Probabilistic analysis of predicted and measured settlements

1977 ◽  
Vol 14 (1) ◽  
pp. 17-33 ◽  
Author(s):  
Raymond J. Krizek ◽  
Ross B. Corotis ◽  
Houssam H. El-Moursi
Keyword(s):  
Test Data ◽  
Probabilistic Models ◽  
Probabilistic Approach ◽  
Clay Layer ◽  
Time Rate ◽  
Normal Distributions ◽  
Total Settlement ◽  
Soil Compressibility ◽  
Log Normal ◽  
Penetration Tests

The methods of probability theory are used to develop probabilistic models for predicting the total settlement (based on either consolidation test data or the results of standard penetration tests) and the time rate of settlement for a compressible clay layer in terms of uncertain values for soil compressibility and loads. The total settlement and the time rate of settlement are well approximated by log-normal distributions. Results calculated by use of the probabilistic approach are compared with settlement values measured in a well documented case history with good supporting laboratory test data.

Log-normal distributions in parasitology

1984 ◽  
Vol 93 (6) ◽  
pp. 591-598 ◽  
Author(s):  
Sandeep K Malhotra
Keyword(s):  
Normal Distributions ◽  
Log Normal

A Probabilistic Approach to Engine Balance

1999 ◽  
Vol 122 (4) ◽  
pp. 526-532 ◽  
Author(s):  
Dinu Taraza
Keyword(s):  
Internal Combustion Engines ◽  
Probabilistic Approach ◽  
Rayleigh Distribution ◽  
Statistical Characteristics ◽  
Balance Model ◽  
Combustion Engines ◽  
Normal Distributions ◽  
First Order ◽  
Rayleigh Law ◽  
Manufacturing Tolerances

The paper presents an original probabilistic model of the balance of internal combustion engines. The model considers the manufacturing tolerances and predicts the most probable value of the first-order residual unbalance for engines that—theoretically—have the first order forces and moments balanced. It has been found that, assuming normal distributions of the geometric and mass parameters of the reciprocating mechanisms of a multicylinder engine, the unbalancing forces and moments are statistically distributed according to a Rayleigh law. The mode of the Rayleigh distribution, which represents the most probable value of the residual unbalance, is expressed in terms of the statistical characteristics of the parameters subjected to manufacturing tolerances. In this way, the tolerances and, especially the ones admitted for the reciprocating masses, are directly correlated to the expected value of the residual unbalance making it possible to establish reasonable limits for these tolerances. Validation of the probabilistic balance model is demonstrated by computer simulation. [S0742-4795(00)01704-X]

scholarly journals Influence of pore water pressure change on consolidation behavior of saturated poroelastic medium

2020 ◽  
Vol 382 ◽  
pp. 375-379
Author(s):  
Chao-Lung Yeh ◽  
Wei-Cheng Lo ◽  
Cheng-Wei Lin ◽  
Chung-Feng Ding
Keyword(s):  
Pore Water ◽  
Pore Water Pressure ◽  
Saturated Porous Medium ◽  
Water Pressure ◽  
Soil Layer ◽  
Pressure Change ◽  
Clay Layer ◽  
Poroelastic Medium ◽  
Total Settlement ◽  
Consolidation Behavior

Abstract. There are many factors causing land subsidence, and groundwater extraction is one of the most important causes of subsidence. A set of coupled partial differential equations are derived in this study by using the poro-elasticity theory and linear stress-strain constitutive relation to describe the one-dimensional consolidation in a saturated porous medium subjected to pore water pressure change due to groundwater table depression. Simultaneously, the closed-form analytical solutions for excess pore water pressure and total settlement are obtained. To illustrate the consolidation behavior of the poroelastic medium, the saturated layer of clay sandwiched between two sand layers is simulated, and the dimensionless pore water pressure changes with depths and the dimensionless total settlement as function of time in the clay layer are examined. The results show that the greater the water level change in the upper and lower sand layers, the greater the pore water pressure change and the total settlement of the clay layer, and the more time it takes to reach the steady state. If the amount of groundwater replenishment is increased, the soil layer will rebound.

A Study on the Degradation of Coating and Corrosion of Ship’s Hull Based on the Probabilistic Approach

1998 ◽  
Vol 120 (3) ◽  
pp. 121-128 ◽  
Author(s):  
N. Yamamoto ◽  
K. Ikegami
Keyword(s):  
Probabilistic Models ◽  
Plate Thickness ◽  
Probabilistic Approach ◽  
Actual Data ◽  
General Corrosion ◽  
Corrosion Model ◽  
Sequential Processes ◽  
Paint Coatings ◽  
Thickness Measurements ◽  
Existing Data

In this paper, phenomena of general corrosion are assumed to be the results of three sequential processes: degradation of paint coatings, generation of pitting point, and progress of pitting point. A consistent corrosion model is proposed which can evaluate the generation and progress of corrosion quantitatively by introducing appropriate simple probabilistic models for each process. This probabilistic corrosion model can be identified by analyzing existing data collected from plate thickness measurements. Applicability of this model is verified by comparing the estimated behavior of corrosion progress and dispersion with those from actual data.

scholarly journals Characteristics of Hazard Rate Functions of Log-Normal Distributions

2019 ◽  
Vol 1338 ◽  
pp. 012036
Author(s):  
D Kurniasari ◽  
R Widyarini ◽  
Warsono ◽  
Y Antonio
Keyword(s):  
Hazard Rate ◽  
Normal Distributions ◽  
Rate Functions ◽  
Log Normal

Non Parametric Probabilistic Approach of Ice Load Peaks on Ship Hulls

2012 ◽  
Author(s):  
Abdillah Suyuthi ◽  
Bernt J. Leira ◽  
Kaj Riska
Keyword(s):  
Probabilistic Models ◽  
Extreme Values ◽  
Probabilistic Approach ◽  
Initial Distribution ◽  
Complex Phenomenon ◽  
Short Term ◽  
Ship Hulls ◽  
Ice Load ◽  
Non Parametric

Due to its complex phenomenon, ice-induced load process could not be physically possible to be modeled by a specific well established probabilistic model. Therefore, a non parametric approximate probabilistic approach should be performed based on the available data. This paper describes the procedure and also the extrapolation to get the short term and long term extreme values. Comparison with the classical approach, where the initial distribution of ice-induced load is assumed to be one of the well established probabilistic models, was made. The comparisons discussed in this paper were explored by using the same available data of full scale measurement on board a coastal guard vessel KV Svalbard during the winter 2007. There was a tendency that the non parametric approach produces more conservative results.

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