scholarly journals Calculation and simulation of the parachutist's movement from the jump from the aircraft to landing on the ground

2021 ◽  
Author(s):  
Martin Beník ◽  
◽  
Ľubomír Kováčik
Keyword(s):  
Mathematical Model ◽  
Free Fall ◽  
Second Law ◽  
Model Based ◽  
Newton's Second Law ◽  
The Impact

In this article, we focus on the movement of the parachutist from the jump from the plane to the impact on the ground. By creating a mathematical model based on Newton's second law, we create simulations, based on which we can determine whether the movement of a parachutist after jumping from a plane is a "free fall", or whether the action of forces and his position in the air affects the direction of his flight.

scholarly journals Laboratory Stand for Simplified Verification of Missile Dynamics for Didactic Purposes

2021 ◽  
Vol 0 (0) ◽  
Author(s):  
Adam Rowicki ◽  
Grzegorz Kopecki
Keyword(s):  
Mathematical Model ◽  
Control System ◽  
Coordinate System ◽  
Second Law ◽  
Matlab Simulink ◽  
Pi Regulator ◽  
System Parameters ◽  
Proportional Integral ◽  
Roll System ◽  
Newton's Second Law

Abstract The purpose of this study was to describe dynamics of missile based on bibliography, simplify the model to the easiest form, and verify it with the use of a designed laboratory stand. Next, a simple control system of the missile was designed. The stand is prepared for didactic purposes. A mathematical model was derived by applying Newton's second law together with the earth's coordinate system and the base coordinate system. Parameters of the actual rocket model were determined using the created laboratory stand. Synthesis of the rocket roll system was designed using Simulink PID Tuner application (MathWorks, Inc. Natick, Massachusetts, USA). A control system was based on a proportional-integral (PI) regulator. The designed control system was subjected to simulated tests in MATLAB Simulink (MathWorks, Inc. Natick, Massachusetts, USA).

scholarly journals Characterizing the Transmission Dynamics of the Cases Registered by Covid-19 in Venezuela According to Epidemic Wave and the Value of the Mantissa

2020 ◽  
Vol 2 (2) ◽  
pp. 8-12
Author(s):  
Raúl Isea
Keyword(s):  
Mathematical Model ◽  
Input Data ◽  
Transmission Dynamics ◽  
Model Based ◽  
The Government ◽  
The Impact ◽  
Epidemic Wave ◽  
Over Time

This work characterizes the transmission dynamics of the cases registered by Covid-19 in Venezuela. The needed input data were obtained from the official gazettes issued by the Government of Venezuela, from March 15 to September 9, 2020. Later, the value of the mantissa was determined, revealing the impact of the different outbreaks with special attention to the events at the baseball stadium in Nueva Esparta State, and the Las Pulgas Market located in Maracaibo. Finally, a mathematical model based on four epidemic waves revealed that the cases are increasing significantly over time after the episode that occurred in the Las Pulgas Market.

scholarly journals An examination of drivers and barriers to reducing carbon emissions in China’s manufacturing sector

2017 ◽  
Vol 28 (4) ◽  
pp. 1168-1195 ◽  
Author(s):  
Nachiappan Subramanian ◽  
Muhammad Abdulrahman
Keyword(s):  
Structural Equation ◽  
Manufacturing Sector ◽  
Developed Countries ◽  
Sem Analysis ◽  
Equation Modeling ◽  
Second Law ◽  
Content Type ◽  
Newton's Second Law ◽  
And Performance ◽  
The Impact

Purpose Carbon Efficient Practices (CEPs) are gaining momentum due to the serious consequences of climate change. While past studies have focused on the effects of either drivers or barriers to green practices especially in the context of developed countries, relatively little attention has been devoted to the simultaneous effects of drivers and barriers on product redesign, particularly in the context of China. The paper aims to discuss these issues. Design/methodology/approach Using a blend of the Contextual Interaction Theory and Newton’s second law of motion, this paper proposes a conceptual model that simultaneously examines the impact of CEP drivers and barriers on product redesign and performance. Findings Structural Equation Modeling (SEM) analysis on a sample of 239 Chinese manufacturing firms indicated that drivers had substantially higher effects on product redesign and performance compared to the influence of other barriers. Originality/value Use of Newton’s second law of motion as a theoretical framework for understanding the adoption of CEPs in the context of China is novel. Implications of this pattern of results on academic theory building and practice are offered.

The Research on Iron and Steel Enterprises Operation Model Based on the Characteristics of the Accessories Resources

2013 ◽  
Vol 291-294 ◽  
pp. 2955-2959
Author(s):  
Yan Hong Wang ◽  
Hua Zhang ◽  
Zhi Gang Jiang ◽  
Gang Zhao
Keyword(s):  
Mathematical Model ◽  
Sustainable Development ◽  
Environmental Impact ◽  
Steel Industry ◽  
Emission Factors ◽  
Operation Model ◽  
Iron And Steel ◽  
Model Based ◽  
Save Energy ◽  
The Impact

For the iron and steel enterprises are CO2 emitters, the reduction of CO2 emission is the requirement to save energy, protect environment and sustainable development of the steel industry. This article research on iron and steel enterprises operation model based on the characteristics of the accessories resources. And on the analysis of the impact of CO2 emission factors, a mathematical model is built to reveal how the accessories resources influence the steel manufacture system's resource consumption and environmental impact.

Multi-Level Linear Flexible Inverted Pendulum Modeling

2014 ◽  
Vol 518 ◽  
pp. 290-296 ◽  
Author(s):  
Tu Xu ◽  
Cui Fang Zhang
Keyword(s):  
Mathematical Model ◽  
Control Algorithm ◽  
Inverted Pendulum ◽  
Dissipation Function ◽  
Second Law ◽  
Control Performance ◽  
Lagrange Equations ◽  
Multi Level ◽  
Newton's Second Law

Linear flexible inverted pendulum is a very good platform for testing control algorithm. A new algorithm will usually be used to control linear inverted pendulum in order to detect its control performance. Before that, you need to know the exact mathematical model of the inverted pendulum. Known modeling of multi-level linear flexible inverted pendulum used Newton's second law, in the case of ignoring the mass obtained, therefore, there are imprecise situation. Here the use of Lagrange equations with dissipation function, consider the quality of the mass of the multi-level linear flexible inverted pendulum modeling to obtain a more accurate mathematical model.

scholarly journals You Need Three Butterflies to Cause a Hurricane

2020 ◽  
Vol 67 (1) ◽  
pp. 139-155
Author(s):  
Gianluca Piero Maria Virgilio
Keyword(s):  
Mathematical Model ◽  
Flash Crash ◽  
Audit Trail ◽  
Model Based ◽  
Suggestive Evidence ◽  
Two Factors ◽  
High Volatility ◽  
Stop Loss ◽  
The Impact ◽  
Abnormal Events

The aim of this study is verifying the impact of high volatility, scarce liquidity and stop-loss orders on abnormal events like the May 6, 2010 Flash Crash. The paper assumes those three factors to be the main drivers, proposes a mathematical model based upon them and analyses audit trail data to verify whether those factors actually were at the origin of that event. It uses the concept of 'run', an uninterrupted sequence of trades all occurring in the same direction and compares volatility, liquidity and occurrence of stop-loss orders over the analysis period. The results found provide suggestive evidence that a combination of the three factors contributed to the crash. Each of them, taken individually, does not usually lead to extreme behaviours. Even two factors together may not disturb the orderly functioning of the markets but the combination of volatility, scarce liquidity and stop-loss orders may lead to a crisis.

The Impact of Light Polarisation on Light Field of Scenes with Multiple Reflections

2020 ◽  
pp. 108-115 ◽  
Author(s):  
Vladimir P. Budak ◽  
Anton V. Grimaylo
Keyword(s):  
Mathematical Model ◽  
Light Field ◽  
Global Illumination ◽  
Multiple Reflections ◽  
Software Environment ◽  
The Monte Carlo Method ◽  
Mueller Matrices ◽  
Volume Integration ◽  
The Impact

The article describes the role of polarisation in calculation of multiple reflections. A mathematical model of multiple reflections based on the Stokes vector for beam description and Mueller matrices for description of surface properties is presented. On the basis of this model, the global illumination equation is generalised for the polarisation case and is resolved into volume integration. This allows us to obtain an expression for the Monte Carlo method local estimates and to use them for evaluation of light distribution in the scene with consideration of polarisation. The obtained mathematical model was implemented in the software environment using the example of a scene with its surfaces having both diffuse and regular components of reflection. The results presented in the article show that the calculation difference may reach 30 % when polarisation is taken into consideration as compared to standard modelling.

Analyzing the Impact of Healthy Behavior on Weight Change with a Provable Mathematical Model (Preprint)

2020 ◽  
Author(s):  
Ayan Chatterjee ◽  
Ram Bajpai ◽  
Pankaj Khatiwada
Keyword(s):  
Physical Activity ◽  
Mathematical Model ◽  
Health Behavior ◽  
Weight Change ◽  
Simulated Data ◽  
Negative Behavior ◽  
Healthy Behavior ◽  
Healthy Habits ◽  
Lifestyle Diseases ◽  
The Impact

BACKGROUND Lifestyle diseases are the primary cause of death worldwide. The gradual growth of negative behavior in humans due to physical inactivity, unhealthy habit, and improper nutrition expedites lifestyle diseases. In this study, we develop a mathematical model to analyze the impact of regular physical activity, healthy habits, and a proper diet on weight change, targeting obesity as a case study. Followed by, we design an algorithm for the verification of the proposed mathematical model with simulated data of artificial participants. OBJECTIVE This study intends to analyze the effect of healthy behavior (physical activity, healthy habits, and proper dietary pattern) on weight change with a proposed mathematical model and its verification with an algorithm where personalized habits are designed to change dynamically based on the rule. METHODS We developed a weight-change mathematical model as a function of activity, habit, and nutrition with the first law of thermodynamics, basal metabolic rate (BMR), total daily energy expenditure (TDEE), and body-mass-index (BMI) to establish a relationship between health behavior and weight change. Followed by, we verified the model with simulated data. RESULTS The proposed provable mathematical model showed a strong relationship between health behavior and weight change. We verified the mathematical model with the proposed algorithm using simulated data following the necessary constraints. The adoption of BMR and TDEE calculation following Harris-Benedict’s equation has increased the model's accuracy under defined settings. CONCLUSIONS This study helped us understand the impact of healthy behavior on obesity and overweight with numeric implications and the importance of adopting a healthy lifestyle abstaining from negative behavior change.

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