scholarly journals Nonlinear Error Propagation Analysis of a New Family of Model-Based Integration Algorithm for Pseudodynamic Tests

2018 ◽  
Vol 10 (8) ◽  
pp. 2846
Author(s):  
Bo Fu ◽  
Huanjun Jiang ◽  
Tao Wu
Keyword(s):  
Error Propagation ◽  
Numerical Study ◽  
Integration Algorithm ◽  
Amplification Factors ◽  
Model Based ◽  
New Family ◽  
Pseudodynamic Test ◽  
Error Amplification ◽  
Propagation Properties ◽  
New Algorithms

Error propagation properties of integration algorithms are crucial in conducting pseudodynamic tests. The motivation of this study is to investigate the error propagation properties of a new family of model-based integration algorithm for pseudodynamic tests. To develop the new algorithms, two additional coefficients are introduced in the Chen-Ricles (CR) algorithm. In addition, a parameter—i.e., degree of nonlinearity—is applied to describe the change of stiffness for nonlinear structures. The error propagation equation for the new algorithms implemented in a pseudodynamic test is derived and two error amplification factors are deduced correspondingly. The error amplification factors for three structures with different degrees of nonlinearity are calculated to illustrate the error propagation effect. The numerical simulation of a pseudodynamic test for a two-story shear-type building structure is conducted to further demonstrate the error propagation characteristics of the new algorithms. It can be concluded from the theoretical analysis and numerical study that both nonlinearity and the two additional coefficients of the new algorithms have great influence on its error propagation properties.

Error Propagation for Explicit Pseudodynamic Testing

2003 ◽  
Author(s):  
Shuenn-Yih Chang
Keyword(s):  
Error Propagation ◽  
Stability Limit ◽  
Numerical Dissipation ◽  
Explicit Method ◽  
Frequency Responses ◽  
Pseudodynamic Test ◽  
Propagation Analysis ◽  
Error Propagation Analysis ◽  
Propagation Properties ◽  
Pseudodynamic Testing

Error propagation characteristics of the Newmark explicit method, the modified Newmark explicit method and the α-function dissipative explicit method in performing a pseudodynamic test are studied herein. It is shown that the Newmark explicit method is non-dissipative while the modified Newmark explicit method and the α-function dissipative explicit method are dissipative and can eliminate the spurious participation of high frequency responses. Furthermore, analytical results of the error propagation analysis reveal that the modified Newmark explicit method and the α-function dissipative explicit method have much better error propagation properties when compared to the Newmark explicit method. The major disadvantages of the modified Newmark explicit method are the positive lower stability limit and undesired numerical dissipation. This implies that the α-function dissipative explicit method might be the most appropriate explicit pseudodynamic algorithm among the three integration methods.

Co-planar two-dimensional Metal-Insulator-Semiconductor Capacitor: Numerical study of the device electrostatics.

2017 ◽  
Author(s):  
Varun Bheemireddy
Keyword(s):  
Space Charge ◽  
High Performance ◽  
Numerical Study ◽  
2D Materials ◽  
Space Charge Density ◽  
Two Dimensional ◽  
Short Channel ◽  
Metal Insulator ◽  
Metal Insulator Semiconductor ◽  
New Family

The two-dimensional(2D) materials are highly promising candidates to realise elegant and e cient transistor. In the present letter, we conjecture a novel co-planar metal-insulator-semiconductor(MIS) device(capacitor) completely based on lateral 2D materials architecture and perform numerical study of the capacitor with a particular emphasis on its di erences with the conventional 3D MIS electrostatics. The space-charge density features a long charge-tail extending into the bulk of the semiconductor as opposed to the rapid decay in 3D capacitor. Equivalently, total space-charge and semiconductor capacitance densities are atleast an order of magnitude more in 2D semiconductor. In contrast to the bulk capacitor, expansion of maximum depletion width in 2D semiconductor is observed with increasing doping concentration due to lower electrostatic screening. The heuristic approach of performance analysis(2D vs 3D) for digital-logic transistor suggest higher ON-OFF current ratio in the long-channel limit even without third dimension and considerable room to maximise the performance of short-channel transistor. The present results could potentially trigger the exploration of new family of co-planar at transistors that could play a signi significant role in the future low-power and/or high performance electronics.<br>

On the state independency and log-linearity of error propagation for discrete group affine systems with application to attitude estimation

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Jiaolong Wang ◽  
Chengxi Zhang ◽  
Jin Wu
Keyword(s):  
Error Propagation ◽  
Discrete Group ◽  
Attitude Estimation ◽  
The State ◽  
Propagation Model ◽  
Rigorous Proof ◽  
Affine Systems ◽  
Content Type ◽  
Physical Systems ◽  
Propagation Properties

Purpose This paper aims to propose a general and rigorous study on the propagation property of invariant errors for the model conversion of state estimation problems with discrete group affine systems. Design/methodology/approach The evolution and operation properties of error propagation model of discrete group affine physical systems are investigated in detail. The general expressions of the propagation properties are proposed together with the rigorous proof and analysis which provide a deeper insight and are beneficial to the control and estimation of discrete group affine systems. Findings The investigation on the state independency and log-linearity of invariant errors for discrete group affine systems are presented in this work, and it is pivotal for the convergence and stability of estimation and control of physical systems in engineering practice. The general expressions of the propagation properties are proposed together with the rigorous proof and analysis. Practical implications An example application to the attitude dynamics of a rigid body together with the attitude estimation problem is used to illustrate the theoretical results. Originality/value The mathematical proof and analysis of the state independency and log-linearity property are the unique and original contributions of this work.

Automated Transformation of UML/SysML Behavioral Diagrams for Stochastic Error Propagation Analysis of Autonomous Systems

2021 ◽  
Author(s):  
Andrey Morozov ◽  
Thomas Mutzke ◽  
Kai Ding
Keyword(s):  
Error Propagation ◽  
System Modeling ◽  
Dual Graph ◽  
Medical Patient ◽  
Transformation Method ◽  
Propagation Model ◽  
Probabilistic Model Checking ◽  
Model Based ◽  
Propagation Analysis ◽  
Error Propagation Analysis

Abstract Modern technical systems consist of heterogeneous components, including mechanical parts, hardware, and the extensive software part that allows the autonomous system operation. The heterogeneity and autonomy require appropriate models that can describe the mutual interaction of the components. UML and SysML are widely accepted candidates for system modeling and model-based analysis in early design phases, including the analysis of reliability properties. UML and SysML models are semi-formal. Thus, transformation methods to formal models are required. Recently, we introduced a stochastic Dual-graph Error Propagation Model (DEPM). This model captures control and data flow structures of a system and allows the computation of advanced risk metrics using probabilistic model checking techniques. This article presents a new automated transformation method of an annotated State Machine Diagram, extended with Activity Diagrams, to a hierarchical DEPM. This method will help reliability engineers to keep error propagation models up to date and ensure their consistency with the available system models. The capabilities and limitations of transformation algorithm is described in detail and demonstrated on a complete model-based error propagation analysis of an autonomous medical patient table.

A Family of Explicit Dissipative Algorithms for Pseudodynamic Testing

2006 ◽  
Vol 22 (2) ◽  
pp. 145-154 ◽  
Author(s):  
S.- Y. Chang
Keyword(s):  
High Frequency ◽  
Error Propagation ◽  
Numerical Dissipation ◽  
Explicit Method ◽  
High Frequency Response ◽  
Frequency Responses ◽  
Pseudodynamic Test ◽  
Propagation Analysis ◽  
Error Propagation Analysis ◽  
Pseudodynamic Testing

AbstractThe α-function method is a family of second-order explicit methods with controlled numerical dissipation. Thus, it is very promising for the pseudodynamic testing of a system where high frequency responses are of no interest. This is because that favorable numerical dissipation can suppress the spurious growth of high frequency responses, which might arise from numerical and/or experimental errors during a test. Furthermore, the implementation of an explicit method for the pseudodynamic testing is much simpler than for an implicit method. The superiority of using this method in performing a pseudodynamic test was verified both analytically and experimentally. In fact, results of error propagation analysis reveal that the spurious growth of high frequency responses can be suppressed and less error propagation is identified when compared to the Newmark explicit method. Actual tests were conducted pseudodynamically to confirm all the analytical results. It is also illustrated that although the high frequency response is insignificant to the total response it may be significantly amplified and propagated and finally destroys the pseudodynamic test results.

scholarly journals Analyzing the Improved Software Reliability Based on the Markov Model by Considering Error propagation

2018 ◽  
Vol 7 (2.32) ◽  
pp. 91
Author(s):  
Dr S. Srinivasa Rao ◽  
D Sowjanya ◽  
CH Dileep Chowdary ◽  
M Harika
Keyword(s):  
Markov Model ◽  
Reliability Analysis ◽  
Software Reliability ◽  
Error Propagation ◽  
High Reliability ◽  
Transformation Techniques ◽  
Model Driven ◽  
Model Based ◽  
Estimate Reliability ◽  
Analysis Design

In the software reliability analysis we proposed an approach, which is named as Model Driven Development method. This is a modelling and model transformation techniques. The Markov model used in reliability fields is modified to adapt to error propagation behaviors of components. The Markov model has been used for results of reliability analysis. Markov model which means that that future or upcoming states depend only on the present state not on the events that occurred before it to ensure high reliability of this software is to estimate reliability accurately in the developing phase. Then a study on the transformation between model based on Architecture & Analysis Design Language (AADL) and Markov model has been done. By considering all these a model based software reliability analysis approach is proposed. 

scholarly journals Numerical Study of Unsteady Properties of Ethylene/Air Turbulent Jet Diffusion Flame with Detached Eddy Simulation

2016 ◽  
Vol 33 (4) ◽  
Author(s):  
Sugang Ma ◽  
Fengquan Zhong ◽  
Xinyu Zhang
Keyword(s):  
Diffusion Flame ◽  
Error Propagation ◽  
Numerical Study ◽  
Kinetic Mechanism ◽  
Detached Eddy Simulation ◽  
Eddy Simulation ◽  
Turbulent Plane ◽  
Ignition And Combustion ◽  
Relation Graph ◽  
Plane Jet

AbstractIn this paper, unsteady process of ignition and combustion of turbulent plane-jet diffusion flame of ethylene/air is numerically simulated with detached eddy simulation (DES) and a reduced kinetic mechanism of ethylene. The kinetic mechanism consisting of 25 species and 131 steps is reduced from a 25 species/131 steps detailed mechanism via the method of error-propagation-based directed relation graph (DRGEP). The DES results of averaged temperature profiles at varied downstream locations are compared with the DNS results of Yoo et al. [

Sensitivity Study of Pseudodynamic Algorithm with Structure-Dependent Quadrature Equations

2015 ◽  
Vol 15 (05) ◽  
pp. 1450069
Author(s):  
Shuenn-Yih Chang
Keyword(s):  
Bifurcation Point ◽  
Stiffness Matrix ◽  
Stability Problem ◽  
Error Propagation ◽  
Sensitivity Study ◽  
Unconditional Stability ◽  
Conditional Stability ◽  
Stiffness Ratio ◽  
Initial Stiffness ◽  
Propagation Properties

An estimated initial stiffness matrix is generally needed to determine the coefficient matrices of quadrature equations for a structure-dependent pseudodynamic algorithm. It is shown herein that an experimentally determined initial stiffness matrix is, in general, close to the true initial stiffness matrix if an imposed displacement is small enough. This case is often encountered in practice. The case where an estimated initial stiffness is different from a true initial stiffness for employing a structure-dependent pseudodynamic algorithm is also explored. The numerical properties and error propagation properties are evaluated as a function of the initial stiffness ratio, which is the ratio of an estimated initial stiffness over a true initial stiffness. In general, accuracy and error propagation properties are insensitive to the initial stiffness ratio. It seems that the change of bifurcation point between unconditional stability and conditional stability is of worth noting. In order to avoid this stability problem, guidelines are recommended if a structure-dependent pseudodynamic algorithm is used.

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