Optimization of a linear displacement sensor using FEM and secondary model

2009 ◽  
Vol 28 (5) ◽  
pp. 1266-1275
Author(s):  
Vultchan Gueorgiev ◽  
Zaharinka Gergova ◽  
Ivan Yatchev
Keyword(s):  
Finite Element ◽  
Mutual Influence ◽  
Low Cost ◽  
Linear Displacement ◽  
Displacement Sensor ◽  
The Finite Element Method ◽  
Content Type ◽  
Sensor Optimization ◽  
Displacement Sensors ◽  
Full Factorial

PurposeDifferential sensor for linear displacement has been optimized in terms of linearity and sensitivity. The optimization of the sensor is carried out with respect to its characteristic displacement‐output voltage.Design/methodology/approachResponse surface methodology and design of experiments have been successfully applied for sensor optimization. First, a full factorial experiment – computation of the quasi‐static electromagnetic field of the sensor using the finite element method – has been performed. Secondary model has been created on the basis of finite element results. Then this model has been optimized with respect to two criteria – linearity and sensitivity.FindingsThe mutual influence of both criteria has been studied. In this way an optimal trade‐off between linearity and sensitivity of the sensor was achieved.Research limitations/implicationsRelatively small numbers of optimization criteria have been varied. The results can be further improved by adding additional factors to the study.Originality/valueThe results obtained improve characteristics of this type of sensor and make it low cost alternative to the high‐end linear displacement sensors in low to moderate accuracy applications.

A parallel partition of unity method for the unsteady Stokes equations

2017 ◽  
Vol 27 (9) ◽  
pp. 2105-2114
Author(s):  
Xiaoying Zhao ◽  
Yanren Hou ◽  
Guangzhi Du
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Stokes Equations ◽  
Partition Of Unity ◽  
Time Dependent ◽  
The Finite Element Method ◽  
Partition Of Unity Method ◽  
Content Type ◽  
Standard Galerkin Method ◽  
Unsteady Stokes Equations

Purpose The purpose of this paper is to propose a parallel partition of unity method to solve the time-dependent Stokes problems. Design/methodology/approach This paper solved the time-dependent Stokes equations using the finite element method and the partition of unity method. Findings The proposed method in this paper obtained the same accuracy as the standard Galerkin method, but it, in general, saves time. Originality/value Based on a combination of the partition of unity method and the finite element method, the authors, in this paper, propose a new parallel partition of unity method to solve the unsteady Stokes equations. The idea is that, at each time step, one need to only solve a series of independent local sub-problems in parallel instead of one global problem. Numerical tests show that the proposed method not only reaches the same convergence orders as the fully discrete standard Galerkin method but also saves ample computing time.

Fatigue damage in bending of reinforced concrete frames using non-destructive tests for dynamic strength of the cylinder

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Dragan D. Milašinović ◽  
Aleksandar Landović ◽  
Danica Goleš
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Fatigue Damage ◽  
Cross Section ◽  
Modal Parameters ◽  
The Finite Element Method ◽  
Concrete Frames ◽  
Content Type ◽  
Non Destructive

PurposeThe purpose of this paper is to contribute to the solution of the fatigue damage problem of reinforced concrete frames in bending.Design/methodology/approachThe problem of fatigue damage is formulated based on the rheological–dynamical analogy, including a scalar damage variable to address the reduction of stiffness in strain softening. The modal analysis is used by the finite element method for the determination of modal parameters and resonance stability of the selected frame cross-section. The objectivity of the presented method is verified by numerical examples, predicting the ductility in bending of the frame whose basic mechanical properties were obtained by non-destructive testing systems.FindingsThe modal analysis in the frame of the finite element method is suitable for the determination of modal parameters and resonance stability of the selected frame cross-section. It is recommended that the modulus of elasticity be determined by non-destructive methods, e.g. from the acoustic response.Originality/valueThe paper presents a novel method of solving the ductility in bending taking into account both the creep coefficient and the aging coefficient. The rheological-dynamical analogy (RDA) method uses the resonant method to find material properties. The characterization of the structural damping via the damping ratio is original and effective.

Numerical modeling of structural capacity of corroded bolted assembly

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Rachid Radouani ◽  
Mohamed Essahli ◽  
Younes Ech-Charqy
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Numerical Modeling ◽  
Stress Corrosion Cracking ◽  
Design Methodology ◽  
Bolted Joint ◽  
The Finite Element Method ◽  
Content Type ◽  
Structural Capacity ◽  
Resistant Moment

PurposeValidate the resistance of bolted connections in terms of stresses, resistant moment and contact pressure.Design/methodology/approachFinite element modeling of corroded bolted joint.FindingsThe three types of corroded assemblies are resistant to the applied loads.Originality/valueThe research is original, it studies the stress corrosion cracking of a bolted assembly's end plate by the finite element method.

Research on the Transverse Displacement Sensors Using Linear Array CCD

2011 ◽  
Vol 317-319 ◽  
pp. 988-991
Author(s):  
Fu Bao Li ◽  
Qin Li ◽  
Zhong Ke Li
Keyword(s):  
Nonlinear Problem ◽  
Relative Motion ◽  
Linear Array ◽  
Linear Displacement ◽  
External Factors ◽  
Displacement Sensor ◽  
Transverse Displacement ◽  
Displacement Sensors ◽  
Ccd Array ◽  
The Relationship

Linear displacement sensor is a component, which can convert the displacement into electrical signals, and is used to measure the relative motion between components. Because the relationship between output of sensor and stroke power is nonlinear and it may be affected by external factors, the circuit should be compensated and the sensor should be calibrated. In this research, the LED formed light knife in the mechanical slit, lighting on the sensitive CCD array, and the relationship between displacement and CCD photosensitive arrays can be founded. CCD is the discrete components, which has avoided the nonlinear problem. At the same time, because the CCD output is digital, it reduced the measurement time, so that linearity, accuracy, stability, greatly are improved greatly.

An Overview of the Finite Element Method on the Tool-Soil Interacting Problem of Tillage

2014 ◽  
Vol 707 ◽  
pp. 397-400 ◽  
Author(s):  
Xiao Hong Liu ◽  
Yan Yu ◽  
Li Chun Qiu
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Computer Aided Design ◽  
High Efficiency ◽  
Low Cost ◽  
Dynamic Effect ◽  
Research Progress ◽  
The Finite Element Method ◽  
Displacement Fields ◽  
Element Method

This article introduced the up-to-date research progress on the tool-soil interacting problem of tillage; and investigated the situation of constitutive relation usage in the finite element method (FEM). A review including the dynamic effect on the performance of tillage operation with FEM has been conducted. It showed that the virtual reality method with FEM had made much progress in evaluating the tool draft, distribution position of stress and strain, displacement fields and acceleration in soil-tool interactions, soft ware package of computer aided design of tillage tools; it will be a low cost and high efficiency assistive tool in the development procedure of tillage tools, and can be applied to study and analyze the performance of resulting prototypes.

Novel High Precision Digital Curvilinear Displacement Sensor

2010 ◽  
Vol 44-47 ◽  
pp. 326-329
Author(s):  
Liang Hua ◽  
Ju Ping Gu ◽  
Yu Jian Qiang ◽  
Lin Lin Lv
Keyword(s):  
High Precision ◽  
High Frequency ◽  
Low Cost ◽  
Structure Design ◽  
Displacement Sensor ◽  
General Application ◽  
Interface Circuit ◽  
Displacement Sensors ◽  
Working Principle ◽  
Displacement Based

This study put forward a novel high precision digital curvilinear displacement sensor.The high frequency pulses were used to represent the magnitude of curvilinear displacement based on geometry analyse. The mechanical structure design of the sensor was completed. The working principle of curvilinear displacement sensor was analyzed in detail. The hardware and software design of the interface circuit of the sensor was completed and the performance of the sensor was analyzed. Compared with the traditional curvilinear displacement sensors, the sensor proposed in this paper has features of high precision, efficiency, explicit structure, low cost, wide measuring range, no need to adjust zero and it has general application value in industry field.

Finite element analysis of layered, variable density, ball bearings based on pearl and turtle shell bionic structures

2020 ◽  
Vol 72 (6) ◽  
pp. 779-787
Author(s):  
Jing Hu ◽  
Qiong-Ying Lv ◽  
Xin-Ming Zhang ◽  
Zeng-Yan Wei ◽  
Hai Long Li
Keyword(s):  
Finite Element ◽  
Peer Review ◽  
Variable Density ◽  
Ball Bearings ◽  
The Finite Element Method ◽  
Analytic Hierarchy ◽  
Element Analysis ◽  
Content Type ◽  
Analytic Hierarchy Process Method ◽  
Hierarchy Process

Purpose This paper aims to present ball bearings with a composite structure based on the bionics principle and shows the comparison between five types of different structures. Design/methodology/approach By means of the finite element method, the stress and other parameters between different structures are compared and verified. Finally, the comprehensive parameters of different structures are evaluated by the analytic hierarchy process method. Findings The evaluation of the comprehensive parameters of five types of structures is shown here. Originality/value The value of this paper is calculated and compared to the parameters of five types of different structures, and the parameter score evaluation of each structure is given. Different structures can be selected according to different parameter requirements, which to provide a theoretical basis for the design of ball bearings. Peer review The peer review history for this article is available at: https://publons.com/publon10.1108/ILT-10-2019-0413

Coupling of finite element method and integral formulation for vector Helmholtz equation

2018 ◽  
Vol 37 (4) ◽  
pp. 1405-1417
Author(s):  
Sebastian Grabmaier ◽  
Matthias Jüttner ◽  
Wolfgang Rucker
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Helmholtz Equation ◽  
Three Dimensional ◽  
Boundary Integral ◽  
Integral Formulation ◽  
The Finite Element Method ◽  
Content Type ◽  
Wide Range ◽  
Element Method

Purpose Considering the vector Helmholtz equation in three dimensions, this paper aims to present a novel approach for coupling the finite element method and a boundary integral formulation. It is demonstrated that the method is well-suited for many realistic three-dimensional problems in high-frequency engineering. Design/methodology/approach The formulation is based on partial solutions fulfilling the global boundary conditions and the iterative interaction between them. In comparison to other coupling formulation, this approach avoids the typical singularity in the integral kernels. The approach applies ideas from domain decomposition techniques and is implemented for a parallel calculation. Findings Using confirming elements for the trace space and default techniques to realize the infinite domain, no additional loss in accuracy is introduced compared to a monolithic finite element method approach. Furthermore, the degree of coupling between the finite element method and the integral formulation is reduced. The accuracy and convergence rate are demonstrated on a three-dimensional antenna model. Research limitations/implications This approach introduces additional degrees of freedom compared to the classical coupling approach. The benefit is a noticeable reduction in the number of iterations when the arising linear equation systems are solved separately. Practical implications This paper focuses on multiple heterogeneous objects surrounded by a homogeneous medium. Hence, the method is suited for a wide range of applications. Originality/value The novelty of the paper is the proposed formulation for the coupling of both methods.

scholarly journals Multimodeling of multi-alterated structures in the Arlequin framework

2008 ◽  
pp. 969-980
Author(s):  
Hachmi Ben Dhia ◽  
Nadia Elkhodja ◽  
François-Xavier Roux
Keyword(s):  
Finite Element Method ◽  
Finite Element ◽  
Simple Structure ◽  
Low Cost ◽  
Numerical Results ◽  
Complex Structures ◽  
The Finite Element Method ◽  
Low Costs ◽  
Element Method

The goal of this work is the development of a numerical methodology for flexible and low-cost computation and/or design of complex structures that might have been obtained by a multialteration of a sound simple structure. The multimodel Arlequin framework is herein used to meet the flexibility and low-costs requirements. A preconditioned FETI-like solver is adapted to the solution of the discrete mixed Arlequin problems obtained by using the Finite Element Method. Enlightening numerical results are given.

An analogy between analytical, approximate and numerical methods in nonlinear buckling of functionally graded columns

2021 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Kaveh Salmalian ◽  
Ali Alijani ◽  
Habib Ramezannejad Azarboni
Keyword(s):  
Differential Equation ◽  
Finite Element ◽  
Finite Difference ◽  
Stiffness Matrix ◽  
Functionally Graded ◽  
The Finite Element Method ◽  
Content Type ◽  
Tangent Stiffness Matrix ◽  
Initial Assumption ◽  
Post Buckling

Purpose The purpose of this study is to investigate the post-buckling analysis of functionally graded columns by using three analytical, approximate and numerical methods. A pre-defined function as an initial assumption for the post-buckling path is introduced to solve the differential equation. The finite difference method is used to approximate the lateral deflection of the column based on the differential equation. Moreover, the finite element method is used to derive the tangent stiffness matrix of the column. Design/methodology/approach The non-linear buckling analysis of functionally graded materials is carried out by using three analytical, finite difference and finite element methods. The elastic deformation and Euler-Bernoulli beam theory are considered to establish the constitutive and kinematics relations, respectively. The governing differential equation of the post-buckling problem is derived through the energy method and the calculus variation. Findings An incremental iterative solution and the perturbation of the displacement vector at the critical buckling point are performed to determine the post-buckling path. The convergence of the finite element results and the effects of geometric and material characteristics on the post-buckling path are investigated. Originality/value The key point of the research is to compare three methods and to detect error sources by considering the derivation process of relations. This comparison shows that a non-incremental solution in the analytical and finite difference methods and an initial assumption in the analytical method lead to an error in results. However, the post-buckling path in the finite element method is traced by the updated tangent stiffness matrix in each load step without any initial limitation.

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