Ebook: Nonlinear Stochastic Dynamic Engineering Systems: IUTAM Symposium Innsbruck/Igls, Austria, June 21–26, 1987

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. wind-, 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.

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This symposium is the fifth in a series of IUTAM Symposia on the application of stochastic methods in mechanics. The general theme of this symposium is nonlinear stochastic dynamics of engineering systems. This is believed to be of great importance in 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 identification, offshore structural dynamics, nuclear structures under various stochastic loading conditions (wind, earthquake, parametric excitations, etc.). The contributions collected in this volume cover a wide spectrum ranging from more theoretical, analytical, and numerical treatment to practical application in various fields.

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This symposium is the fifth in a series of IUTAM Symposia on the application of stochastic methods in mechanics. The general theme of this symposium is nonlinear stochastic dynamics of engineering systems. This is believed to be of great importance in 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 identification, offshore structural dynamics, nuclear structures under various stochastic loading conditions (wind, earthquake, parametric excitations, etc.). The contributions collected in this volume cover a wide spectrum ranging from more theoretical, analytical, and numerical treatment to practical application in various fields.
Content:
Front Matter....Pages I-X
Front Matter....Pages 1-1
Accuracy and Limitations of the Method of Equivalent Linearization for Hysteretic Multi-Storey Structures....Pages 3-21
On Equivalent Harmonic and Stochastic Linearization for Nonlinear Shock-Absorbers....Pages 23-32
Approximate Analysis of Limit Cycles in the Presence of Stochastic Excitations....Pages 33-44
The Method of Statistical Linearization for Non-Linear Stochastic Vibrations....Pages 45-56
Statistical Dynamics of Vibroimpact Systems....Pages 57-66
Front Matter....Pages 67-67
Van der Pol’s Oscillator Under Combined Periodic and Random Excitations....Pages 69-85
A Nonlinear System Identification in the Analysis of Offshore Structure Dynamics in Random Waves....Pages 87-100
Nonstationary Random Vibrations of Continuous Inelastic Structures Taking into Account the Finite Spread of Plastic Zones....Pages 101-121
Front Matter....Pages 123-123
Stochastic Stability of Modes at Rest in Coupled Nonlinear Systems....Pages 125-133
Mean Square Stability and Spectrum Identification of Nonlinear Stochastic Systems....Pages 135-152
Stability of Linear Differential Systems with Parametric Excitation....Pages 153-168
Stochastically Perturbed Bifurcations....Pages 169-180
Lyapunov Exponents of Nonlinear Stochastic Systems....Pages 181-201
Front Matter....Pages 203-203
Random Loading by Large Displacement Chaotic Motions....Pages 205-215
Chaos in Nonlinear Systems Subjected to Small Random Perturbations....Pages 217-228
Front Matter....Pages 229-229
Nonlinear Seismic Response of Reinforced Concrete Frames....Pages 231-242
Bounded Random Oscillations: Model and Numerical Resolution for an Airfoil....Pages 243-251
Front Matter....Pages 253-253
Nonlinear Dynamic Response and System Stochasticity....Pages 255-268
Structural Integrity Under Stochastic Loading in the Area of Small Probabilities....Pages 269-281
Front Matter....Pages 283-283
An Exact Solution of the Fokker-Planck Equation for Nonlinear Random Vibration of a Two-Degree-of-Freedom System....Pages 285-299
Front Matter....Pages 283-283
A Stochastic Model for the Interaction of Plasticity and Creep in Metals....Pages 301-310
Stochastic Analysis of One-Dimensional Nonlinear Wave Processes....Pages 311-320
Front Matter....Pages 321-321
Exact and Approximate Solutions for Response of Nonlinear Systems Under Parametric and External White Noise Excitations....Pages 323-333
Non-Gaussian Response of Nonlinear Oscillators with Fourth-Order Internal Resonance....Pages 335-350
Nonlinear Random Vibrations of Compliant Offshore Platforms....Pages 351-360
Application of Averaging Methods to Randomly Excited Hysteretic Systems....Pages 361-379
Stochastic Averaging of Energy Envelope of Bilinear Hysteretic Systems....Pages 381-391
A Closed Form Solution for a Class of Non-Stationary Nonlinear Random Vibration Problems....Pages 393-403
Front Matter....Pages 405-405
Stochastic Seismic Damage and Reliability Analysis of Hysteretic Structures....Pages 407-418
Mean-Square Response of Hysteretic Oscillators Under Nonstationary Random Excitation....Pages 419-431
Nonlinear and Nonstationary Random Vibration of Hysteretic Systems with Application to Vehicle Dynamics....Pages 433-442
Modal Analysis of Nonlinear Hysteretic Structures for Seismic Motions....Pages 443-454
The Stochastic Response of Strongly Nonlinear Systems with Coulomb Damping Elements....Pages 455-466
Identification of the Hysteresis Parameters of a Nonlinear Vehicle Suspension Under Random Excitation....Pages 467-476
Front Matter....Pages 477-477
On the Solution of Several First Passage Problems in Nonlinear Stochastic Dynamics....Pages 479-492
Nonlinear Random Vibration in Structural Safety and Performance Evaluation....Pages 493-506
Reliability of Nonlinear Infilled Frame Systems with Uncertain Properties Under Random Seismic Loading....Pages 507-515
Statistical Performance Analysis of Nonlinear Joints in Space Structures....Pages 517-526
Back Matter....Pages 527-541

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This symposium is the fifth in a series of IUTAM Symposia on the application of stochastic methods in mechanics. The general theme of this symposium is nonlinear stochastic dynamics of engineering systems. This is believed to be of great importance in 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 identification, offshore structural dynamics, nuclear structures under various stochastic loading conditions (wind, earthquake, parametric excitations, etc.). The contributions collected in this volume cover a wide spectrum ranging from more theoretical, analytical, and numerical treatment to practical application in various fields.
Content:
Front Matter....Pages I-X
Front Matter....Pages 1-1
Accuracy and Limitations of the Method of Equivalent Linearization for Hysteretic Multi-Storey Structures....Pages 3-21
On Equivalent Harmonic and Stochastic Linearization for Nonlinear Shock-Absorbers....Pages 23-32
Approximate Analysis of Limit Cycles in the Presence of Stochastic Excitations....Pages 33-44
The Method of Statistical Linearization for Non-Linear Stochastic Vibrations....Pages 45-56
Statistical Dynamics of Vibroimpact Systems....Pages 57-66
Front Matter....Pages 67-67
Van der Pol’s Oscillator Under Combined Periodic and Random Excitations....Pages 69-85
A Nonlinear System Identification in the Analysis of Offshore Structure Dynamics in Random Waves....Pages 87-100
Nonstationary Random Vibrations of Continuous Inelastic Structures Taking into Account the Finite Spread of Plastic Zones....Pages 101-121
Front Matter....Pages 123-123
Stochastic Stability of Modes at Rest in Coupled Nonlinear Systems....Pages 125-133
Mean Square Stability and Spectrum Identification of Nonlinear Stochastic Systems....Pages 135-152
Stability of Linear Differential Systems with Parametric Excitation....Pages 153-168
Stochastically Perturbed Bifurcations....Pages 169-180
Lyapunov Exponents of Nonlinear Stochastic Systems....Pages 181-201
Front Matter....Pages 203-203
Random Loading by Large Displacement Chaotic Motions....Pages 205-215
Chaos in Nonlinear Systems Subjected to Small Random Perturbations....Pages 217-228
Front Matter....Pages 229-229
Nonlinear Seismic Response of Reinforced Concrete Frames....Pages 231-242
Bounded Random Oscillations: Model and Numerical Resolution for an Airfoil....Pages 243-251
Front Matter....Pages 253-253
Nonlinear Dynamic Response and System Stochasticity....Pages 255-268
Structural Integrity Under Stochastic Loading in the Area of Small Probabilities....Pages 269-281
Front Matter....Pages 283-283
An Exact Solution of the Fokker-Planck Equation for Nonlinear Random Vibration of a Two-Degree-of-Freedom System....Pages 285-299
Front Matter....Pages 283-283
A Stochastic Model for the Interaction of Plasticity and Creep in Metals....Pages 301-310
Stochastic Analysis of One-Dimensional Nonlinear Wave Processes....Pages 311-320
Front Matter....Pages 321-321
Exact and Approximate Solutions for Response of Nonlinear Systems Under Parametric and External White Noise Excitations....Pages 323-333
Non-Gaussian Response of Nonlinear Oscillators with Fourth-Order Internal Resonance....Pages 335-350
Nonlinear Random Vibrations of Compliant Offshore Platforms....Pages 351-360
Application of Averaging Methods to Randomly Excited Hysteretic Systems....Pages 361-379
Stochastic Averaging of Energy Envelope of Bilinear Hysteretic Systems....Pages 381-391
A Closed Form Solution for a Class of Non-Stationary Nonlinear Random Vibration Problems....Pages 393-403
Front Matter....Pages 405-405
Stochastic Seismic Damage and Reliability Analysis of Hysteretic Structures....Pages 407-418
Mean-Square Response of Hysteretic Oscillators Under Nonstationary Random Excitation....Pages 419-431
Nonlinear and Nonstationary Random Vibration of Hysteretic Systems with Application to Vehicle Dynamics....Pages 433-442
Modal Analysis of Nonlinear Hysteretic Structures for Seismic Motions....Pages 443-454
The Stochastic Response of Strongly Nonlinear Systems with Coulomb Damping Elements....Pages 455-466
Identification of the Hysteresis Parameters of a Nonlinear Vehicle Suspension Under Random Excitation....Pages 467-476
Front Matter....Pages 477-477
On the Solution of Several First Passage Problems in Nonlinear Stochastic Dynamics....Pages 479-492
Nonlinear Random Vibration in Structural Safety and Performance Evaluation....Pages 493-506
Reliability of Nonlinear Infilled Frame Systems with Uncertain Properties Under Random Seismic Loading....Pages 507-515
Statistical Performance Analysis of Nonlinear Joints in Space Structures....Pages 517-526
Back Matter....Pages 527-541
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