A MATLAB graphical user interface for nonintrusive polynomial chaos theory

Author(s):  
K. Togawa ◽  
A. Benigni ◽  
A. Monti
2019 ◽  
Vol 15 (1) ◽  
Author(s):  
Paul S. Ryan ◽  
Sarah C. Baxter ◽  
Philip A. Voglewede

Abstract Understanding how variation impacts a multibody dynamic (MBD) system's response is important to ensure the robustness of a system. However, how the variation propagates into the MBD system is complicated because MBD systems are typically governed by a system of large differential algebraic equations. This paper presents a novel process, variational work, along with the polynomial chaos multibody dynamics (PCMBoD) automation process for utilizing polynomial chaos theory (PCT) in the analysis of uncertainties in an MBD system. Variational work allows the complexity of the traditional PCT approach to be reduced. With variational work and the constrained Lagrangian formulation, the equations of motion of an MBD PCT system can be constructed using the PCMBoD automated process. To demonstrate the PCMBoD process, two examples, a mass-spring-damper and a two link slider–crank mechanism, are shown.


Author(s):  
Saeid Bashash ◽  
Hosam K. Fathy

In this effort, we use the generalized Polynomial Chaos theory (gPC) for the real-time state and parameter estimation of electrochemical batteries. We use an equivalent circuit battery model, comprising two states and five parameters, and formulate the online parameter estimation problem using battery current and voltage measurements. Using a combination of the conventional recursive gradient-based search algorithm and gPC framework, we propose a novel battery parameter estimation strategy capable of estimating both battery state-of-charge (SOC) and parameters related to battery health, e.g., battery charge capacity, internal resistance, and relaxation time constant. Using a combination of experimental tests and numerical simulations, we examine and demonstrate the effectiveness of the proposed battery estimation method.


Author(s):  
Philip A. Voglewede ◽  
Antonello Monti

Understanding how manufacturing variation affects manipulator fit and function is of the utmost importance. There are currently many techniques to determine these effects. Many of them for robotic manipulators only apply to the static analysis, but there is a need to determine the dynamic effects. This paper outlines how polynomial chaos theory (PCT) can be utilized to solve both the static (aka tolerance stack-up) and dynamic analyses. To show the power of the procedure, it is applied to a simple planar two link manipulator with geometric variation of the link lengths.


2019 ◽  
Vol 3 (27) ◽  
pp. 243-256 ◽  
Author(s):  
Shriram Santhanagopalan ◽  
Ralph E. White

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