scholarly journals Predicting the Elastic Modulus of Jute/Polypropylene Composites Using Mathematical Modelling Techniques

2020 ◽  
Author(s):  
Muhammad Saram ◽  
Jianming Yang
Keyword(s):  
Elastic Modulus ◽  
Mathematical Modelling ◽  
Polypropylene Composites ◽  
Modelling Techniques

Suction Energy for Double-Stranded DNA Inside Single-Walled Carbon Nanotubes

2017 ◽  
Vol 70 (4) ◽  
pp. 387-400 ◽  
Author(s):  
Mansoor H Alshehri ◽  
James M Hill
Keyword(s):  
Carbon Nanotubes ◽  
Mathematical Modelling ◽  
Molecular Electronics ◽  
Continuum Approximation ◽  
Suction Force ◽  
Dsdna Molecule ◽  
Double Stranded Dna ◽  
Modelling Techniques ◽  
Dynamics Simulations ◽  
Walled Carbon Nanotubes

Summary Deoxyribonucleic acid (DNA) and carbon nanotubes (CNTs) constitute hybrid materials with the potential to provide new components with many applications in various technology areas, such as molecular electronics, field devices and medical applications. Using classical applied mathematical modelling, we investigate the suction force experienced by a double-stranded DNA (dsDNA) molecule which is assumed to be located on the axis near an open end of a semi-infinite single-walled CNT. We employ both the 6-12 Lennard-Jones potential and the continuum approximation, which assumes that a discrete atomic structure can be replaced by a surface with constant average atomic density. While most research in the area is dominated by molecular dynamics simulations, here we use elementary mechanical principles and classical applied mathematical modelling techniques to formulate explicit analytical criteria and ideal model behaviour. We observe that the suction behaviour depends on the radius of the CNT, and we predict that it is less likely for a dsDNA molecule to be accepted into the CNT when the value of the tube radius is ${<}12.9$ Å. The dsDNA molecule will be accepted into the CNT for radii lager than 13 Å, and we show that the optimal single-walled CNT necessary to fully enclose the DNA molecule has a radius of 13.56 Å, which approximately corresponds to the chiral vector numbers (20, 20). This means that the ideal single-walled CNT to be used to encapsulate a dsDNA is (20, 20) which has the required radius of 13.56 Å.

scholarly journals White noise jammer mathematical modelling and simulation

2020 ◽  
pp. 154851292096222
Author(s):  
Theodoros G Kostis
Keyword(s):  
Mathematical Modelling ◽  
White Noise ◽  
Pulse Repetition Frequency ◽  
Basic Function ◽  
Electronic Warfare ◽  
Radar Systems ◽  
Modelling Techniques ◽  
Mathematical Modelling And Simulation ◽  
Radar Equation

The radar equation is the fundamental mathematical model of the basic function of a radar system. Moreover, there are many versions of the radar equation, which correspond to particular radar operations, like low pulse repetition frequency (PRF), high PRF, or surveillance mode. In many cases, all these expressions of the radar equation exist in their combined forms, giving little information to the actual physics and signal geometry between the radar and the target involved in the process. In this case study, we divide the radar equation into its major steps and present a descriptive mathematical modelling of the radar and other related equations utilizing the free space loss and target gain concepts to simulate the effect of a white noise jammer on an adversary radar. We believe that this work will be particularly beneficial to instructors of radar courses and to radar simulation engineers because of its analytical block approach to the main equations related to the fields of radar and electronic warfare. Finally, this work falls under the field of predictive dynamics for radar systems using mathematical modelling techniques.

scholarly journals Combining Kinetic and Constraint-Based Modelling to Better Understand Metabolism Dynamics

Processes ◽  
2021 ◽  
Vol 9 (10) ◽  
pp. 1701
Author(s):  
Cecile Moulin ◽  
Laurent Tournier ◽  
Sabine Peres
Keyword(s):  
Mathematical Modelling ◽  
Kinetic Parameters ◽  
Time Evolution ◽  
Topological Structure ◽  
Metabolic Networks ◽  
Cellular Metabolism ◽  
Stationary Regime ◽  
The Other ◽  
High Interest ◽  
Modelling Techniques

To understand the phenotypic capabilities of organisms, it is useful to characterise cellular metabolism through the analysis of its pathways. Dynamic mathematical modelling of metabolic networks is of high interest as it provides the time evolution of the metabolic components. However, it also has limitations, such as the necessary mechanistic details and kinetic parameters are not always available. On the other hand, large metabolic networks exhibit a complex topological structure which can be studied rather efficiently in their stationary regime by constraint-based methods. These methods produce useful predictions on pathway operations. In this review, we present both modelling techniques and we show how they bring complementary views of metabolism. In particular, we show on a simple example how both approaches can be used in conjunction to shed some light on the dynamics of metabolic networks.

scholarly journals Foams with Enhanced Ductility and Impact Behavior Based on Polypropylene Composites

Polymers ◽  
2020 ◽  
Vol 12 (4) ◽  
pp. 943 ◽  
Author(s):  
Santiago Muñoz-Pascual ◽  
Cristina Saiz-Arroyo ◽  
Zina Vuluga ◽  
Mihai Cosmin Corobea ◽  
Miguel Angel Rodriguez-Perez
Keyword(s):  
Elastic Modulus ◽  
Cellular Structure ◽  
Glass Fibers ◽  
Halloysite Nanotubes ◽  
Impact Behavior ◽  
Impact Performance ◽  
Polypropylene Composites ◽  
Branched Polypropylene ◽  
Long Chain ◽  
Long Chain Branched Polypropylene

In this work, formulations based on composites of a linear polypropylene (L-PP), a long-chain branched polypropylene (LCB-PP), a polypropylene–graft–maleic anhydride (PP-MA), a styrene-ethylene-butylene-styrene copolymer (SEBS), glass fibers (GF), and halloysite nanotubes (HNT-QM) have been foamed by using the improved compression molding route (ICM), obtaining relative densities of about 0.62. The combination of the inclusion of elastomer and rigid phases with the use of the LCB-PP led to foams with a better cellular structure, an improved ductility, and considerable values of the elastic modulus. Consequently, the produced foams presented simultaneously an excellent impact performance and a high stiffness with respect to their corresponding solid counterparts.

Effect of carbon fiber amount and length on flame retardant and mechanical properties of intumescent polypropylene composites

2017 ◽  
Vol 52 (4) ◽  
pp. 519-530 ◽  
Author(s):  
Lemiye Atabek Savas ◽  
Aysenur Mutlu ◽  
Ali Sinan Dike ◽  
Umit Tayfun ◽  
Mehmet Dogan
Keyword(s):  
Mechanical Properties ◽  
Elastic Modulus ◽  
Carbon Fiber ◽  
Flame Retardant ◽  
Oxygen Index ◽  
Mechanical Test ◽  
Mechanical Analysis ◽  
Limiting Oxygen Index ◽  
Polypropylene Composites ◽  
Index Value

The effects of carbon fiber amount and length were studied on the flame retardant, thermal, and mechanical properties of the intumescent polypropylene composites. The flame retardant properties of the intumescent polypropylene-based composites were investigated using limiting oxygen index, vertical burning test (UL-94), and mass loss calorimeter. The mechanical properties of the composites were studied using tensile test and dynamic mechanical analysis. According to the flammability tests results, the antagonistic interaction was observed between carbon fiber and ammonium polyphosphate. The limiting oxygen index value reduced steadily as the added amount of carbon fiber increased. Mechanical test results revealed that the addition of carbon fiber increased the tensile strength and the elastic modulus as the added amount increased. No effect of carbon fiber length was observed on the flammability, fire performance, and tensile properties of composites, whereas the elastic modulus increased as the carbon fiber initial length increased.

scholarly journals A Clinically Oriented Introduction and Review on Finite Element Models of the Human Cochlea

2014 ◽  
Vol 2014 ◽  
pp. 1-8 ◽  
Author(s):  
Dimitrios Kikidis ◽  
Athanasios Bibas
Keyword(s):  
Finite Element ◽  
Mathematical Modelling ◽  
Finite Element Models ◽  
Methodological Issues ◽  
Pathological Conditions ◽  
Clinical Scenarios ◽  
Modelling Techniques ◽  
Modelling Assumptions ◽  
Insight Into

Due to the inaccessibility of the inner ear, direct in vivo information on cochlear mechanics is difficult to obtain. Mathematical modelling is a promising way to provide insight into the physiology and pathology of the cochlea. Finite element method (FEM) is one of the most popular discrete mathematical modelling techniques, mainly used in engineering that has been increasingly used to model the cochlea and its elements. The aim of this overview is to provide a brief introduction to the use of FEM in modelling and predicting the behavior of the cochlea in normal and pathological conditions. It will focus on methodological issues, modelling assumptions, simulation of clinical scenarios, and pathologies.

Mathematical modelling of rotary vane engines

2003 ◽  
Vol 217 (6) ◽  
pp. 687-704 ◽  
Author(s):  
R W Tucker ◽  
C Wang ◽  
B V Librovich
Keyword(s):  
Mathematical Modelling ◽  
Dynamic Behaviour ◽  
Rigid Body Dynamics ◽  
Rolling Motion ◽  
Two Dimensional ◽  
Linear Ordinary Differential Equations ◽  
First Approximation ◽  
Body Dynamics ◽  
Modelling Techniques ◽  
Physical Principles

This paper introduces mathematical modelling techniques that are designed to analyse the dynamic behaviour of a class of rotary vane engines. These engines employ non-circular gears for the transmission of primary torque and the modelling explores ways to ensure that torque fluctuations in the flywheel are small. The basic physical principles of rigid-body dynamics are used to formulate a system of non-linear ordinary differential equations describing the rolling motion of two-dimensional rigid laminae. It is argued that such a system offers a valuable first approximation for the study of a realistic engine consisting of two connected combustion units.

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