Application of Physical Laws to Parameter Estimation for Probabilistic Models of Cumulative Damage
In this initial paper we will discuss the development of the application of physical laws to the modeling of cumulative damage and particular to crack growths. The basic assumptions due...
Integrating Expert Opinion for Assessing Structural Performance
Many experts use linguistic values when expressing their judgment on structural performance. The concept of fuzzy sets is used in this paper to obtain consistent measures of values provided...
Spectral Distribution Free Bounds on the Response Variability of Stochastic Systems
A methodology to analytically and numerically evaluate the spectral distribution-free upper bounds of the response variability of stochastic systems is developed. The structural systems...
Some Insight in Autoregressive (AR) Spectral Modeling
The difficulties associated with the determination of reliable autoregressive (AR) approximations of the Pierson-Moskowitz and Davenport spectra are examined from the standpoint of developing...
Structural Reliability Assessment Using Latin Hypercube Sampling
Many methods have been proposed for structural reliability assessment purposes, such as the First-Order Second-Moment Method, the Advanced Second-Moment Method, computer simulation, etc....
A New Approximate Solution Technique for Random Vibration of Hysteretic Systems
Approximate probability densities are obtained for the response of hysteretic systems under Gaussian white-noise excitations. The method of analysis is applicable to either bilinear or...
Response and Reliability Analysis of Duffing Oscillators Subject to Narrow Band Stationary Gaussian Excitations
Methods are developed for estimating the probability of oscillations on the lower and upper stable branches of the input-output amplitude relationship for a Duffing oscillator subject...
Envelope Crossing Rate and First Passage Probability
Various definitions of the envelope of a random response process are discussed. The statistical properties of the random envelope process based on these definitions are then derived and...
Mean Square Stability of Linear Gyroscopic Systems Under Combined Harmonic and Stochastic Excitations
This paper examines the mean square stability of linear gyroscopic systems under both harmonic and stochastic parametric excitations. The intensities of both excitations and correlation...
Analysis of Nonstationary Random Vibrations
Nonstationary random vibrations occur in structural mechanics as well as in vehicle dynamics. Very often the nonstationary excitation process can be modelled as stationary white or colored...
A Comparison of Different Mathematical Models for the Spatial Correlation of Distributed Excitation Forces
This paper contains an investigation of the transverse vibrations of EULER-BERNOULLI beams under longitudinal tension and random space-time loading. Using GREEN's function...
Higher Moments Descriptions of Uncertain Quantities in the Analysis of Structural Components
Maximum-entropy and asymptotic models for probability densities with application to the uncertain behavior of a structural component are considered. In particular, they are studied with...
Experience in Model Adjustment by Parameter Estimation Methods
If the computational model is uncertain and if measured data of the system exist, system identification approaches lead to an improved computational model with known confidence. After...
Active Control of Structures Under Stochastic Base Excitation with a Predominant Frequency
Active control of structures under stochastic base excitation is investigated. The synthesis of an active control system discussed in the study is based on the use of stochastic control...
Potential Applicability of Mathematical Statistics in Stochastic Modelling of Failure Phenomena
Failure phenomena should be investigated clearly with a good understanding of engineering uncertainties associated with strength of the material as well as randomly applied load. In this...
Fatigue Reliability of Components Containing Microstructural Flaws
A probabilistic crack growth model is presented in which the different stages of crack growth including the small crack regime are taken into account. The microstructural parameter determining...
Probabilistic Analysis of the Ghonem and Dore Data
A two-state Markov process model for fatigue crack growth is utilized with experimental fatigue crack growth data reported by H. Ghonem and S. Dore to study the effect of stress ratio...
Diffusion Models of Fatigue Crack Growth with Sequence Effects Due to Stationary Random Loads
A new fatigue crack growth model that includes load sequence effects is formulated. This model includes a load history dependent parameter, the reset stress, which reflects the state of...
Objective Comparison of Fatigue Crack Growth Laws
This paper presents objective criteria for choosing between different fatigue crack growth laws to represent a material's fatigue behavior based on a data set containing multiple...
Open World Problems in Structural Reliability
A closed world model represents total knowledge about everything in a particular system. An open world model represents partial knowledge where some things are known to be true, some are...
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