Arvid Naess - Academia.edu (original) (raw)
Papers by Arvid Naess
IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics : proceedings of the IUTAM Symposium held in Trondheim, Norway, 3-7 July 1995
Kluwer Academic Publishers eBooks, 1996
Experimental Random Excitation of Nonlinear Systems with Multiple Internal Resonances A.A. Afaneh... more Experimental Random Excitation of Nonlinear Systems with Multiple Internal Resonances A.A. Afaneh, R.A. Ibrahim. Stochastic Stability of Viscoelastic Systems under Bounded Noise Excitation S.T. Ariaratnam. Fixed Points and Attractors for Random Dynamical Systems L. Arnold, B. Schmalfuss. Nonlinear Wave Propagation in Complex Structures Modelled by Random Media with Self-Stresses A.K. Belyaev, et al. Stochastic Linearization and Large Deviations P. Bernard. Meandering Propagation of Fatigue Cracks Through Solids with Randomly Distributed Properties V.V. Bolotin. The Study of Bifurcations Through the Solution of the Fokker-Planck Equation F. Bontempi, L. Faravelli. Spectral Response of a Beam-Stop System under Random Excitation R. Bouc, M. Defilippi. Higher Order Approximations for Maxima of Random Fields K. Breitung. Extension of the Stochastic Differential Calculus to Complex Processes S. Caddemi, G. Muscolino. Response of a Hysteretic System under Non-Stationary Earthquake Excitation: G.Q. Cai, Y.K. Lin. Nonlinear Active Control and Stochastic Excitation F. Casciati. Viscoplastic Responses with Stochastic Q-Damping For Soil G. Dasgupta. Gaussian White Noise Excited Elasto-Plastic Oscillator of Several Degrees of Freedom O. Ditlevsen, S. Randrup-Thomsen. Fatigue Crack Growth Under Stochastic Loading K. Dolinski, P. Colombi. Small Noise Expansion of Moment Lyapunov Exponents of Two-Dimensional Systems M.M. Doyle, et al. Non-Perturbative FEM for Deterministic and Stochastic Beams Through Inverse of Stiffness Matrix I. Elishakoff, et al. Strength and Serviceability Requirements in Seismic Deign Using Nonlinear SFEM L. Gao, et al. Parametric Models and Stochastic Integrals M. Grigoriu. Stochastic Response of Irregular Tracks under Moving Vehicles R.N. Iyengar, O.R. Jaiswal. Monte Carlo Simulation of Dynamical Systems of Engineering Interest in a Massively Parallel Computing Environment: An Application of Genetic Algorithms E.A. Johnson, et al. Stochastic Response of Coupled Platform-Tether System under Multi-Directional Seas A. Kareem, X. Song. Optimal Control Problems for Nonlinear Oscillatory Systems with Random Perturbations A.S. Kovaleva. Stochastic Dynamics of Nonlinear Structures with Random Properties Subject to Stationary Random Excitation H.U. Koyluoglu, et al. Wind Field Coherence and Dynamic Wind Forces S. Krenk. Wave Propagation Through Randomly Disordered Near-Periodic Structures R.S. Langley. Harmonic Response Analysis of Stochastic Rods Using Spatial Stochastic Averaging C.S. Manohar, B.R. Shashirekha. Ship Capsizing in Random Sea Waves and the Mathematical Pendulum N.K. Moshchuk, et al. Random Vibration of Ship Hulls A. Naess. Stochastic Response of a System with Space Imperfections under Moving Load J. Naprstek, L. Fryba. Moment Equations for Non-Linear Systems under Renewal-Driven Random Impulses with Gamma-Distributed Interarrival Times S.R.K. Nielsen, et al (Part contents).
Model Tests in Waves of Oil Booms in Catenary Configuration
Response Statistics
Cambridge University Press eBooks, Feb 5, 2013
Ocean Engineering, Aug 1, 2019
As one of the key met-ocean environmental loads affecting underwater structural design, current i... more As one of the key met-ocean environmental loads affecting underwater structural design, current is closely related to the failure process of underwater structures such as moorings and risers. In marine structural analysis, a current model depends mainly on its speed profile corresponding to the design criterion. The conventional model of the current speed extreme (CSE) profile ignores the interlayer correlation and renders the current profile model conservative. This study is focused on the analysis of a current profile model aimed at the strength and dynamic design of underwater structures with special consideration of the interlayer correlation based on the long-term prototype measured data in the "Liuhua" oil field in the South China Sea. For the current model related to strength design, an empirical orthogonal function (EOF) decomposition is first utilized for dimensional reduction. Then, the multi-dimensional extreme-value problem is converted into an inverse reliability problem. The inverse second-order reliability method (ISORM) is applied to update the reliability index for an optimal solution. The global energy for different multi-year return periods is treated as objective functions to determine the extreme-value profiles corresponding to strength design of underwater structures. For the current model related to dynamic design, a statistical classification method based on the clustering large application algorithm (CLARA) is performed to obtain a multi-profile current model by using a large long-term prototype monitoring current dataset. An average silhouette width is found and used to determine the final classification number. Finally, a multi-profile current model is established for the underwater structural dynamic design. The presented current models can be directly applied as the current loads for underwater structural design in the South China Sea. Moreover, besides the possibility to extend the proposed method to other ocean areas, it can also be used for developing models of wind, acoustic, and other field variables.
The Effect of Correlation on the Prediction of Extreme Values
Recent Advances in Engineering Mechanics and Their Impact on Civil Engineering Practice, 1983
Solid mechanics and its applications, 1996
Statistics for Nonlinear Problems
Cambridge University Press eBooks, Feb 5, 2013
Variance Spectrum
Cambridge University Press eBooks, Feb 5, 2013
Journal of Petroleum Technology, Jun 1, 1980
Response of a Rotating Shaft to Uniaxial Random Excitation
Journal of Applied Mechanics, May 9, 2012
Random vibrations are considered for a Jeffcott rotor subject to uniaxial broadband random excita... more Random vibrations are considered for a Jeffcott rotor subject to uniaxial broadband random excitation by a lateral force along one of its transverse axes. Exact analytical solution for mean square responses is obtained which provide quantitative description of two effects: the magnification of mean square whirl radius due to rotation; and the increasing mean square response along the nonexcited direction with increasing rotation speed, that is, the spread of vibration to all directions around the shaft. The latter effect clearly corresponds to the approaching forward whirl of the shaft approaching its instability threshold; it can be used for the on-line evaluation of the rotor’s stability margin from the simple processing of its measured response signals as demonstrated by direct numerical simulation.
Modelling of the Dynamic Behaviour of Damaged Platforms by Time Simulation Methods and Model Tests
Some aspects of the dynamic response in waves of a heavily listed, semisubmersible platform are d... more Some aspects of the dynamic response in waves of a heavily listed, semisubmersible platform are discussed. Specifically, some of the results from an extensive set of model tests on the safety against capsizing of a damaged platform are presented. It is pointed out that the equations of motion are inherently nonlinear for certain list/draught conditions. In such cases time simulation methods are used to make predictions of the dynamic response. The results from such numerical predictions are compared with model test results. .
International Journal of Offshore and Polar Engineering, Sep 1, 2021
Current loads are key environment loads in offshore engineering. In this paper, the empirical ort... more Current loads are key environment loads in offshore engineering. In this paper, the empirical orthogonal function (EOF) and the average conditional exceedance rate (ACER) methods are used to develop the extreme prediction of current speed profile with different current directions. The modes in each directional profile are calculated by EOF decomposition, and a simplified model of current profile in each direction is established. Finally, directional extreme profiles are obtained, and the influence of parameter selection during calculation is also discussed. *ISOPE Member; †Corresponding author.
Random Vibration of a Hysteretic Oscillator
Probabilistic Mechanics and Structural Reliability, 1996
The Path Integral Solution Technique Applied to the Random Vibration of Hysteretic Systems
Springer eBooks, 1991
In the paper the path integral solution technique will be described. It is shown how this solutio... more In the paper the path integral solution technique will be described. It is shown how this solution technique can be exploited to provide estimates of the response statistics of nonlinear single-degree-of-freedom dynamic systems excited by white noise or even filtered white noise. The solution technique is singularly well suited to deal with nonlinear systems as there are apparently few limitations on the kind of nonlinearities that can be accomodated. In this paper emphasis is given to the random vibration of hysteretic systems.
Response statistics of van der Pol oscillators excited by white noise
Nonlinear Dynamics, Apr 1, 1994
The joint probability density function of the state space vector of a white noise exoited van der... more The joint probability density function of the state space vector of a white noise exoited van der Pol oscillator satisfics a Fokker-Planck-Kolmogorov (FPK) equation. The paper describes a numerical procedure for solving the transient FPK equation based on the path integral solution (PIS) technique. It is shown that by combining the PIS with a cubic B-spline interpolation method, numerical solution
The Statistics of Springing Response of a TLP
The paper investigates TLP springing response statistics. It is assumed that the hydrodynamic spr... more The paper investigates TLP springing response statistics. It is assumed that the hydrodynamic springing excitation is provided by second-order, sum-frequency (potential) wave forces. A brief investigation of coupling mechanisms that may contribute to springing excitation loads is carried out. It is indicated that these coupling effects in many cases have only a minor to negligible influence on the springing motions of the TLP. Springing response statistics of specific examples are presented. With the adopted assumptions, it is shown that the springing response is distinctly non-Gaussian.
Monte Carlo Methods for Estimating the Extreme Response of Dynamical Systems
Journal of Engineering Mechanics-asce, Aug 1, 2008
... (2007). Clustering effects on the extreme response statistics for dynamical systems. Proc.,... more ... (2007). Clustering effects on the extreme response statistics for dynamical systems. Proc., 5th Int. ... (2007). An importance sampling procedure for estimating failure probabilities of nonlinear dynamic systems subjected to random noise. Int. J. Non-Linear Mech., 42, 848863. ...
Ocean Engineering, Nov 1, 2007
The paper describes a novel approach to the problem of estimating the extreme response statistics... more The paper describes a novel approach to the problem of estimating the extreme response statistics of a drag-dominated offshore structure exhibiting a pronounced dynamic behaviour when subjected to harsh weather conditions. It is shown that the key quantity for extreme response prediction is the mean upcrossing rate function, which can be simply extracted from simulated response time histories. A commonly adopted practice for obtaining adequate extremes for design purposes requires the execution of 20 or more 3-h time domain analyses for several extreme sea states. For early phase considerations, it would be convenient if extremes of a reasonable accuracy could be obtained based on shorter and fewer simulations. The aim of the work reported in the present paper has therefore been to develop specific methods which make it possible to extract the necessary information about the extreme response from relatively short time histories. The method proposed in this paper opens up the possibility to predict simply and efficiently both short-term and long-term extreme response statistics. The results presented are based on extensive simulation results for the Kvitebjørn jacket structure, in operation on the Norwegian Continental Shelf. Specifically, deck response time histories for different sea states simulated from an MDOF model were used as the basis for our analyses.
Integrals
Stochastic Dynamics of Marine Structures
Frontiers in Mechanical Engineering, Jul 4, 2022
Extreme value prediction of the load-effect responses of complex offshore structures such as the ... more Extreme value prediction of the load-effect responses of complex offshore structures such as the floating wind turbine (FWT) is crucial in ultimate limit state (ULS) design. This paper considers two cases to understand the feasibility of the bivariate correction on the extreme load and motion responses of a 10-MW semi-submersible type FWT. The empirical anchor tension force and surge motion used in this study are obtained from the FAST simulation tool (developed by the National Renewable Energy Laboratory) with the load cases stimulated at underrated , rated and above rated speeds. Then, the bivariate correction method is applied to model FWT extreme response for a 5-years return period prediction with a 95% confidence interval (CI), based on just 2 min short response record. The proposed methodology permits accurate correction of the bivariate extreme value in case of, for example, corrupted measurement sensor data. Based on the proposed novel method's performance, it is concluded that the bivariate correction method can offer better robust and precise bivariate predictions of coupled surge motion and anchor tension of the FWT.
IUTAM Symposium on Advances in Nonlinear Stochastic Mechanics : proceedings of the IUTAM Symposium held in Trondheim, Norway, 3-7 July 1995
Kluwer Academic Publishers eBooks, 1996
Experimental Random Excitation of Nonlinear Systems with Multiple Internal Resonances A.A. Afaneh... more Experimental Random Excitation of Nonlinear Systems with Multiple Internal Resonances A.A. Afaneh, R.A. Ibrahim. Stochastic Stability of Viscoelastic Systems under Bounded Noise Excitation S.T. Ariaratnam. Fixed Points and Attractors for Random Dynamical Systems L. Arnold, B. Schmalfuss. Nonlinear Wave Propagation in Complex Structures Modelled by Random Media with Self-Stresses A.K. Belyaev, et al. Stochastic Linearization and Large Deviations P. Bernard. Meandering Propagation of Fatigue Cracks Through Solids with Randomly Distributed Properties V.V. Bolotin. The Study of Bifurcations Through the Solution of the Fokker-Planck Equation F. Bontempi, L. Faravelli. Spectral Response of a Beam-Stop System under Random Excitation R. Bouc, M. Defilippi. Higher Order Approximations for Maxima of Random Fields K. Breitung. Extension of the Stochastic Differential Calculus to Complex Processes S. Caddemi, G. Muscolino. Response of a Hysteretic System under Non-Stationary Earthquake Excitation: G.Q. Cai, Y.K. Lin. Nonlinear Active Control and Stochastic Excitation F. Casciati. Viscoplastic Responses with Stochastic Q-Damping For Soil G. Dasgupta. Gaussian White Noise Excited Elasto-Plastic Oscillator of Several Degrees of Freedom O. Ditlevsen, S. Randrup-Thomsen. Fatigue Crack Growth Under Stochastic Loading K. Dolinski, P. Colombi. Small Noise Expansion of Moment Lyapunov Exponents of Two-Dimensional Systems M.M. Doyle, et al. Non-Perturbative FEM for Deterministic and Stochastic Beams Through Inverse of Stiffness Matrix I. Elishakoff, et al. Strength and Serviceability Requirements in Seismic Deign Using Nonlinear SFEM L. Gao, et al. Parametric Models and Stochastic Integrals M. Grigoriu. Stochastic Response of Irregular Tracks under Moving Vehicles R.N. Iyengar, O.R. Jaiswal. Monte Carlo Simulation of Dynamical Systems of Engineering Interest in a Massively Parallel Computing Environment: An Application of Genetic Algorithms E.A. Johnson, et al. Stochastic Response of Coupled Platform-Tether System under Multi-Directional Seas A. Kareem, X. Song. Optimal Control Problems for Nonlinear Oscillatory Systems with Random Perturbations A.S. Kovaleva. Stochastic Dynamics of Nonlinear Structures with Random Properties Subject to Stationary Random Excitation H.U. Koyluoglu, et al. Wind Field Coherence and Dynamic Wind Forces S. Krenk. Wave Propagation Through Randomly Disordered Near-Periodic Structures R.S. Langley. Harmonic Response Analysis of Stochastic Rods Using Spatial Stochastic Averaging C.S. Manohar, B.R. Shashirekha. Ship Capsizing in Random Sea Waves and the Mathematical Pendulum N.K. Moshchuk, et al. Random Vibration of Ship Hulls A. Naess. Stochastic Response of a System with Space Imperfections under Moving Load J. Naprstek, L. Fryba. Moment Equations for Non-Linear Systems under Renewal-Driven Random Impulses with Gamma-Distributed Interarrival Times S.R.K. Nielsen, et al (Part contents).
Model Tests in Waves of Oil Booms in Catenary Configuration
Response Statistics
Cambridge University Press eBooks, Feb 5, 2013
Ocean Engineering, Aug 1, 2019
As one of the key met-ocean environmental loads affecting underwater structural design, current i... more As one of the key met-ocean environmental loads affecting underwater structural design, current is closely related to the failure process of underwater structures such as moorings and risers. In marine structural analysis, a current model depends mainly on its speed profile corresponding to the design criterion. The conventional model of the current speed extreme (CSE) profile ignores the interlayer correlation and renders the current profile model conservative. This study is focused on the analysis of a current profile model aimed at the strength and dynamic design of underwater structures with special consideration of the interlayer correlation based on the long-term prototype measured data in the "Liuhua" oil field in the South China Sea. For the current model related to strength design, an empirical orthogonal function (EOF) decomposition is first utilized for dimensional reduction. Then, the multi-dimensional extreme-value problem is converted into an inverse reliability problem. The inverse second-order reliability method (ISORM) is applied to update the reliability index for an optimal solution. The global energy for different multi-year return periods is treated as objective functions to determine the extreme-value profiles corresponding to strength design of underwater structures. For the current model related to dynamic design, a statistical classification method based on the clustering large application algorithm (CLARA) is performed to obtain a multi-profile current model by using a large long-term prototype monitoring current dataset. An average silhouette width is found and used to determine the final classification number. Finally, a multi-profile current model is established for the underwater structural dynamic design. The presented current models can be directly applied as the current loads for underwater structural design in the South China Sea. Moreover, besides the possibility to extend the proposed method to other ocean areas, it can also be used for developing models of wind, acoustic, and other field variables.
The Effect of Correlation on the Prediction of Extreme Values
Recent Advances in Engineering Mechanics and Their Impact on Civil Engineering Practice, 1983
Solid mechanics and its applications, 1996
Statistics for Nonlinear Problems
Cambridge University Press eBooks, Feb 5, 2013
Variance Spectrum
Cambridge University Press eBooks, Feb 5, 2013
Journal of Petroleum Technology, Jun 1, 1980
Response of a Rotating Shaft to Uniaxial Random Excitation
Journal of Applied Mechanics, May 9, 2012
Random vibrations are considered for a Jeffcott rotor subject to uniaxial broadband random excita... more Random vibrations are considered for a Jeffcott rotor subject to uniaxial broadband random excitation by a lateral force along one of its transverse axes. Exact analytical solution for mean square responses is obtained which provide quantitative description of two effects: the magnification of mean square whirl radius due to rotation; and the increasing mean square response along the nonexcited direction with increasing rotation speed, that is, the spread of vibration to all directions around the shaft. The latter effect clearly corresponds to the approaching forward whirl of the shaft approaching its instability threshold; it can be used for the on-line evaluation of the rotor’s stability margin from the simple processing of its measured response signals as demonstrated by direct numerical simulation.
Modelling of the Dynamic Behaviour of Damaged Platforms by Time Simulation Methods and Model Tests
Some aspects of the dynamic response in waves of a heavily listed, semisubmersible platform are d... more Some aspects of the dynamic response in waves of a heavily listed, semisubmersible platform are discussed. Specifically, some of the results from an extensive set of model tests on the safety against capsizing of a damaged platform are presented. It is pointed out that the equations of motion are inherently nonlinear for certain list/draught conditions. In such cases time simulation methods are used to make predictions of the dynamic response. The results from such numerical predictions are compared with model test results. .
International Journal of Offshore and Polar Engineering, Sep 1, 2021
Current loads are key environment loads in offshore engineering. In this paper, the empirical ort... more Current loads are key environment loads in offshore engineering. In this paper, the empirical orthogonal function (EOF) and the average conditional exceedance rate (ACER) methods are used to develop the extreme prediction of current speed profile with different current directions. The modes in each directional profile are calculated by EOF decomposition, and a simplified model of current profile in each direction is established. Finally, directional extreme profiles are obtained, and the influence of parameter selection during calculation is also discussed. *ISOPE Member; †Corresponding author.
Random Vibration of a Hysteretic Oscillator
Probabilistic Mechanics and Structural Reliability, 1996
The Path Integral Solution Technique Applied to the Random Vibration of Hysteretic Systems
Springer eBooks, 1991
In the paper the path integral solution technique will be described. It is shown how this solutio... more In the paper the path integral solution technique will be described. It is shown how this solution technique can be exploited to provide estimates of the response statistics of nonlinear single-degree-of-freedom dynamic systems excited by white noise or even filtered white noise. The solution technique is singularly well suited to deal with nonlinear systems as there are apparently few limitations on the kind of nonlinearities that can be accomodated. In this paper emphasis is given to the random vibration of hysteretic systems.
Response statistics of van der Pol oscillators excited by white noise
Nonlinear Dynamics, Apr 1, 1994
The joint probability density function of the state space vector of a white noise exoited van der... more The joint probability density function of the state space vector of a white noise exoited van der Pol oscillator satisfics a Fokker-Planck-Kolmogorov (FPK) equation. The paper describes a numerical procedure for solving the transient FPK equation based on the path integral solution (PIS) technique. It is shown that by combining the PIS with a cubic B-spline interpolation method, numerical solution
The Statistics of Springing Response of a TLP
The paper investigates TLP springing response statistics. It is assumed that the hydrodynamic spr... more The paper investigates TLP springing response statistics. It is assumed that the hydrodynamic springing excitation is provided by second-order, sum-frequency (potential) wave forces. A brief investigation of coupling mechanisms that may contribute to springing excitation loads is carried out. It is indicated that these coupling effects in many cases have only a minor to negligible influence on the springing motions of the TLP. Springing response statistics of specific examples are presented. With the adopted assumptions, it is shown that the springing response is distinctly non-Gaussian.
Monte Carlo Methods for Estimating the Extreme Response of Dynamical Systems
Journal of Engineering Mechanics-asce, Aug 1, 2008
... (2007). Clustering effects on the extreme response statistics for dynamical systems. Proc.,... more ... (2007). Clustering effects on the extreme response statistics for dynamical systems. Proc., 5th Int. ... (2007). An importance sampling procedure for estimating failure probabilities of nonlinear dynamic systems subjected to random noise. Int. J. Non-Linear Mech., 42, 848863. ...
Ocean Engineering, Nov 1, 2007
The paper describes a novel approach to the problem of estimating the extreme response statistics... more The paper describes a novel approach to the problem of estimating the extreme response statistics of a drag-dominated offshore structure exhibiting a pronounced dynamic behaviour when subjected to harsh weather conditions. It is shown that the key quantity for extreme response prediction is the mean upcrossing rate function, which can be simply extracted from simulated response time histories. A commonly adopted practice for obtaining adequate extremes for design purposes requires the execution of 20 or more 3-h time domain analyses for several extreme sea states. For early phase considerations, it would be convenient if extremes of a reasonable accuracy could be obtained based on shorter and fewer simulations. The aim of the work reported in the present paper has therefore been to develop specific methods which make it possible to extract the necessary information about the extreme response from relatively short time histories. The method proposed in this paper opens up the possibility to predict simply and efficiently both short-term and long-term extreme response statistics. The results presented are based on extensive simulation results for the Kvitebjørn jacket structure, in operation on the Norwegian Continental Shelf. Specifically, deck response time histories for different sea states simulated from an MDOF model were used as the basis for our analyses.
Integrals
Stochastic Dynamics of Marine Structures
Frontiers in Mechanical Engineering, Jul 4, 2022
Extreme value prediction of the load-effect responses of complex offshore structures such as the ... more Extreme value prediction of the load-effect responses of complex offshore structures such as the floating wind turbine (FWT) is crucial in ultimate limit state (ULS) design. This paper considers two cases to understand the feasibility of the bivariate correction on the extreme load and motion responses of a 10-MW semi-submersible type FWT. The empirical anchor tension force and surge motion used in this study are obtained from the FAST simulation tool (developed by the National Renewable Energy Laboratory) with the load cases stimulated at underrated , rated and above rated speeds. Then, the bivariate correction method is applied to model FWT extreme response for a 5-years return period prediction with a 95% confidence interval (CI), based on just 2 min short response record. The proposed methodology permits accurate correction of the bivariate extreme value in case of, for example, corrupted measurement sensor data. Based on the proposed novel method's performance, it is concluded that the bivariate correction method can offer better robust and precise bivariate predictions of coupled surge motion and anchor tension of the FWT.