structural Systems under Random Conditions.

Details Nonlinear Structural Systems Under Random Conditions FB2

Proceedings of the European Mechanics : C. Lange. The scope of the conference includes mostly: bifurcations and chaos, control in dynamical systems, asymptotic methods in nonlinear dynamics, stability of dynamical systems; Nonlinear Structural Systems Under Random Conditions book of discrete.

The high complexity of structures under high impact loads such as nonlinear material behavior, extreme structural responses and structural instabilities has attracted a great deal of attention in various engineering fields (Wang and LiAhmadian and NorrisHongsheng and SuxiangWiklo and Holnicki-Szulc a, b, Consolazio et al ).Cited by: Linear Systems 1 Homogeneous Nonlinear Systems 3 Polynomial and Volterra Systems 18 Interconnections of Nonlinear Systems 21 Heuristic and Mathematical Aspects 34 Remarks and References 37 Problems 42 Appendix Convergence Conditions for Interconnections of Volterra Systems Response of Linear and Non-Linear Structural Systems under Gaussian or Non-Gaussian Filtered Input linear structures there are now several papers which cover both theoretical and practical aspects and a number of text-books which give a good overview of the subject [1–4] is available, the study of structures which present non-linearities Cited by: The various techniques available for the analysis of nonlinear systems subjected to random excitations are briefly introduced and an overview of the progress which has been made in this area of Author: Cs Manohar.

Nonlinear Dynamics provides a forum for the rapid publication of original research in the field. The journal’s scope encompasses all nonlinear dynamic phenomena associated with mechanical, structural, civil, aeronautical, ocean, electrical, and control systems.

Nonlinearity can be treated like noise in our data - Chaos was believed to be random noise until but has since been shown to be a nonlinear phenomenon. - When systems are nonlinear, noise will never be Gaussian in nature and we need to be extra careful about estimation.

2 1 1 cos cos2 2 2 t t Nonlinearmyths(Jackson,) Nonlinear systems Khalil - Prentice-Hall, Probably the best book to start with nonlinear control Nonlinear systems S.

Sastry - Springer Verlag, Good general book, a bit harder than Khalil’s Mathematical Control Theory - E.D. Sontag - Springer. A strategy for optimal nonlinear feedback control of randomlyexcited structural systems is proposed based on the stochastic averagingmethod for quasi-Hamiltonian systems and the stochastic dynamicprogramming principle.

A randomly excited structural system isformulated as a quasi-Hamiltonian system and the control forces aredivided into conservative and dissipative by: ECCOMAS e-book Comparison of some reduction bases approaches for non-linear structural dynamic systems under different excitations On the motion of continua with non-material boundary conditions - an investigation with one-dimensional examples A.

Franze, B.W. Zastrau. To perform a nonlinear analysis, we want to, altogether, stay then with simple, relatively small and reliable models. We always want to perform a linear analysis first. I will show examples in this course particular related to this item here.

It is very important, in my view, to. 1) A system is linear if the function)x(t and its derivatives appear to the first (or zero) power only; otherwise the system is nonlinear.

2) A system is linear if a0,a1 and a2depend as time alone, or they are constant. lent system The complex vibrating system can be reduced to simpler one by using the concept of equivalent Size: KB.

Complex Systems, Eds. Bossomaier and D. Green. Draft 7/3/94 Nonlinear Control Systems By Matthew R. James Department of Systems Engineering, Research School of Information Sciences and Engineering, Australian National University, Canberra, ACTAustralia. Introduction Control systems are prevelant in nature and in man-made Size: KB.

Fatigue crack growth in degrading elastic components of nonlinear structural systems under random loading International Journal of Solids and Structures, Vol. 37, No.

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4 Stochastic Modeling of Fatigue Crack Damage for Risk Analysis and Remaining Life PredictionCited by: Nonlinear statistics for system discrimination Extracting qualitative information from a time series 8 Selected nonlinear phenomena Robustness and limit cycles Coexistence of attractors Transients Intermittency Structural stability Bifurcations Quasi-periodicity random nonlinear systems.

We present sufficient conditions based on a Lyapunov approach to ensure finite-time attraction of the equilibrium. First, we introduce unrestrictive assumptions to guarantee the path-wise uniqueness and the existence of the finite-time solution.

Then along with the.

Description Nonlinear Structural Systems Under Random Conditions FB2

The first-passage failure of quasi-integrable Hamiltonian systems (multidegree-of-freedom integrable Hamiltonian systems subject to light dampings and weakly random excitations) is investigated. The motion equations of such a system are first reduced to a set of averaged Ito^ stochastic differential equations by using the stochastic averaging Cited by: Congratulations to our co-managing editor J.N.

Reddy who has been selected to receive the Stephen P. Timoshenko Medal from the American Society of Mechanical Engineers!. He has been cited "for life-time contributions to research and education in applied mechanics through the authorship of creative and highly-cited papers on variational principles, refined theories of plates and shells.

Nonlinear Structural Analysis (ANL) SIMULIA Overview Nonlinear Structural Analysis (ANL) extends the CATIA V5 Analysis capabilities to allow more advanced simulation that nonlinearity. Material plasticity, typical of metals, can be modeled, as can the nonlinear elasticity in File Size: KB.

ADINA Structures provides state-of-the-art stress capabilities for the analysis of solids and structures. The analysis can be linear or highly nonlinear, static or dynamic, and may include geometric nonlinearities, large deformations, severe material nonlinearities, load nonlinearities, and contact conditions.

both structural and behavioral changes, it is reasonable to assume that dif-ferent time series models may be required to explain the empirical data at different times. This chapter introduces some popular nonlinear time series models that have been found to be effective at modeling nonlinear behavior in economic and financial time series data.

response of the system under the loading F(t). The properties of the structure can be completely defined by the mass, damping, and stiffness as shown. The idealization assumes that all of the mass of the structure can be lumped into a single point and that all of the deformation in the frame occurs in the columns with the beam staying Size: 1MB.

This paper is devoted to the study of the stability properties of two simple but nontrivial linear Ito stochastic differential equations. By applying a recent result due to Khasminskii, what appear to be the first explicit and exact regions of stability for linear stochastic differential equations are by:.

A nonlinear system under a periodic input can oscillate with submultiple or multiple frequency of input or almost-periodic oscillation. I Chaos:A nonlinear system may have a di erent steady-state behavior which is not equilibrium point, periodic oscillation or almost-periodic oscillation.

This chaotic motions exhibit random, despite of File Size: KB.The present work is concerned with deterministic nonlinear phenomena arising in the finite-amplitude dynamics of elastic suspended cables.

The underlying theoretical framework has been addressed in Part I of this Special Issue, where the mechanical system and its mathematical modeling have been presented, and different techniques for the analysis of nonlinear dynamics have been illustrated Cited by: Dai, L., and Sun, L., “Active Control of Nonlinear Axially Translating Cable Systems of Multi-Dimensions,” chapter contribution in the book: Nonlinear Approaches in Engineering Applications – Dynamic Systems and Control, edited by L.

Dai and R. Jazar, ISBN::Springer, New York,