Research on a joint mechanical and electrical simulation platform of a step-and-scan lithography based on the state-space finite element model

2014 ◽  
Author(s):  
Zhenbin Wang ◽  
Hai Xia ◽  
Xiaofeng Yang
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
State Space ◽  
Element Model ◽  
The State ◽  
Simulation Platform ◽  
Electrical Simulation

scholarly journals Vibration control of a lead zirconate titanate structure considering controller–structure interactions

2018 ◽  
Vol 37 (4) ◽  
pp. 1201-1218 ◽  
Author(s):  
Xingjian Dong ◽  
Zhike Peng ◽  
Guang Meng
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
State Space ◽  
State Space Model ◽  
Element Model ◽  
The State ◽  
Laminated Plate ◽  
Space Model ◽  
Model Based ◽  
The Finite Element Model

This study focuses on integrating an active vibration controller into the finite element model of a piezoelectric laminated plate with the controller–structure interactions considered. A finite element model of a piezoelectric laminated plate is formulated using the third-order shear deformation theory. A state-space model is set up by performing a system identification technique. The state-space model is then used to design an optimal vibration controller. Considering that the finite element model is more appropriate than state-space model for dynamic simulation, the state-space model-based controller is integrated into the finite element model to capture the controller–structure interactions. The results obtained by applying vibration controller in state-space model are also presented to make a comparison. It is numerically demonstrated that the controller–structure interactions occur and cause performance degradation in case that the state-space model-based controller works with the finite element model. There is no prior guarantee that a state-space model-based controller satisfying the control requirements still works well in closed loop with the finite element model. The results of this study can be used to evaluate the controller performance for the piezoelectric smart structures during the preliminary design stage.

scholarly journals Piezoelectric Beam Finite Element Model and Its Reduction and Control

2021 ◽  
Vol 71 (1) ◽  
pp. 87-106
Author(s):  
Kutiš Vladimír ◽  
Paulech Juraj ◽  
Gálik Gálik ◽  
Murín Justín
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
State Space ◽  
State Space Model ◽  
Element Model ◽  
Functionally Graded ◽  
Fem Model ◽  
Space Model ◽  
Piezoelectric Beam ◽  
Reduced State

Abstract The paper deals with the development of the finite element method (FEM) model of piezoelectric beam elements, where the piezoelectric layers are located on the outer surfaces of the beam core, which is made of functionally graded material. The created FEM model of piezoelectric beam structure is reduced using the modal truncation method, which is one of model order reduction (MOR) method. The results obtain from reduced state-space model are compared with results obtain from finite element model. MOR state-space model is also used in the design of the linear quadratic regulator (LQR). Created reduced state-space model with feedback with the LQR controller is analysed and compared with the results from FEM model.

Design of Robust Vibration Controller for a Smart Panel Using Finite Element Model

2002 ◽  
Vol 124 (2) ◽  
pp. 265-276 ◽  
Author(s):  
W. Chang ◽  
Senthil V. Gopinathan ◽  
V. V. Varadan ◽  
V. K. Varadan
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
Model Reduction ◽  
State Space ◽  
State Space Model ◽  
Element Model ◽  
Robust Controller ◽  
Space Model ◽  
Smart Panel ◽  
Low Order

This paper presents a model reduction method and uncertainty modeling for the design of a low-order H∞ robust controller for suppression of smart panel vibration. A smart panel with collocated piezoceramic actuators and sensors is modeled using solid, transition, and shell finite elements, and then the size of the model is reduced in the state space domain. A robust controller is designed not only to minimize the panel vibration excited by applied uniform acoustic pressure, but also to be reliable in real world applications. This paper introduces the idea of Modal Hankel Singular values (MHSV) to reduce the finite element model to a low-order state space model with minimum model reduction error. MHSV measures balanced controllability and observability of each resonance mode to deselect insignificant resonance modes. State space modeling of realistic control conditions are formulated in terms of uncertainty variables. These uncertainty variables include uncertainty in actuators and sensors performances, uncertainty in the knowledge of resonance frequencies of the structure, damping ratio, static stiffness, unmodeled high resonance vibration modes, etc. The simplified model and the uncertainty model are combined as an integrated state space model, and then implemented in the H∞ control theory for controller parameterization. The low-order robust controller is easy to implement in an analog circuit to provide a low cost solution in a variety of applications where cost may be a limiting factor.

Research on Anti-Rutting Performance of Reconstruct Pavement

2012 ◽  
Vol 178-181 ◽  
pp. 1601-1604
Author(s):  
Lian Yu Wei ◽  
Fei Gao ◽  
Shi Bin Ma ◽  
Qing Zhou Wang
Keyword(s):  
Finite Element ◽  
Shear Stress ◽  
Finite Element Model ◽  
Asphalt Pavement ◽  
Maximum Shear Stress ◽  
Element Model ◽  
The State ◽  
Longitudinal Slope ◽  
The Finite Element Model

Based on the overhaul structure of actual asphalt pavement, establishes the finite element model and analyses the shear stress in the state of overload, longitudinal slope and contact coefficient. The result is that the load and the gradient of longitudinal slope larger, the influence of rutting more seriously. The growth of shear stress is larger which brought by adding load on steep longitudinal slope than that of adding on longitudinal slope. The contact coefficient of interlayer α larger the maximum shear stress larger, on the contrary, the contact coefficient of interlayer α smaller the maximum shear stress smaller.

Analysis and Results of an SCS-6/Ti-15-3 MMC Reinforced Ring Structure Under Internal Radial Loading

1993 ◽  
Author(s):  
Phillip W. Gravett ◽  
Robert E. deLaneuville
Keyword(s):  
Finite Element ◽  
Residual Stresses ◽  
Finite Element Model ◽  
Stress Analysis ◽  
Ultimate Strength ◽  
Element Model ◽  
Ring Structure ◽  
The State ◽  
Stress Concentrations ◽  
State Of Stress

Abstract This paper presents a stress analysis method and test results of a ring structure reinforced with SCS-6/Ti-15-3 MMC under an applied internal radial load. To assess the structural integrity of an MMC reinforced component, the state of stress within the component must be determined. Two major factors complicating the state of stress in the given MMC reinforced rings are the stress concentrations caused by the load fixture and the thermal residual stresses induced during processing. To model the stress concentrations, the ring and its load fixture were modeled as a 3-d solid finite element model. To calculate the processing residual stresses, a 2-d axisymetric finite element thermal stress analysis was completed. Plasticity was modeled with the 2-d axisymetric finite element model accounting for the nonlinear response of the MMC core and monolithic sheath. Testing of the rings at room and high temperature showed good correlation to load-deflection calculations while ultimate strength was far less than predicted. Subsequent post failure analysis revealed preexisting damage within the MMC which was not detected by pretest NDE inspections. This damage did not significantly affect the measured stiffness of the ring, but diminished the ultimate strength by reducing the capability of the MMC in a localized area.

scholarly journals The influence of the coal mining process on the state of the earth’s surface in the district of the block

2020 ◽  
Vol 174 ◽  
pp. 01051
Author(s):  
Alexander Abramovich ◽  
Yuri Stepanov ◽  
Juraj Janocko
Keyword(s):  
Finite Element ◽  
Geographic Information Systems ◽  
Finite Element Model ◽  
Coal Mining ◽  
3D Modeling ◽  
Element Model ◽  
The State ◽  
Activity Diagram ◽  
The Impact ◽  
The Finite Element Model

This article considers the prerequisites to the development of technologies and a method of computer analysis of the influence of the coal mining process on the state of the earth’s surface in the district of the breakage face. The paper presents an algorithm for the implementation of preparatory works for analysis of the influence of coal mining on the state of the earth’s surface in the district of the block in the form of activity diagram, as well as the tools that are necessary for this analysis are considered. The technologies of 3D modeling of massif by means of FreeCAD are considered, and the analysis of solids formation methods, characterizing rock formation, is carried out. For more accurate calculations and analysis, the finite element model of massif must be built with detail, that is, to break down solids into smaller elements. The article represents a technology, the application of which will be implemented in cooperation with rock geographic information systems, which be capable of a detail analysis and assessment of the impact of coal mining on the surface within the second working.

scholarly journals Application of Improved Dynamic Substructure Finite Element Model-Based State-Space Techniques in Mistuned Blisks

2020 ◽  
Vol 2020 ◽  
pp. 1-15
Author(s):  
Bin Bai ◽  
Chuan hui Zhang ◽  
Guangwei Zhu ◽  
Qi liang Wu
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
State Space ◽  
Computational Efficiency ◽  
Element Model ◽  
Modal Strain Energy ◽  
Classical Dynamic ◽  
Reduced Order ◽  
Bladed Disk ◽  
Model Based

Aeroengine is a complex mechanical equipment, and it works at high temperature, pressure, rotational-speed, and severe loads. One of the core problems is that the vibration and mistuning of bladed disk lead to failure and affect the safety and reliability of aeroengine. Previously, one sector taken as the research object is not suitable; the integrally mistuned bladed disk (blisk) is taken as the research object is very necessary; however, the computational efficiency of mistuned blisk is very low. Therefore, a reduced-order model approach, i.e., an improved dynamic substructure finite element model-based state-space technique (IDSFEM-SST), is proposed to investigate the mistuned blisk. Firstly, the reduced-order substructure finite element model is established by this method, and then, the modal frequencies and modal strain energy amplitudes are investigated. Secondly, the maximum displacement responses are analyzed. Finally, the computational efficiency and accuracy of mistuned blisk via IDSFEM-SST is compared with that of the classical dynamic substructure finite element model and the high-fidelity finite element model to verify the effectiveness of this approach. This study has significance to the dynamic research and engineering practices for complex mechanical structures.

Simulation of Pipeline Dynamics Using an Optimized Finite Element Model

1999 ◽  
Vol 11 (4) ◽  
pp. 283-288
Author(s):  
Kazushi Sanada ◽  
Keyword(s):  
Finite Element ◽  
Finite Element Model ◽  
State Space ◽  
Fuel Injection ◽  
Block Diagram ◽  
Finite Element Approximation ◽  
Element Model ◽  
Simulation Software ◽  
Element Approximation ◽  
Space Equation

Applying finite element approximation to basic equations of pipeline dynamics, we propose an optimized finite element model written as a state space equation having a state variable vector of flows and pressures at intersecting grid points. The model accepts various forms of friction. We propose an augmented model including unsteady laminar friction rewritten as a state space equation. A model generator program is developed to calculate coefficient matrices of the state space equation of the model. Using the program, the model is compatible with block-diagram-based simulation software. Use of the model is shown by experiment and simulation examples. Transient pressures of a closed-end pipe were measured experimentally and used to validate simulated results of the optimized finite element model. Fuel injection was simulated using commercial simulation software to demonstrate model use.

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