Strain gauge placement optimization methodology to measure multiaxial loads of complex structure

Author(s):  
Jan Růžička

The use of a strain gauge to measure loads is, in some respects, similar to its use in determining stress, but a different approach is required. In load measurement, it is necessary to compile a suitably selected configuration of strain gauges, which can be used to measure often very complex loads of the structure. For designing the engine mount instrumentation for the Flying Test Bed, an optimization tool has been developed. The algorithm and the theory behind the instrumentation design are described in detail. The basic principle is to find the strain gauge configuration that eliminates the measurement error due to the noise in the measured signal as much as possible. The input for optimization is the strain response of the structure to the applied loads analyzed using the FE model. In contrast to the common strategy using purely stochastic methods, this developed tool uses a hybrid approach based on a combination of a heuristic approach with repeated deterministic local optimization. The optimization is focused on the connection of a simple uni-axial strain gauge to a quarter-bridge and a T-rosette to a half-bridge that provides temperature compensation. Furthermore, an approach is proposed that takes into account the possibility of failure of some strain gauges. The instrumentation is thus robust and allows to obtain quality data even in the event of failure of some of the strain gauges.

2021 ◽  
Author(s):  
Muhammad Saleem

The goal of this study was to validate the results from infrared thermographic experiment by strain gauge experiments and finite element analysis (FEA) in a carbon epoxy composite plate within the linear elastic limit. A FE model of the plate was first developed and subjected to static loads. The strain values were recorded at four distinct points. Then an experiment using strain gauges was carried out for similar loading conditions and the strains were noted for the corresponding locations. The slope of the correlation plot between the FEA and strain gauge static results indicated that, although the strain gauge experimental values had an overall tendency to overestimate the strain, there was a strong correlation between the data as exhibited by the Pearson coefficient R² = 0.99. Then the stresses calculated from the strain gauge experiment under cyclic tensile loads were used to validate the results from lock-in thermography. These results also showed good agreement as R² was 0.87 and strain gauges experiement tended to underestimate the stress values. From this study, it can be concluded that lock-in thermography can be used to assess stresses in biomaterials used in medical application.


2021 ◽  
Author(s):  
Muhammad Saleem

The goal of this study was to validate the results from infrared thermographic experiment by strain gauge experiments and finite element analysis (FEA) in a carbon epoxy composite plate within the linear elastic limit. A FE model of the plate was first developed and subjected to static loads. The strain values were recorded at four distinct points. Then an experiment using strain gauges was carried out for similar loading conditions and the strains were noted for the corresponding locations. The slope of the correlation plot between the FEA and strain gauge static results indicated that, although the strain gauge experimental values had an overall tendency to overestimate the strain, there was a strong correlation between the data as exhibited by the Pearson coefficient R² = 0.99. Then the stresses calculated from the strain gauge experiment under cyclic tensile loads were used to validate the results from lock-in thermography. These results also showed good agreement as R² was 0.87 and strain gauges experiement tended to underestimate the stress values. From this study, it can be concluded that lock-in thermography can be used to assess stresses in biomaterials used in medical application.


Author(s):  
Egleide Y. Elenes ◽  
Esra Roan ◽  
Ruxandra C. Marinescu ◽  
Haden A. Janda

The use of mechanical analogue composite bone models for a range of biomechanical analyses and testing procedures has grown rapidly since their introduction by Sawbones (Pacific Research Laboratories, Inc., Vashon, WA). The advantages of these composite bones over cadaveric human bones include less variability among specimens, ready availability, lower costs and ease of handling. The fourth generation of Sawbones is now commercially available, which include human femurs, tibiae, humeri and hemipelves. A number of these composite bone models have been mechanically evaluated, i.e. the femur and tibia models, but others such as the hemipelvis have been neglected. However, the composite hemipelvis has been used in several biomechanical research studies; therefore, mechanical validation of the hemipelvis is required. For this study, a robust finite element (FE) model was constructed to investigate the mechanical behavior of a composite left hemipelvis bone model. A computer tomography (CT) scan of the analogue was obtained to produce a computer aided volumetric model. This model was imported and discretized in ABAQUS (Simulia, Providence, RI). In order to reduce computational costs, two-dimensional (2D) shell elements were used to mesh the thin cortical bone layer, while the cancellous bone region was meshed with solid, three-dimensional (3D) tetrahedral elements. A series of FE tests were performed on various shell-solid element domains, to ensure the use of 2D shell elements to model the cortical layer. Once the shell-solid approach was confirmed, a FE model of the hemipelvis was constructed and validated against strain gauge data from quasi-static loading experiments. Three rosette strain gauges (Vishay Micro-Measurements, Raleigh, NC) were mounted on regions of interest along the pubic body, inferior ramus and ischium of the composite hemipelvis. The hemipelvis was fully restrained in a custom-built fixture while quasi-statically loaded using an MTS Mini Bionix II to control the application of 600 N (MTS Systems Corp, Eden Prairie, MN). Maximum and minimum principal strains were calculated from the strain gauge readings and compared to FE predictions of strain at the mounting location of the strain gauges.


2020 ◽  
Vol 14 (3) ◽  
pp. 7141-7151 ◽  
Author(s):  
R. Omar ◽  
M. N. Abdul Rani ◽  
M. A. Yunus

Efficient and accurate finite element (FE) modelling of bolted joints is essential for increasing confidence in the investigation of structural vibrations. However, modelling of bolted joints for the investigation is often found to be very challenging. This paper proposes an appropriate FE representation of bolted joints for the prediction of the dynamic behaviour of a bolted joint structure. Two different FE models of the bolted joint structure with two different FE element connectors, which are CBEAM and CBUSH, representing the bolted joints are developed. Modal updating is used to correlate the two FE models with the experimental model. The dynamic behaviour of the two FE models is compared with experimental modal analysis to evaluate and determine the most appropriate FE model of the bolted joint structure. The comparison reveals that the CBUSH element connectors based FE model has a greater capability in representing the bolted joints with 86 percent accuracy and greater efficiency in updating the model parameters. The proposed modelling technique will be useful in the modelling of a complex structure with a large number of bolted joints.


Author(s):  
J. Szwedowicz ◽  
S. M. Senn ◽  
R. S. Abhari

Optimum placements of the strain gauges assure reliable vibration measurements of structural components such as rotating blades. Within the framework of cyclic vibration theory, a novel approach has been developed for computation of the optimum gauge positions on tuned bladed discs regarding the determined sensitivity, orthogonality, gradient and distance criteria. The utilized genetic algorithm optimization tool allows for an effective numerical search of suitable solutions of the defined optimization function. A rotating impeller disc represented by a cyclic finite element model demonstrates the application of this method. The present technique can be easily applied to other structural components requiring optimal strain gauge instrumentation.


2021 ◽  
Vol 12 (4) ◽  
pp. 98-116
Author(s):  
Noureddine Boukhari ◽  
Fatima Debbat ◽  
Nicolas Monmarché ◽  
Mohamed Slimane

Evolution strategies (ES) are a family of strong stochastic methods for global optimization and have proved their capability in avoiding local optima more than other optimization methods. Many researchers have investigated different versions of the original evolution strategy with good results in a variety of optimization problems. However, the convergence rate of the algorithm to the global optimum stays asymptotic. In order to accelerate the convergence rate, a hybrid approach is proposed using the nonlinear simplex method (Nelder-Mead) and an adaptive scheme to control the local search application, and the authors demonstrate that such combination yields significantly better convergence. The new proposed method has been tested on 15 complex benchmark functions and applied to the bi-objective portfolio optimization problem and compared with other state-of-the-art techniques. Experimental results show that the performance is improved by this hybridization in terms of solution eminence and strong convergence.


2021 ◽  
Author(s):  
Pradeep Lall ◽  
Jinesh Narangaparambil ◽  
Tony Thomas ◽  
Kyle Schulze

Abstract Printed electronics has found new applications in wearable electronics owing to the opportunities for integration, and the ability of sustaining folding, flexing and twisting. Continuous monitoring necessitates the production of sensors, which include temperature, humidity, sweat, and strain sensors. In this paper, a process study was performed on the FR4 board while taking into account multiple printing parameters for the direct-write system. The process parameters include ink pressure, print speed, and stand-off height, as well as their effect on the trace profile and print consistency using white light interferometry analysis. The printed traces have also been studied for different sintering conditions while keeping the FR4 board’s temperature limit in mind. The paper also discusses the effect of sintering conditions on mechanical and electrical properties, specifically shear load to failure and resistivity. The data from this was then used to print strain gauges and compared them to commercially available strain gauges. By reporting the gauge factor, the printed strain gauge has been standardized. The conductive ink’s strain sensing capabilities will be studied under tensile cyclic loading (3-point bending) at various strain rates and maximum strains. Long-term performance testing will be carried out using cyclic tensile loads.


2019 ◽  
pp. 50-56
Author(s):  
Людмила Володимирівна Кузьмич ◽  
Дмитро Петрович Орнатський ◽  
Володимир Павлович Квасніков

In the article, the principles of construction, design and mathematical modeling of deformation and stresses of complex technical constructions are developed with the help of strain gauges and strain gauges taking into account destabilizing factors, which allows to significantly reduce the level of errors in relation to existing measurement methods and known analogs.The method of digital compensation provides a more significant reduction in the errors of measuring transducers compared with the method of analog compensation. Features and technical indicators of this method are considered on an example of measuring pressure transducer with foil strain gauges.This method is universal, allows us to adjust not only the errors of the measurement channel nonlinearity and additional errors but also the errors associated with the effect of interferences of the general type due to ground resistance, which induces the connection between the measuring channels of the main and destabilizing factor.The disadvantages of this method include a significant amount of computations, which sharply increases with increasing order of approximating polynomials.The purpose is to develop a method and means of measuring stress-strain state using strain gauge, free from the above - mentioned shortcomings.The main destabilizing factors that limit the measurement accuracy using strain gauge are:- random processes (noises, obstacles, etc.);- changes in parameters of measuring transducers due to aging and physical degradation;- effects of external climatic and mechanical factors (temperature, humidity, etc.).The influence of the main destabilizing factors limiting the accuracy of the measurement of the stress-strain state of complex technical constructions with the help of strain gauges was analyzed, among which the influences of external climatic and mechanical factors are one of the most important ones. Regarding the systematic components, the most important in statistical measurements are the errors of nonlinearity and the temperature component of the error.For the study, two main alloys were taken, which today has the widest use as a material for strain gauges - it is constantan and karma. For these materials, the influence of the range of temperature changes, the spread of the values of temperature error on the mean-square value of the error of approximation by power polynomials was investigated.Using the NUMERY package, the dependence of the approximation error on the order of the approximating polyphony was determined. It is established that the mean square error value in the wide temperature range for both constantan and karma has a weak correlation with the order of a polynomial.


Actuators ◽  
2021 ◽  
Vol 10 (12) ◽  
pp. 317
Author(s):  
Saddam Gharab ◽  
Selma Benftima ◽  
Vicente Feliu Batlle

In this paper, a method to control one degree of freedom lightweight flexible manipulators is investigated. These robots have a single low-frequency and high amplitude vibration mode. They hold actuators with high friction, and sensors which are often strain gauges with offset and high-frequency noise. These problems reduce the motion’s performance and the precision of the robot tip positioning. Moreover, since the carried payload changes in the different tasks, that vibration frequency also changes producing underdamped or even unstable time responses of the closed-loop control system. The actuator friction effect is removed by using a robust two degrees of freedom PID control system which feeds back the actuator position. This is called the inner loop. After, an outer loop is closed that removes the link vibrations and is designed based on the combination of the singular perturbation theory and the input-state linearization technique. A new controller is proposed for this outer loop that: (1) removes the strain gauge offset effects, (2) reduces the risk of saturating the actuator due to the high-frequency noise of strain gauges and (3) achieves high robustness to a change in the payload mass. This last feature prompted us to use a fractional-order PD controller. A procedure for tuning this controller is also proposed. Simulated and experimental results are presented that show that its performance overcomes those of PD controllers, which are the controllers usually employed in the input-state linearization of second-order systems.


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