scholarly journals On transmission Zeros of piezoelectric structures

2021 ◽  
pp. 1045389X2110572
Author(s):  
Shashank Pathak ◽  
Dimitri Piron ◽  
Ahmad Paknejad ◽  
Christophe Collette ◽  
Arnaud Deraemaeker
Keyword(s):  
Model Reduction ◽  
Physical Interpretation ◽  
Mesh Size ◽  
Efficient Estimation ◽  
Single Pair ◽  
Computationally Efficient ◽  
Control Engineering ◽  
Transmission Zeros ◽  
Piezoelectric Structures ◽  
Refinement Strategy

The evaluation of transmission zeros is of great importance for the control engineering applications. The structures equipped with piezoelectric patches are complex to model and usually require finite element approaches supplemented by model reduction. This study rigorously investigates the influence of mesh size, model reduction, boundary conditions (free and clamped), and sensor/actuator configuration (collocated and non-collocated) on the evaluation of transmission zeros of the piezoelectric structures. The numerical illustrations are presented for a thin rectangular plate equipped with a single pair of piezoelectric voltage sensor/ voltage actuator. Through the examples considered in this study, a link is presented between the static response (or static deflected shape) and the transmission zeros of the piezoelectric structures. This interesting observation forms the basis of: (i) a local mesh refinement strategy for computationally efficient estimation of the transmission zeros and (ii) a physical interpretation of the pole-zero pattern in the case of piezoelectric structures. The physical interpretation developed in this study helps in qualitatively explaining the pole-zero patterns observed for different configurations. It is also shown that this understanding of the relation between the static deformed shape and the transmission zeros can be used by the practitioners to modify the pole-zero pattern through a careful selection of the orientation and the size of the piezoelectric patches.

scholarly journals Conditional Analysis for Mixed Covariates, with Application to Feed Intake of Lactating Sows

2019 ◽  
Vol 2019 ◽  
pp. 1-14
Author(s):  
S. Y. Park ◽  
C. Li ◽  
S. M. Mendoza Benavides ◽  
E. van Heugten ◽  
A. M. Staicu
Keyword(s):  
Feed Intake ◽  
Dynamic Change ◽  
Estimation Algorithm ◽  
Joint Estimation ◽  
Efficient Estimation ◽  
Specific Information ◽  
Computationally Efficient ◽  
Modeling Framework ◽  
Lactating Sows ◽  
Information Vector

We propose a novel modeling framework to study the effect of covariates of various types on the conditional distribution of the response. The methodology accommodates flexible model structure, allows for joint estimation of the quantiles at all levels, and provides a computationally efficient estimation algorithm. Extensive numerical investigation confirms good performance of the proposed method. The methodology is motivated by and applied to a lactating sow study, where the primary interest is to understand how the dynamic change of minute-by-minute temperature in the farrowing rooms within a day (functional covariate) is associated with low quantiles of feed intake of lactating sows, while accounting for other sow-specific information (vector covariate).

Determining Feasible Robot Placements in Robotic Cells for Composite Prepreg Sheet Layup

2019 ◽  
Author(s):  
Rishi K. Malhan ◽  
Ariyan M. Kabir ◽  
Brual Shah ◽  
Timotei Centea ◽  
Satyandra K. Gupta
Keyword(s):  
High Performance ◽  
Computationally Efficient ◽  
Robotic Cell ◽  
Precursor Material ◽  
Robotic Cells ◽  
A Cell ◽  
Complex Decision ◽  
Computationally Efficient Algorithms ◽  
Refinement Strategy ◽  
Robot Placement

Abstract High-performance composites are widely used in industry because of specific mechanical properties and lightweighting opportunities. Current automation solutions to manufacturing components from prepreg (pre-impregnated precursor material) sheets are limited. Our previous work has demonstrated the technical feasibility of a robotic cell to automate the sheet layup process. Many decisions are required for the cell to function correctly, and the time necessary to make these decisions must be reduced to utilize the cell effectively. Robot placement with respect to the mold is a significant and complex decision problem. Ensuring that robots can collaborate effectively requires addressing multiple constraints related to the robot workspace, singularity, and velocities. Solving this problem requires developing computationally efficient algorithms to find feasible robot placements in the cell. We describe an approach based on successive solution refinement strategy to identify a cell design that satisfies all constraints related to robot placement.

scholarly journals An Efficient Spectral Element Model with Electric DOFs for the Static and Dynamic Analysis of a Piezoelectric Bimorph

2014 ◽  
Vol 2014 ◽  
pp. 1-9
Author(s):  
Xingjian Dong ◽  
Zhike Peng ◽  
Wenming Zhang ◽  
HongXing Hua ◽  
Guang Meng
Keyword(s):  
Dynamic Analysis ◽  
Electric Potential ◽  
Natural Frequencies ◽  
Single Layer ◽  
Mesh Size ◽  
Element Model ◽  
Spectral Element ◽  
Piezoelectric Bimorph ◽  
Computationally Efficient ◽  
Static And Dynamic Analysis

An efficient spectral element (SE) model for static and dynamic analysis of a piezoelectric bimorph is proposed. It combines an equivalent single layer (ESL) model for the mechanical displacement field with a sublayer approximation for the electric potential. The 2D Gauss-Lobatto-Legendre (GLL) shape functions are used to discretize the displacements and then the governing equation of motion is derived following the standard SE method procedure. It is shown numerically that the present SE model can well predict both the global and local responses such as mechanical displacements, natural frequencies, and the electric potentials across the bimorph thickness. In the case of bimorph sensor application, it is revealed that the distribution of the induced electric potential across the thickness does not affect the global natural frequencies much. Furthermore, the effects of the order of Legendre polynomial and the mesh size on the convergence rate are investigated. Comparison of the present results for a bimorph sensor with those from 3D finite element (FE) simulations establishes that the present SE model is accurate, robust, and computationally efficient.

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