scholarly journals A New Methodology for Measuring Tsunami Resilience Using Theory of Springs

Geosciences ◽  
2020 ◽  
Vol 10 (11) ◽  
pp. 469
Author(s):  
Dinil Pushpalal ◽  
Atsushi Suzuki
Keyword(s):  
Social Sciences ◽  
Mathematical Model ◽  
Conceptual Framework ◽  
Natural Philosophy ◽  
Theory Of Elasticity ◽  
Recovery Potential ◽  
Effective Spring Constant ◽  
The Individual ◽  
The Mathematical Model ◽  
Mechanical Arts

Resilience is a deeply rooted word in theory of elasticity, which is firstly introduced to English by Thomas Young in 1807 in his treatise “A course of lectures on natural philosophy and the mechanical arts”. However, recently it is frequently used in ecology, economics, social sciences, and as everyone knows in the disaster literature. The purpose of this article is to investigate the mechanical background of word resilience, discuss lessons we could learn from the theory of elasticity for evaluating tsunami resilience, and finally, to propose a new mathematical model based on theory of springs. The mathematical model is in compliance with a pragmatic conceptual framework for evaluating resilience. The effective resilience of a given area can be calculated by aggregation of three components namely, onsite capacity, instantaneous survivability, and recovery potential of the area. The authors suggest that the magnitude of each component depends on socioeconomic, infrastructural and geographical factors of the area considered. Here, we show that aggregation of the individual components can be done in compliance with the theory of springs by analogizing effective tsunami resilience to effective spring constant. The mathematical model will be useful for evaluating the resilience of townships to hydrological disasters and also planning resilient townships, specifically to tsunami.

Kinematic and Stiffness Analysis of an Origami-Type Carton

2013 ◽  
Author(s):  
C. Qiu ◽  
Vahid Aminzadeh ◽  
Jian S. Dai
Keyword(s):  
Experimental Data ◽  
Mathematical Model ◽  
Angular Velocity ◽  
Kinematic Analysis ◽  
Stiffness Analysis ◽  
Revolute Joints ◽  
Stiffness Characteristics ◽  
The Individual ◽  
The Mathematical Model ◽  
Equivalent Mechanism

This paper investigates the stiffness characteristics of an origami-type carton, which can be modeled into an equivalent mechanism by considering creases as revolute joints and panels as links. Stiffness characteristics of a single crease is investigated regarding its relationships with folding angular velocity and crease length. Based on the kinematic analysis of carton folding, the aggregated stiffness is obtained by integrating the individual crease stiffness into the equivalent mechanism. Finally experiment results of carton folding manipulation are obtained, and comparisons between the mathematical model and experimental data show that the model predicts the carton’s behaviour well.

The frame thinking, i.e. the individual – but generalized – thought experiment supported by participant observation

2021 ◽  
Vol 3 ◽  
pp. 21-39
Author(s):  
Grzegorz Trela
Keyword(s):  
Social Sciences ◽  
Conceptual Framework ◽  
Euclidean Geometry ◽  
Thought Experiment ◽  
Participant Observation ◽  
Oral Culture ◽  
Cultural Traditions ◽  
Humanities And Social Sciences ◽  
The Individual

The essay presents an outline of the arguments for relativistic theses. Theses: about the theoretical incommensurability and undetermined translation interpreted in ethnic languages (Polish and Swahili). I justify the statement that the conceptual framework of individual languages – by analogy – to the analysed examples are mutually and fundamentally untranslatable. Untranslatable, at least concerning the fundamentally different cultural traditions characterizing the civilization of writing versus oral culture. I also indirectly justify the legitimacy of questioning the linear concept of development based on the involuntary acceptance in the humanities and social sciences of Euclidean geometry. Consequently, the article is part of a series of publications in which I argue for the need to reconstruct fundamental epistemological categories.

scholarly journals A software package for modeling the propagation of dynamic wave disturbances in heterogeneous multi-scale media

2021 ◽  
Vol 2056 (1) ◽  
pp. 012012
Author(s):  
N. Khokhlov
Keyword(s):  
Mathematical Model ◽  
Software Package ◽  
Heterogeneous Media ◽  
Numerical Algorithms ◽  
Theory Of Elasticity ◽  
Multi Scale ◽  
Wave Disturbances ◽  
The Mathematical Model ◽  
Selection Of ◽  
Dynamic Wave

Abstract The paper considers a software package designed to simulate the propagation of dynamic wave disturbances in heterogeneous media. One of the main features of the considered software package is numerical algorithms with an explicit selection of inhomogeneities. Within the framework of the work, such inhomogeneities as pores, fractures and interfaces between media (contact boundaries) are considered. The considered algorithms make it possible to perform calculations in different scale settings in micro and macro sizes. The mathematical model is based on the equations of the linear theory of elasticity. For the calculation, block structural meshes are used. The software package is parallelized using MPI and OpenMP technologies. Separate parts of the algorithm are parallelized using graphics accelerators such as GPGPU. The paper describes the features of the algorithms under consideration and provides examples of calculations that demonstrate the capabilities of the algorithm.

scholarly journals Deformation of cylindrical shells of steel 45 under complex loading

2019 ◽  
Vol 97 ◽  
pp. 04025
Author(s):  
Stepan Cheremnykh ◽  
Vladimir Zubchaninov ◽  
Vadim Gultyaev
Keyword(s):  
Mathematical Model ◽  
Plastic Deformation ◽  
Circular Cylindrical Shell ◽  
Compressive Force ◽  
Complex Loading ◽  
Theory Of Elasticity ◽  
Complex Nature ◽  
State Technical ◽  
Axial Compressive Force ◽  
The Mathematical Model

Reviewing the numerical simulation of the process of non-proportional elastic-plastic deformation of steel 45 by a knot of constant curvature, taking into account the complex nature of deformation under complex subcritical loading by axial compressive force and torque for a thin-walled circular cylindrical shell. The theory of Quas and simple processes of A. A. Ilyushin and the mathematical model of V. Zubchaninov were applied taking into consider the parameters of the complex loading for plane trajectories To assess the accuracy of accepted theories, the simulation results are compared with experimental results, received on the automated complex СNcomputer in the laboratory of the faculty of «Strength of materials and theory of elasticity and plasticity» of the Tver state technical University. Was introduced the scheme of calculations disproportionate plastic deformation of steel 45 using the proposed mathematical model showed a satisfactory result and recommended for further use. Remarks, that in the described processes the lack of some parameters complex loading in approximations reduces the accuracy of the final calculated values, differences significantly compared to the experimental data.

Determining Power Losses in Helical Gear Mesh: Case Study

2003 ◽  
Author(s):  
Petra Heingartner ◽  
David Mba
Keyword(s):  
Mathematical Model ◽  
Capital Expenditure ◽  
Rolling Friction ◽  
Power Losses ◽  
Energy Usage ◽  
Helical Gears ◽  
Gear Mesh ◽  
The Individual ◽  
The Mathematical Model

Currently legislation is in place to encourage a reduction in energy usage. As such there is an increased demand for machinery with higher efficiencies, not only to reduce the operational costs of the machinery, but also to cut capital expenditure. The power losses associated with the gear mesh can be divided into speed and load dependant losses. This paper reviews some of the mathematical models proposed for the individual components associated with these losses, such as windage, churning, sliding and rolling friction loses. A mathematical model is proposed which predicts the power losses on helical gears highlighting the major contributor to losses in the gear mesh. Furthermore, the mathematical model is validated with a case study.

NUMERICAL RESEARCH OF THE RETAINING CONSTRUCTIONS DURING THE RECONSTRUCTION OF THE TRANSPORT STRUCTURES

Transport ◽  
2012 ◽  
Vol 27 (4) ◽  
pp. 357-363 ◽  
Author(s):  
Dmitry Prusov
Keyword(s):  
Mathematical Model ◽  
Half Space ◽  
Nonlinear Theory ◽  
Strain State ◽  
Theory Of Elasticity ◽  
Band Pass ◽  
Numerical Research ◽  
The Mathematical Model ◽  
Nonlinear Theory Of Elasticity ◽  
Research Analysis

The research analysis of interaction artificial retaining constructions with a non-uniform soil basis has been performed during the reconstruction of the transport structures. The mathematical model of soil semi-space research with the use of the nonlinear theory of elasticity is developed. The results of numerous researches of stress-strain state fencing constructions of the overpass in interaction with multilayer heterogeneous half-space and surfaces under the influence of band-pass loading are represented in the current paper.

DETERMINATION OF PERFORMANCE INDICATORS OF THE TRUCK KrAZ-6510TE

2020 ◽  
pp. 19-26
Author(s):  
Olexandr Pavlenko ◽  
Serhii Dun ◽  
Maksym Skliar
Keyword(s):  
Mathematical Model ◽  
Surface Friction ◽  
Building Structures ◽  
Maximum Torque ◽  
Military Equipment ◽  
Military Vehicles ◽  
Force Magnitude ◽  
Vehicle Mobility ◽  
The Mathematical Model

In any economy there is a need for the bulky goods transportation which cannot be divided into smaller parts. Such cargoes include building structures, elements of industrial equipment, tracked or wheeled construction and agricultural machinery, heavy armored military vehicles. In any case, tractor-semitrailer should provide fast delivery of goods with minimal fuel consumption. In order to guarantee the goods delivery, tractor-semitrailers must be able to overcome the existing roads broken grade and be capable to tow a semi-trailer in off-road conditions. These properties are especially important for military equipment transportation. The important factor that determines a tractor-semitrailer mobility is its gradeability. The purpose of this work is to improve a tractor-semitrailer mobility with tractor units manufactured at PJSC “AutoKrAZ” by increasing the tractor-semitrailer gradeability. The customer requirements for a new tractor are determined by the maximizing the grade to 18°. The analysis of the characteristics of modern tractor-semitrailers for heavy haulage has shown that the highest rate of this grade is 16.7°. The factors determining the limiting gradeability value were analyzed, based on the tractor-semitrailer with a KrAZ-6510TE tractor and a semi-trailer with a full weight of 80 t. It has been developed a mathematical model to investigate the tractor and semi-trailer axles vertical reactions distribution on the tractor-semitrailer friction performances. The mathematical model has allowed to calculate the gradeability value that the tractor-semitrailer can overcome in case of wheels and road surface friction value and the tractive force magnitude from the engine. The mathematical model adequacy was confirmed by comparing the calculations results with the data of factory tests. The analysis showed that on a dry road the KrAZ-6510TE tractor with a 80 t gross weight semitrailer is capable to climb a gradient of 14,35 ° with its coupling mass full use condition. The engine's maximum torque allows the tractor-semitrailer to overcome a gradient of 10.45° It has been determined the ways to improve the design of the KrAZ-6510TE tractor to increase its gradeability. Keywords: tractor, tractor-semitrailer vehicle mobility, tractor-semitrailer vehicle gradeability.

EXPERIMENTAL STUDIES OF CAR PROPERTIES ON A PHYSICAL MODEL

2019 ◽  
pp. 10-16
Author(s):  
Oleksii Timkov ◽  
Dmytro Yashchenko ◽  
Volodymyr Bosenko
Keyword(s):  
Mathematical Model ◽  
Remote Control ◽  
Physical Model ◽  
Model Experiment ◽  
Experimental Studies ◽  
Electrical Energy ◽  
Short Term ◽  
Motor Current ◽  
Memory Card ◽  
The Mathematical Model

The article deals with the development of a physical model of a car equipped with measuring, recording and remote control equipment for experimental study of car properties. A detailed description of the design of the physical model and of the electronic modules used is given, links to application libraries and the code of the first part of the program for remote control of the model are given. Atmega microcontroller on the Arduino Uno platform was used to manage the model and register the parameters. When moving the car on the memory card saved such parameters as speed, voltage on the motor, current on the motor, the angle of the steered wheel, acceleration along three coordinate axes are recorded. Use of more powerful microcontrollers will allow to expand the list of the registered parameters of movement of the car. It is possible to measure the forces acting on the elements of the car and other parameters. In the future, it is planned to develop a mathematical model of motion of the car and check its adequacy in conducting experimental studies on maneuverability on the physical model. In addition, it is possible to conduct studies of stability and consumption of electrical energy. The physical model allows to quickly change geometric dimensions and mass parameters. In the study of highway trains, this approach will allow to investigate the various layout schemes of highway trains in the short term. It is possible to make two-axle road trains and saddle towed trains, three-way hitched trains of different layout. The results obtained will allow us to improve not only the mathematical model, but also the experimental physical model, and move on to further study the properties of hybrid road trains with an active trailer link. This approach allows to reduce material and time costs when researching the properties of cars and road trains. Keywords: car, physical model, experiment, road trains, sensor, remote control, maneuverability, stability.

RESEARCH OF INDICATORS OF A VEHICLE WITH A DIESEL WORKING ON DIESEL AND DIESEL GAS CYCLES USING THE MATHEMATICAL MODEL

2020 ◽  
pp. 14-19
Author(s):  
Serhii Kovbasenko ◽  
Andriy Holyk ◽  
Serhii Hutarevych
Keyword(s):  
Mathematical Model ◽  
Diesel Engine ◽  
Environmental Performance ◽  
Energy Performance ◽  
Dual Fuel ◽  
Fuel System ◽  
Compressed Natural Gas ◽  
Diesel Vehicles ◽  
Diesel Cycle ◽  
The Mathematical Model

The features of an advanced mathematical model of motion of a truck with a diesel engine operating on the diesel and diesel gas cycles are presented in the article. As a result of calculations using the mathematical model, a decrease in total mass emissions as a result of carbon monoxide emissions is observed due to a decrease in emissions of nitrogen oxides and emissions of soot in the diesel gas cycle compared to the diesel cycle. The mathematical model of a motion of a truck on a city driving cycle according to GOST 20306-90 allows to study the fuel-economic, environmental and energy indicators of a diesel and diesel gas vehicle. The results of the calculations on the mathematical model will make it possible to conclude on the feasibility of converting diesel vehicles to using compressed natural gas. Object of the study – the fuel-economic, environmental and energy performance diesel engine that runs on dual fuel system using CNG. Purpose of the study – study of changes in fuel, economic, environmental and energy performance of vehicles with diesel engines operating on diesel and diesel gas cycles, according to urban driving cycle modes. Method of the study – calculations on a mathematical model and comparison of results with road tests. Bench and road tests, results of calculations on the mathematical model of motion of a truck with diesel, working on diesel and diesel gas cycles, show the improvement of environmental performance of diesel vehicles during the converting to compressed natural gas in operation. Improvement of environmental performance is obtained mainly through the reduction of soot emissions and nitrogen oxides emissions from diesel gas cycle operations compared to diesel cycle operations. The results of the article can be used to further develop dual fuel system using CNG. Keywords: diesel engine, diesel gas engine, CNG

Glycemia monitoring

1998 ◽  
Vol 2 ◽  
pp. 23-30
Author(s):  
Igor Basov ◽  
Donatas Švitra
Keyword(s):  
Diabetes Mellitus ◽  
Mathematical Model ◽  
Numerical Methods ◽  
Differential Equations ◽  
Blood Sugar ◽  
Self Regulation ◽  
Physiological System ◽  
Non Linear ◽  
The Mathematical Model

Here a system of two non-linear difference-differential equations, which is mathematical model of self-regulation of the sugar level in blood, is investigated. The analysis carried out by qualitative and numerical methods allows us to conclude that the mathematical model explains the functioning of the physiological system "insulin-blood sugar" in both normal and pathological cases, i.e. diabetes mellitus and hyperinsulinism.

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