scholarly journals Verification of sensitivity analysis method of measurement uncertainty evaluation

2021 ◽  
Vol 18 ◽  
pp. 100274
Author(s):  
Mirosław Wojtyła ◽  
Paweł Rosner ◽  
Alistair B. Forbes ◽  
Enrico Savio ◽  
Alessandro Balsamo
Keyword(s):  
Sensitivity Analysis ◽  
Measurement Uncertainty ◽  
Uncertainty Evaluation ◽  
Analysis Method ◽  
Sensitivity Analysis Method ◽  
Method Of Measurement ◽  
Measurement Uncertainty Evaluation

scholarly journals Evaluation of coordinate measurement uncertainty of parallelism of axes by means of sensitivity analysis method

Mechanik ◽  
2018 ◽  
Vol 91 (12) ◽  
pp. 1136-1139
Author(s):  
Wojciech Płowucha
Keyword(s):  
Sensitivity Analysis ◽  
Measurement Uncertainty ◽  
Theoretical Basis ◽  
The Other ◽  
Analysis Method ◽  
Connecting Rod ◽  
Coordinate Measurement ◽  
Sensitivity Analysis Method ◽  
Coordinate Measurements ◽  
Tolerance Field

The examples of measurement of three variants of the parallelism of the connecting-rod center axes the theoretical basis of a new method for estimating the uncertainty of coordinate measurements. This is a continuation of the article “Estimation of coordinate measurement uncertainty – theoretical fundamentals” (Mechanik 11, 2018). In the first variant, this tolerance field is in the form of a cylinder, in the other two it has the form of a pair of planes. In the examples presented, uncertainty budgets contain six or nine input factors. In all cases, when the axes of the measured holes are parallel to one of the machine axes, only two input factors affect the uncertainty of the measurement of parallelism deviation.

Research on Measurement Uncertainty Evaluation Methods Based on Bayesian Principle

2008 ◽  
Vol 381-382 ◽  
pp. 583-586
Author(s):  
Xiao Huai Chen ◽  
Z.Y. Cheng ◽  
Ye Tai Fei
Keyword(s):  
Measurement Uncertainty ◽  
Evaluation Method ◽  
Dynamic Measurement ◽  
Uncertainty Evaluation ◽  
Small Samples ◽  
Current Application ◽  
Dynamic Data ◽  
Dynamic Uncertainty ◽  
Method Of Measurement ◽  
Measurement Uncertainty Evaluation

In current application of measurement uncertainty evaluation, dynamic uncertainty evaluation simply uses the static uncertainty methods. To change the situation, a new evaluation method of measurement uncertainty is investigated based on Bayesian principle in this paper. Bayesian evaluation method uses conjugate normal-inverted gamma distribution as the distribution function in uncertainty evaluation, which can be employed to evaluate both static and dynamic measurement uncertainty. The evaluation method put forward in this paper can achieve higher evaluation accuracy than the conventional methods, particularly in processing dynamic data with small samples. It has been proved in theory and by computer simulation.

Efficient Sensitivity Analysis for Multibody Dynamics Systems Using an Iterative Steps Method With Application in Topology Optimization

2011 ◽  
Author(s):  
Guang Dong ◽  
Zheng-Dong Ma ◽  
Gregory Hulbert ◽  
Noboru Kikuchi ◽  
Sudhakar Arepally ◽  
...  
Keyword(s):  
Sensitivity Analysis ◽  
Topology Optimization ◽  
Multibody Dynamics ◽  
Optimization Problem ◽  
Finite Difference Methods ◽  
Analysis Method ◽  
Topology Optimization Problem ◽  
Design Variables ◽  
Sensitivity Analysis Method ◽  
Rotational Motions

Efficient and reliable sensitivity analyses are critical for topology optimization, especially for multibody dynamics systems, because of the large number of design variables and the complexities and expense in solving the state equations. This research addresses a general and efficient sensitivity analysis method for topology optimization with design objectives associated with time dependent dynamics responses of multibody dynamics systems that include nonlinear geometric effects associated with large translational and rotational motions. An iterative sensitivity analysis relation is proposed, based on typical finite difference methods for the differential algebraic equations (DAEs). These iterative equations can be simplified for specific cases to obtain more efficient sensitivity analysis methods. Since finite difference methods are general and widely used, the iterative sensitivity analysis is also applicable to various numerical solution approaches. The proposed sensitivity analysis method is demonstrated using a truss structure topology optimization problem with consideration of the dynamic response including large translational and rotational motions. The topology optimization problem of the general truss structure is formulated using the SIMP (Simply Isotropic Material with Penalization) assumption for the design variables associated with each truss member. It is shown that the proposed iterative steps sensitivity analysis method is both reliable and efficient.

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