An Energy Error Estimation Method for Improving Analytical Models Using Vibration Modal Test Data

1995 ◽  
Vol 209 (2) ◽  
pp. 97-105 ◽  
Author(s):  
S Guo ◽  
N G Hemingway
Keyword(s):  
Analytical Model ◽  
Error Estimation ◽  
Test Data ◽  
Dynamic Models ◽  
Estimation Method ◽  
Analytical Models ◽  
Original Matrix ◽  
Energy Error ◽  
Modal Test ◽  
Model Improvement

When improving analytical dynamic models using modal test data, correct localization of the poorly modelled areas in the analytical model is essential for ensuring the accuracy of the model improvement obtained. In this paper, a method referred to as the energy error estimation (EEE) method is proposed. Firstly, this method is capable of effectively distinguishing the correctly modelled mass and stiffness elements from those poorly modelled regions by using a limited number of test modes. This results in an accurate localization of the analytical modelling errors. Secondly, a set of correction factors can be obtained for improving those elements that are identified as having been poorly modelled. The improved analytical model will also retain its original matrix configuration, size and physical explanation, which is desirable. In order to verify the efficiency and accuracy of this proposed method, beam examples using both simulated and experimental modal test data are demonstrated. Excellent model improvement is shown in these examples.

Relationship Between Improved Inverse Eigensensitivity and FRF Sensitivity Methods for Analytical Model Updating

1997 ◽  
Vol 119 (3) ◽  
pp. 354-362 ◽  
Author(s):  
R. M. Lin ◽  
M. K. Lim
Keyword(s):  
Analytical Model ◽  
Model Updating ◽  
Analytical Models ◽  
Practical Application ◽  
Solution Uniqueness ◽  
Mathematical Relationship ◽  
Practical Applications ◽  
Advantages And Disadvantages ◽  
Model Improvement ◽  
Sensitivity Method

Improved inverse eigensensitivity method and improved frequency response function (FRF) sensitivity method developed for analytical model updating have become increasingly popular among other methods and have been successfully applied to the practice of analytical model improvement. This paper examines the mathematical relationship between these two powerful methods for updating analytical models of undamped systems with objectives of demonstrating the advantages and disadvantages of each method as well as their specific practical application conditions. The problem of solution uniqueness associated with these methods is addressed. Computational considerations regarding the practical application of the methods are discussed. Numerical simulations are given to demonstrate the practical applications of these methods.

A Coupled Transient Wellbore/Reservoir-Temperature Analytical Model

SPE Journal ◽  
2019 ◽  
Vol 24 (05) ◽  
pp. 2335-2361 ◽  
Author(s):  
M. S. Galvao ◽  
M. S. Carvalho ◽  
A. B. Barreto
Keyword(s):  
Analytical Model ◽  
Single Phase ◽  
Mass Density ◽  
Estimation Method ◽  
Analytical Models ◽  
Transient Temperature ◽  
Transient Heat Flow ◽  
Wellbore Temperature ◽  
Transient Data ◽  
Phase Fluid

Summary This work presents a new coupled transient wellbore/reservoir thermal analytical model, consisting of a combined reservoir/casing/tubing system. The analytical model considers flow of a slightly compressible, single–phase fluid in a homogeneous infinite–acting reservoir system and provides temperature–transient data for drawdown and buildup tests at any gauge location along the wellbore. The model accounts for Joule–Thomson (J–T), adiabatic–fluid–expansion, conduction, and convection effects. The wellbore–fluid mass density is modeled as a function of temperature, and the analytical solution makes use of the Laplace transformation to solve the transient heat–flow differential equation, accounting for a transient wellbore–temperature gradient ∂T/∂z. The solutions presented assume moderate– to high–permeability reservoirs and do not consider skin effects in the formation. Results of the analytical model are compared with those of a commercial thermal simulator and with those of available models in the literature. Our model provides more accurate transient–temperature–flow profiles along the wellbore in comparison with previous analytical models in the literature. Furthermore, a generalization of a well–known parameter–estimation method from transient–temperature data is provided.

Analytical Model Improvement Using Modal Test Results

AIAA Journal ◽  
1980 ◽  
Vol 18 (6) ◽  
pp. 684-690 ◽  
Author(s):  
Jay C. Chen ◽  
John A. Garba
Keyword(s):  
Analytical Model ◽  
Test Results ◽  
Modal Test ◽  
Model Improvement

An Analytical Mechatronic Model for Series DC Motors Using Manufacturer Test Data

2009 ◽  
Author(s):  
Clark Radcliffe
Keyword(s):  
Analytical Model ◽  
Test Data ◽  
Dc Motor ◽  
Analytical Models ◽  
Model Parameters ◽  
Market Place ◽  
Brushless Dc Motors ◽  
Dc Motors ◽  
Motor Test ◽  
Permanent Magnet Dc Motors

Direct Current (DC) Motors are one of the most common mechatronic actuators. They are important for electromechanical servo systems, drivers for battery powered appliances and tools as well as electric vehicles. Both brushless DC motors and wound DC motors are common in electric and hybrid vehicles. The series wound DC motor is commonly used for high torque vehicle applications. The literature has many papers discussing permanent magnet DC motors but a very limited number of publications on analytical models for series wound DC motors, especially motor models that fit series wound DC motor test data available in the market place. An analytical model for a series wound DC motor is developed here based on physical principles including energy conservation. The model developed will be compared with models developed by other investigators. Available commercial test data for a series motor will be used to find model parameters for the analytical model and the accuracy of this model evaluated against the original test data. The model developed displays excellent accuracy well within the accuracy of the test data available. Typical model rms deviation from test data is under 2% for the commercial series wound DC motors evaluated.

Mount Stiffnesses and Inertia Properties from Modal Test Data

1989 ◽  
Vol 111 (2) ◽  
pp. 134-138 ◽  
Author(s):  
P. Conti ◽  
J. Bretl
Keyword(s):  
Experimental Data ◽  
Rigid Body ◽  
Analytical Model ◽  
Body Mass ◽  
Test Data ◽  
Case History ◽  
New Method ◽  
Modal Test ◽  
Mass Properties ◽  
Inertia Properties

A new method for determining an analytical model of a rigid body on mounts is presented. The method uses experimental data from a modal test as input. The output is rigid body mass properties and the stiffnesses of the mounts. The theory behind the method is discussed in detail and a case history is documented.

Improvement of analytical model using uncertain test data

AIAA Journal ◽  
1999 ◽  
Vol 37 ◽  
pp. 489-495
Author(s):  
Abdelkrim Cherki ◽  
Bertrand Lallemand ◽  
Thierry Tison ◽  
Pascal Level
Keyword(s):  
Analytical Model ◽  
Test Data
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