scholarly journals Modelling approaches in biomechanics

2003 ◽  
Vol 358 (1437) ◽  
pp. 1429-1435 ◽  
Author(s):  
R. McN Alexander
Keyword(s):  
Mathematical Models ◽  
Conceptual Models ◽  
Semicircular Canals ◽  
Physical Models ◽  
Anatomical Changes ◽  
Body Segments ◽  
Insect Wings ◽  
Calculated Effect ◽  
3D Assembly ◽  
Physical And Mathematical Models

Conceptual, physical and mathematical models have all proved useful in biomechanics. Conceptual models, which have been used only occasionally, clarify a point without having to be constructed physically or analysed mathematically. Some physical models are designed to demonstrate a proposed mechanism, for example the folding mechanisms of insect wings. Others have been used to check the conclusions of mathematical modelling. However, others facilitate observations that would be difficult to make on real organisms, for example on the flow of air around the wings of small insects. Mathematical models have been used more often than physical ones. Some of them are predictive, designed for example to calculate the effects of anatomical changes on jumping performance, or the pattern of flow in a 3D assembly of semicircular canals. Others seek an optimum, for example the best possible technique for a high jump. A few have been used in inverse optimization studies, which search for variables that are optimized by observed patterns of behaviour. Mathematical models range from the extreme simplicity of some models of walking and running, to the complexity of models that represent numerous body segments and muscles, or elaborate bone shapes. The simpler the model, the clearer it is which of its features is essential to the calculated effect.

scholarly journals Mathematical models and methods of numerical investigation of processes which accompany aircraft icing

2021 ◽  
Vol 33 (5) ◽  
pp. 237-248
Author(s):  
Ivan Alekseevich Amelyushkin ◽  
Maksim Aleksandrovich Kudrov ◽  
Alexey Olegovich Morozov ◽  
Andrey Sergeevich Shcheglov
Keyword(s):  
Numerical Modeling ◽  
Mathematical Models ◽  
High Performance ◽  
Practical Importance ◽  
Particle Dynamics ◽  
Software Systems ◽  
Aircraft Icing ◽  
Properties Of Coatings ◽  
Practical Applications ◽  
Physical And Mathematical Models

The study of aircraft icing modes, in which it is necessary to take into account the effect of droplet crushing, is of great interest in calculating the icing of aircraft, optimizing the hydrophobic and anti-icing properties of coatings, and is relevant in a number of other practical applications. Of great practical importance is the development of high-performance methods for calculating the interaction of aerosol flows with a solid. This work is devoted to the development of a model of particle dynamics, as well as a model of fragmentation of supercooled droplets of an aerosol flow during its interaction with the surface of a streamlined body. Developed physical and mathematical models can be used in software systems for numerical modeling of aircraft icing.

scholarly journals ЦИФРОВІ ТЕХНОЛОГІЇ У ФОРМУВАННІ МОДЕЛЕЙ ПЕРЕХІДНИХ ПРОЦЕСІВ В ІНДУКТИВНОСТІ ТА ЄМНОСТІ

2021 ◽  
Vol 1 (2) ◽  
pp. 330-340
Author(s):  
G. O. SHYSHKIN ◽  
Keyword(s):  
Mathematical Models ◽  
Digital Technologies ◽  
Physical Experiment ◽  
Physical Models ◽  
Measuring System ◽  
Digital Measuring ◽  
Physics Teaching ◽  
Qualitative Level ◽  
Physical Quantities

An important role in the formation of qualitative knowledge of physics in the modern education system is played by students` ability to present the processes being studied at a qualitative level. Formation of students' abilities and skills to construct figurative physical models, finding mathematical dependences between physical quantities is one of the urgent problems of physics teaching methods. Our research is devoted to the problem of the formation of high-quality imaginary models of physical processes among physics students on the basis of an educational experiment and digital technologies. To improve the quality of teaching physics, the necessity of forming physical and mathematical models of the studied processes among future specialists is substantiated. On the example of experimental study of processes occurring in DC circuits, which contain inductors and capacitors, a method of forming their imaginary and mathematical models is proposed. A digital measuring system with a personal computer was used in the research. It is proved that conducting a physical experiment with simultaneous display of research results in the form of tables and graphs contributes to the formation of a qualitative level of physical models. To form students' skills of building mathematical models of the studied processes, it is proposed to use software that allows to analyze the results of the experiment. The analysis of graphs of the studied processes allows to select mathematical dependences and to calculate necessary coefficients. The use of digital technologies and related programs provides a quick finding of mathematical models. Changing the parameters of the studied objects while finding the corresponding mathematical dependencies allows students to establish relationships between mathematical symbols and physical quantities. This approach provides students with the ability to find mathematical models of these processes or objects. The results of the implementation of the proposed method showed that the use of digital measuring systems in the educational physical experiment significantly improves the quality of students' learning of new material. Key words: physical experiment, model, digital technologies, extra current, inductance, capacitance.

scholarly journals ANALYSIS OF PHYSICAL AND MATHEMATICAL MODELS OF STRESSED MAGNETOANISOTROPIC STRUCTURES

2020 ◽  
Vol 22 (4) ◽  
pp. 86-91
Author(s):  
A.E. Dubinin ◽  
◽  
A.A. Dubinin ◽  
F.R. Akhmadullin ◽  
◽  
...  
Keyword(s):  
Mathematical Models ◽  
Physical And Mathematical Models

scholarly journals Implementation of Mathematical Models of Buck Converter using MatLab/Simulink

2021 ◽  
pp. 516-520
Author(s):  
S. Krishnaveni Krishnaveni
Keyword(s):  
Mathematical Model ◽  
Mathematical Models ◽  
State Space Model ◽  
Buck Converter ◽  
Physical Models ◽  
Transfer Function Model ◽  
Function Model ◽  
Space Model ◽  
Modeling Techniques ◽  
And Control

The study of the dynamic behavior, transient response and the characteristics of the converters require deep knowledge in mathematical models. Mathematical models have been adequately used in the design and control of DC-DC converters and also the mathematical models are more suitable than the physical models. This paper describes the four modeling techniques of a buck converter, circuit model, mathematical model, state space model and transfer function model, and their implementation in Simulink environment.

Physical and mathematical models for space objects breakup and fragmentation in hypervelocity collisions

2020 ◽  
Vol 176 ◽  
pp. 598-608 ◽  
Author(s):  
N.N. Smirnov ◽  
A.B. Kiselev ◽  
A.I. Nazarenko ◽  
V.V. Tyurenkova ◽  
I.V. Usovik
Keyword(s):  
Mathematical Models ◽  
Space Objects ◽  
Physical And Mathematical Models

scholarly journals Rainfall Runoff Modelling Based on Genetic Programming

2002 ◽  
Vol 33 (5) ◽  
pp. 331-346 ◽  
Author(s):  
Vladan Babovic ◽  
Maarten Keijzer
Keyword(s):  
Genetic Programming ◽  
Conceptual Models ◽  
Linear Time ◽  
Physical Models ◽  
Data Driven ◽  
Rainfall Runoff ◽  
Considerable Time ◽  
Hydrologic Models ◽  
Spatially Distributed ◽  
Using Data

The runoff formation process is believed to be highly non-linear, time varying, spatially distributed, and not easily described by simple models. Considerable time and effort has been directed to model this process, and many hydrologic models have been built specifically for this purpose. All of them, however, require significant amounts of data for their respective calibration and validation. Using physical models raises issues of collecting the appropriate data with sufficient accuracy. In most cases it is difficult to collect all the data necessary for such a model. By using data driven models such as genetic programming (GP), one can attempt to model runoff on the basis of available hydrometeorological data. This work addresses use of genetic programming for creating rainfall-runoff models on the basis of data alone, as well as in combination with conceptual models (i.e taking advantage of knowledge about the problem domain).

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