scholarly journals Study of kinetic processes during candied fruits industrial saturation

2020 ◽  
Vol 3 (2) ◽  
pp. 102-108
Author(s):  
I.O. Huzova ◽  
◽  
V.М. Atamanyuk ◽  
Keyword(s):  
Mathematical Model ◽  
Experimental Setup ◽  
Sugar Syrup ◽  
Mathematical Generalization ◽  
Kinetic Processes

The process of saturation of sucrose particles of pumpkin fruits is considered. An experimental setup for saturation of fruit particles with sugar under conditions of intensive pneumatic mixing was developed. The kinetic dependences of the saturation of candied fruits and changes in the concentration of sugar syrup under various temperatures were obtained. The saturation conditions are compared for various ratios of “candied fruit: syrup”. A mathematical generalization confirms the ratio “candied fruit: syrup” selected by the authors of the article. According to the chosen mathematical model, a generalization of the results of studies on the saturation of pumpkin fruit particles with sugar under the conditions of a change in time with concentration of both candied fruit and syrup was made.

Modal Analysis of the Axial Compressor Blade: Advanced Time-Dependent Electronic Interferometry and Finite Element Method

2020 ◽  
Vol 0 (0) ◽  
Author(s):  
Mykhaylo Tkach ◽  
Serhii Morhun ◽  
Yuri Zolotoy ◽  
Irina Zhuk
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Finite Element ◽  
High Reliability ◽  
Axial Compressor ◽  
Time Dependent ◽  
Experimental Setup ◽  
Vibration Modes ◽  
Compressor Blades ◽  
Isoparametric Finite Element

AbstractNatural frequencies and vibration modes of axial compressor blades are investigated. A refined mathematical model based on the usage of an eight-nodal curvilinear isoparametric finite element was applied. The verification of the model is carried out by finding the frequencies and vibration modes of a smooth cylindrical shell and comparing them with experimental data. A high-precision experimental setup based on an advanced method of time-dependent electronic interferometry was developed for this aim. Thus, the objective of the study is to verify the adequacy of the refined mathematical model by means of the advanced time-dependent electronic interferometry experimental method. The divergence of the results of frequency measurements between numerical calculations and experimental data does not exceed 5 % that indicates the adequacy and high reliability of the developed mathematical model. The developed mathematical model and experimental setup can be used later in the study of blades with more complex geometric and strength characteristics or in cases when the real boundary conditions or mechanical characteristics of material are uncertain.

Thickness Deformation of Constrained Layer Damping: An Experimental and Theoretical Evaluation

2000 ◽  
Vol 123 (2) ◽  
pp. 213-221 ◽  
Author(s):  
Peter Y. H. Huang ◽  
Per G. Reinhall ◽  
I. Y. Shen ◽  
Jessica M. Yellin
Keyword(s):  
Mathematical Model ◽  
Transfer Functions ◽  
Viscoelastic Layer ◽  
Experimental Setup ◽  
Experimental Measurements ◽  
Constrained Layer Damping ◽  
Response Functions ◽  
Theoretical Evaluation ◽  
Calculated Frequency ◽  
Direct Measurements

This paper presents a study of thickness deformation of the viscoelastic material in constrained layer damping (CLD) treatments. The first goal of the study is to demonstrate the feasibility of using direct measurement to investigate thickness deformation in CLD treatments. The experimental setup consisted of a constrained layer beam cantilevered to a shaker, an accelerometer mounted at the cantilevered end, and two laser vibrometers that simultaneously measured the responses of the base beam and the constraining layer, respectively, at the free end. A spectrum analyzer calculated frequency response functions (FRFs) between the accelerometer inputs and the vibrometer outputs. Measured FRFs of the base beam and the constraining layer were compared to detect thickness deformation. Experimental results showed that direct measurements can detect thickness deformation as low as 0.5 percent. The second goal is to evaluate the accuracy of a mathematical model developed by Miles and Reinhall [7] that accounts for thickness deformation. FRFs were calculated by using the method of distributed transfer functions by Yang and Tan [13]. Comparison of the numerical results with the experimental measurements indicated that consideration of thickness deformation can improve the accuracy of existing constrained layer damping models when the viscoelastic layer is thick.

A Mathematical Model to Examine Issues Associated With Using Portable Force-Measurement Technologies to Collect Infant Postural Data

2020 ◽  
Vol 8 (1) ◽  
pp. 14-37 ◽  
Author(s):  
James R. Chagdes ◽  
Joshua J. Liddy ◽  
Amanda J. Arnold ◽  
Laura J. Claxton ◽  
Jeffrey M. Haddad
Keyword(s):  
Mathematical Model ◽  
Center Of Pressure ◽  
Force Measurement ◽  
Low Cost ◽  
Body Sway ◽  
Support Surface ◽  
Experimental Setup ◽  
Mathematical Simulations ◽  
Additional Support

Portable force-measurement technologies are becoming increasingly popular tools to examine the maturation of postural motor milestones, such as sitting and standing, in infants. These convenient, low-cost devices provide numerous opportunities to characterize postural development outside of the laboratory. However, it is important to understand the unique challenges and technical limitations associated with collecting center of pressure (CoP) data using portable force-measurement technologies in infant populations. This study uses a mathematical model to examine issues that emerge when using portable force-measurement technologies to collect sitting and standing postural data in infants. The results of our mathematical simulations demonstrate that the CoP errors from portable force-measurement technologies depend on the posture examined (e.g., sitting vs. standing), the anthropometrics of the person (e.g., height and weight), the frequency of body sway, and the experimental setup (e.g., an additional support surface being placed on top of the device). Recommendations are provided for developmental researchers interested in adopting these technologies in infant populations.

scholarly journals Study of the Hygrothermal Behavior of Wood Fiber Insulation Subjected to Non-Isothermal Loading

2019 ◽  
Vol 9 (11) ◽  
pp. 2359 ◽  
Author(s):  
Zakaria Slimani ◽  
Abdelkrim Trabelsi ◽  
Joseph Virgone ◽  
Roberto Zanetti Freire
Keyword(s):  
Mathematical Model ◽  
Water Vapor ◽  
Wood Fiber ◽  
Water Vapor Adsorption ◽  
Vapor Concentration ◽  
Transfer Model ◽  
Experimental Setup ◽  
State Variables ◽  
Strongly Coupled ◽  
Latent Effects

Building envelopes are constantly subjected to temperature and moisture gradients. This loading induces a complex response, particularly for highly hygroscopic insulating materials. Latent effects can no longer be neglected for these materials in which heat and moisture transfers are strongly coupled. The purpose of this article is to analyze the behavior of a wood fiber insulation subjected to non-isothermal loading under a vapor concentration gradient. An experimental setup and a mathematical model of hygrothermal transfer were developed to analyze the behavior of the wall. The mathematical model describes the main physical phenomena involved, notably water vapor adsorption and the dependence of thermophysical properties in state variables. The experimental setup developed allows studying a wall under controlled conditions. The temperature and relative humidity profiles within the wall were measured. The evolution of the profiles with time suggests that the adsorption of the water vapor occurs together with the redistribution of liquid water within the envelope. The comparison of the experimental results with the numerical model shows good agreement although the prediction can be improved during the transient phase. The comparisons of these results with a purely diffusive thermal transfer model show the limits of the latter and permit quantifying the latent effects on the total heat transfer.

scholarly journals Machine Directional Register System Modeling for Shaft-Less Drive Gravure Printing Machines

2013 ◽  
Vol 2013 ◽  
pp. 1-10 ◽  
Author(s):  
Shanhui Liu ◽  
Xuesong Mei ◽  
Jian Li ◽  
Li'e Ma
Keyword(s):  
Mathematical Model ◽  
System Modeling ◽  
System Model ◽  
Experimental Setup ◽  
Gravure Printing ◽  
Servo Motor ◽  
Definition Of ◽  
The Mathematical Model ◽  
Register Error ◽  
Control Accuracy

In the latest type of gravure printing machines referred to as the shaft-less drive system, each gravure printing roller is driven by an individual servo motor, and all motors are electrically synchronized. The register error is regulated by a speed difference between the adjacent printing rollers. In order to improve the control accuracy of register system, an accurate mathematical model of the register system should be investigated for the latest machines. Therefore, the mathematical model of the machine directional register (MDR) system is studied for the multicolor gravure printing machines in this paper. According to the definition of the MDR error, the model is derived, and then it is validated by the numerical simulation and experiments carried out in the experimental setup of the four-color gravure printing machines. The results show that the established MDR system model is accurate and reliable.

Mathematical Models for Calculation of Crack Resistance of Composite Materials

2017 ◽  
Vol 736 ◽  
pp. 68-72
Author(s):  
Sergey I. Koryagin ◽  
Oleg V. Sharkov ◽  
Nikolay L. Velikanov
Keyword(s):  
Mathematical Model ◽  
Composite Materials ◽  
Crack Propagation ◽  
Mathematical Models ◽  
Crack Resistance ◽  
Energy Criterion ◽  
Independent Parameter ◽  
Radius Of Curvature ◽  
Experimental Setup ◽  
Type I

Crack resistance is an important parameter determining the carrying capacity and durability of composite materials in which as a binding element apply adhesive compositions. Estimation of crack resistance is usually carried out using an energy criterion – specific energy of crack propagation. Existing mathematical models to determine the value of crack resistance do not always give reliable results, because they can contain several dependent variables. In the article the mathematical models of the two types for calculation of crack propagation energy, which includes only one independent parameter, which needs to be defined experimentally are received. For the mathematical model of type I on the experimental setup it is necessary to define value of bending moment at which the formation of crack. Use of mathematical model of II type does not demand experimental setup as independent parameter is the radius of curvature of the bent beams.

scholarly journals Importance of Modeling and Simulation of Materials in Research

2018 ◽  
Vol 1 (1) ◽  
pp. 1-2
Keyword(s):  
Mathematical Model ◽  
Dynamical Systems ◽  
Modeling And Simulation ◽  
System Modeling ◽  
Experimental Results ◽  
Experimental Setup ◽  
Complex Dynamical Systems ◽  
Inputs And Outputs

All researchers have experience with various complicated phenomena and processes in materials and have contact with understanding of different complex dynamical systems. Consequently, one has to predict and optimize the system under study and compare the output results to its experimental setup. The experimental setup is done to confirm and spread out information about the system; however still, many researchers are not familiar with the results arising from the experimental setup or fabrications processes. To obtain valid experimental results, it is necessary to pay carful attentions to the tools, devices and the applied techniques for measuring and observations detectors. This experimentations and fabrications process cover all area from forming and characterizations of nanostructures to macrostructures. In system characterizations, it is common to apply system modeling to predict and represent the system by a mathematical model that is accomplishable due to the relations between the inputs and outputs defined by formulas.

scholarly journals DYNAMIC FRICTION BEHAVIOR IN PRE-SLIDING REGIME OF PNEUMATIC ACTUATORS

2017 ◽  
Vol 7 (1) ◽  
pp. 50-68
Author(s):  
Tran Xuan Bo ◽  
Do Viet Long ◽  
Hideki Yanada
Keyword(s):  
Mathematical Model ◽  
Friction Model ◽  
Experimental Setup ◽  
Lugre Model ◽  
Friction Behavior ◽  
Pneumatic Actuators ◽  
Simulation Results ◽  
Model Of Friction ◽  
Force Displacement ◽  
Pneumatic Cylinders

This paper focuses on investigating friction behavior in pre-sliding regime and developing a new mathematical model of friction for fluid power actuators. Using pneumatic cylinders with different sizes, an experimental setup is built to measure friction force-displacement characteristics in presliding regime under various conditions of pressures in the cylinder chambers. A new mathematical model of friction for the pneumatic cylinders is proposed by incorporating a hysteresis function into the new modified LuGre model. The experimental results show that when the pressures are varied, friction of the pneumatic cylinders in pre-sliding regime is represented by behavior of a nonlinear spring. In addition, hysteresis behavior with nonlocal memory is obtained in the friction forcedisplacement characteristics and that the size of the hysteresis loop is increased with increasing pressures in the cylinder chambers. The simulation results show that the new friction model can accurately simulate the friction behavior of the pneumatic cylinders in pre-sliding regime as well as sliding regime.

Frictional Behavior of Aluminium MMC Foam Synthesized Using Dual Foaming Agent

2017 ◽  
Vol 5 (2) ◽  
pp. 18-32
Author(s):  
Shamim Haidar ◽  
Mukandar Sekh ◽  
Joyjeet Ghose ◽  
Goutam Sutradhar
Keyword(s):  
Mathematical Model ◽  
Present Article ◽  
Coefficient Of Friction ◽  
Aluminium Foam ◽  
Experimental Setup ◽  
Specific Density ◽  
Foaming Agent ◽  
Foaming Agents ◽  
Frictional Behavior ◽  
Frictional Properties

In the present article, an attempt is made to develop aluminium foam indigenously. The experimental setup for the production of aluminium foam is designed and fabricated. Investigation are made into the use of dual foaming agents (i.e. TiH2 and CaCO3) along with SiC to develop suitable aluminium foams which can be utilized for various engineering products like load-bearing elements, crash resistance elements etc. The process is standardized to produce aluminium foam with specific density with minimum variability. This aluminium foam produced possesses a very low coefficient of friction. This work successfully characterized the frictional properties of the developed material. In order to define the Frictional properties of this material, a mathematical model which uniquely defines the frictional behavior of this modified Al-MMC foam has been developed.

Analytical and experimental characterization of viscous fan clutch performances including thermal dynamics

2016 ◽  
Vol 231 (5) ◽  
pp. 876-891
Author(s):  
Zhihong Yin ◽  
Kegang Zhao ◽  
Wenbin Shangguan ◽  
Liming Song
Keyword(s):  
Mathematical Model ◽  
Laboratory Experiments ◽  
System Development ◽  
Experimental Setup ◽  
Experimental Characterization ◽  
Calculation Algorithm ◽  
Thermal Dynamics ◽  
Proposed Model ◽  
Viscosity Variation

This paper presents an investigation on the performance characterization of viscous fan clutch with double grooves including thermal behaviors. A detailed mathematical model of the fan clutch is established by taking into account the viscosity variation of the viscous fluid with shear radius and temperature, and an iterative algorithm is proposed to calculate the performances of the fan clutch. Laboratory experiments are then carried out on a performance measurement setup for viscous clutch, for validating the proposed mathematical model and calculation method. Based on the verified model and calculation algorithm and the experimental setup, the performances of six alternative viscous fan clutch designs are studied. The combined analytical/experimental results suggest that the clutch performances degrade with the increase of the input speed, and the proposed model and calculate method are valid and can be successfully employed to facilitate the design of new viscous fan clutches as well as control system development, for saving cost and shortening development period.

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