Two methods for sensitivity analysis of coagulation processes in population balances by a Monte Carlo method

2006 ◽  
Vol 61 (15) ◽  
pp. 4966-4972 ◽  
Author(s):  
Alexander Vikhansky ◽  
Markus Kraft
Keyword(s):  
Sensitivity Analysis ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Population Balances

Model Validation: Model Parameter and Measurement Uncertainty

2005 ◽  
Vol 128 (4) ◽  
pp. 339-351 ◽  
Author(s):  
Richard G. Hills
Keyword(s):  
Experimental Data ◽  
Sensitivity Analysis ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Model Validation ◽  
Full Range ◽  
Correlated Data ◽  
Model Parameter ◽  
Test Models ◽  
Model Parameter Uncertainty

Our increased dependence on complex models for engineering design, coupled with our decreased dependence on experimental observation, leads to the question: How does one know that a model is valid? As models become more complex (i.e., multiphysics models), the ability to test models over the full range of possible applications becomes more difficult. This difficulty is compounded by the uncertainty that is invariably present in the experimental data used to test the model; the uncertainties in the parameters that are incorporated into the model; and the uncertainties in the model structure itself. Here, the issues associated with model validation are discussed and methodology is presented to incorporate measurement and model parameter uncertainty in a metric for model validation through a weighted r2 norm. The methodology is based on first-order sensitivity analysis coupled with the use of statistical models for uncertainty. The result of this methodology is compared to results obtained from the more computationally expensive Monte Carlo method. The methodology was demonstrated for the nonlinear Burgers’ equation, the convective-dispersive equation, and for conduction heat transfer with contact resistance. Simulated experimental data was used for the first two cases, and true experimental data was used for the third. The results from the sensitivity analysis approach compared well with those for the Monte Carlo method. The results show that the metric presented can discriminate between valid and invalid models. The metric has the advantage that it can be applied to multivariate, correlated data.

Probability and Sensitivity Analysis of Plate

2014 ◽  
Vol 617 ◽  
pp. 193-196 ◽  
Author(s):  
Katarina Tvrdá
Keyword(s):  
Sensitivity Analysis ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Flat Plate ◽  
Concrete Structures ◽  
Probability Analysis ◽  
Triangular Distribution ◽  
High Quality ◽  
Input Parameters ◽  
Concrete Solution

This paper deals with some problems of the ceiling plate, made of the Cobiax-system. Cobiax provides a system to produce voided, biaxial, flat plate slabs as a high-quality concrete solution for large spans and slim slabs. Plastic voids in the shape of spheres or flattened spheres are contained in steel cages and put into concrete structures to create longer spans and reduce vertical loads. The presented plate is made of cobiax balls with a diameter of 27 cm located outside the area of columns. Probability analysis of Monte-Carlo method in Ansys is presented. Input parameters are changing according to Gauss or triangular distribution.

Sensitivity Analysis of Manufacture Errors for Cable Dome

2010 ◽  
Vol 163-167 ◽  
pp. 822-827
Author(s):  
Jian Hua Zhang ◽  
Zhen Qing Wang ◽  
Yi Gang Zhang
Keyword(s):  
Sensitivity Analysis ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Numerical Model ◽  
Practical Problem ◽  
Structural Performance ◽  
Random Errors ◽  
Cable Length ◽  
Radial Bearing ◽  
Cable Dome

Construction control is the key technique for cable dome. During the actual engineering, however, it is difficult to ensure no difference between the real prestress distribution and the designed value due to existed construction errors. The practical problem for cable dome construction is to determine how much is allowable errors limit. To solve the problem, sensitivity analysis of manufacture errors of bearing and cable length are carried out in this paper. The random errors are simulated by Monte Carlo method. In a numerical model of cable dome with the diameter of 62m, the sensitivity of effect of bearing and cable length manufacture errors on structural performance is analyzed. Numerical results show that the manufacture errors of radial bearing, hoop cable 2, ridge cable 3, diagonal cable 3 and hoop cable 1 should be strictly controlled. Besides, the maximum allowable errors are proposed referring to the domestic existing specifications.

Strength Reliability Analyses for Bus Body Frames Based on Monte Carlo Method

2011 ◽  
Vol 179-180 ◽  
pp. 563-568
Author(s):  
Da Qian Zhang ◽  
Tian Xia Zhang ◽  
Wei Tao Zhao ◽  
Wei Ping Zhang
Keyword(s):  
Sensitivity Analysis ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Static Analysis ◽  
Structural Reliability ◽  
Random Variables ◽  
Geometrical Parameters ◽  
Body Frame ◽  
Performance Function ◽  
Bus Body

Compared with traditional deterministic structural static analysis, it is more practical that strength reliability analyses for bus body frames involving uncertainties in material and in geometrical parameters. In this paper, basic theories of structural reliability combined with bus driving characteristics, the concept of strength reliability for bus body frames and calculation method based Monte Carlo method are proposed. The formula of sensitivity of performance function to random variables is derived. Strength reliability figured for a bus body frame is 0.999626851 in the case of running with uniform velocity. Main random variables which effect on strength reliability are found via sensitivity analysis. All of works done can be applied to bus body frame designs based reliability.

Effect of Influential Factors on the Reliability of the Mechanical Behavior of a Composite Plate Holes Fatigue Loaded

2013 ◽  
Vol 682 ◽  
pp. 161-167
Author(s):  
C. Bouraoui ◽  
Med. Bouassaadia ◽  
R. Ben Sghaier ◽  
Moussa Karama
Keyword(s):  
Sensitivity Analysis ◽  
Monte Carlo ◽  
Monte Carlo Method ◽  
Cyclic Loading ◽  
Composite Plate ◽  
Influential Factors ◽  
Geometrical Parameters ◽  
Composite Component ◽  
Fiber Volume ◽  
The Monte Carlo Method

This work presents a sensitivity analysis of mechanical and geometrical parameters on a composite component under a cyclic loading. A design of experiments approach has been used. This study in improved by a reliability approach where the scatterings of all the characteristic properties are taken into account. The Monte Carlo method where used to compute the reliability. An application has been carried out on a composite rectangular plate with a hole in its center. Where a useful surface responses diagrams of the reliability are determined. A significant nonlinear effect of the fiber volume faction is observed on the behaviors reliability with no significant interactions effect with the others factors.

Sign in / Sign up

Export Citation Format

Share Document