Analytical and Numerical Methods of Research in Mechanical Engineering

Major: lndustrial Machinery Engineering
Code of subject: 8.133.00.O.004
Credits: 4.00
Department: Department of Materials Science and Engineering
Semester: 1 семестр
Mode of study: денна

Analytical and Numerical Methods of Research in Mechanical Engineering

Major: lndustrial Machinery Engineering
Code of subject: 8.133.00.O.005
Credits: 4.00
Department: Department of machine design and avtomotive engineering
Lecturer: associate Professo Velyka Oksana Tarasivna
Semester: 1 семестр
Mode of study: денна
Мета вивчення дисципліни: Studying the main methods of modeling systems and processes in the industry, information modeling technologies, mathematical methods and their means implementation. As a result of studying the academic discipline, the student acquires abilities demonstrate learning outcomes: master basic concepts modeling methods; get acquainted with modern information technologies for modeling systems and processes in the field of mechanical engineering; acquiring work skills in the implementation of mathematical methods for the purpose of application them in scientific research and practical work
Завдання: Professional competences: FK1. Research abilities. Acquisition of substantive knowledge of the industry mechanical engineering, in particular, mastering the basic concepts of the development of mechanical engineering, understanding the theoretical and practical problems facing modern mechanical engineering, the history of development and the current state of scientific research in this field. Ability to carry out original research in industrial mechanical engineering and achieve new results that create new knowledge with special attention to current tasks (problems and using the latest methods. Possessing knowledge in the field of mechanical engineering and fundamental sciences, necessary for mastering the disciplines, provide knowledge in the chosen specialty and disciplines of the graduate student's free choice. FK4. Data analysis skills. Ability to analyze theoretical data and experimental data in the relevant field of mechanical engineering, which may require the use of appropriate computing resources. Acquisition of intellectual property registration skills
Learning outcomes: ЗН1 Ability to demonstrate meaningful knowledge of the relevant field branch mechanical engineering and understanding of the philosophical methodology of scientific knowledge, psycho-pedagogical aspects of professional and scientific activities, one's own scientific outlook and moral and cultural values, which will provide an opportunity to critically analyze the situation in the field of mechanical engineering. ЗН6. The ability to evaluate the technological system in terms of its modeling and imitations of it as an object of research; be able to choose appropriate methods research and modeling, principles of building models; apply the received models for process and equipment design; definition optimal process schemes and equipment operation modes; optimize management of production processes. ЗН9. The ability to use it competently and reasonably mathematical apparatus for solving branch problems. UM2. The ability to apply skills and knowledge to solve problems of synthesis and analysis of elements and systems characteristic of the chosen field of scientific research UM3. The ability to integrate and apply the knowledge gained from different interdisciplinary fields in the process of solving theoretical and applied tasks in a specific area of ??research. UM9. The ability to apply the acquired knowledge from various subject areas of industrial mechanical engineering for the formulation and justification of new theoretical provisions and practical recommendations in the researched issues of scientific research. UM10. The ability to choose the right theoretically based and empirically verified simplifications of dynamic and statistical processes in aggregates and systems of wheeled vehicles for correct application methodologies and tools of scientific research. UM 11. Ability to apply acquired knowledge for formulation and substantiation of new theoretical provisions and practical recommendations in a specific area of ??research
Required prior and related subjects: Higher mathematics Methods of mathematical processing of experimental research Research methods in industrial mechanical engineering
Summary of the subject: The program of the academic discipline "Analytical and numerical research methods in mechanical engineering" includes consideration and classification of research methods of technological processes and systems, as well as numerical methods that provide scientific research in the field
Опис: Features and characteristics of numerical methods. Basic concepts of error theory. Numerical methods of solving nonlinear equations. Analytical and graphical method of root separation. Numerical methods of solving systems of nonlinear equations. Simple iteration method. Newton's method. Direct and iterative methods of solving a system of linear equations. Numerical analytical methods of solving differential equations. Different one-step and multi-step methods. Basics of statistics and data analysis. Statistical testing of hypotheses about the distribution.
Assessment methods and criteria: Diagnostics of the knowledge of students is carried out according to the following methods: 1. Defense of reports for practical works in oral form by surveying theoretical material on the topic of the work and research methodology. 2. Conducting a written exam based on the results of studying the discipline, which consists of test tasks. 3. Conducting the oral component based on the results of the written exam, the questions of which are based on the content of practical tasks
Критерії оцінювання результатів навчання: written reports on practical work, oral survey (40%) final control (60%, test, exam): written and oral form (60%)
Порядок та критерії виставляння балів та оцінок: 00–88 points – (“excellent”) is awarded for a high level of knowledge (some inaccuracies are allowed) of the educational material of the component contained in the main and additional recommended literary sources, the ability to analyze the phenomena being studied in their interrelationship and development, clearly, succinctly, logically, consistently answer the questions, the ability to apply theoretical provisions when solving practical problems; 87–71 points – (“good”) is awarded for a generally correct understanding of the educational material of the component, including calculations, reasoned answers to the questions posed, which, however, contain certain (insignificant) shortcomings, for the ability to apply theoretical provisions when solving practical tasks; 70 – 50 points – (“satisfactory”) awarded for weak knowledge of the component’s educational material, inaccurate or poorly reasoned answers, with a violation of the sequence of presentation, for weak application of theoretical provisions when solving practical problems; 49-26 points - ("not certified" with the possibility of retaking the semester control) is awarded for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to apply theoretical provisions when solving practical problems; 25-00 points - ("unsatisfactory" with mandatory re-study) is awarded for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to navigate when solving practical problems, ignorance of the main fundamental provisions.
Recommended books: 1.Бахвалов Н. С. Численные методы . Т. И. Анализ, алгебра, обычные диференциальные уравнения. – М.: Наука, 1975. – 631 с 2..Вища математика: Означення, приклади та задачі.Ч1. . Під ред.Г.Л.Кулініча,К.:В-во "Либідь" при КНУ ім.Т.Г.Шевченка,1992. . 3. Вища математика: Означення, приклади та задачі. Ч.2. Під ред. В.В.Василь-ченко,К.:В-во"Либідь" при КНУ ім.Т.Г.Шевченка, 1992. 4..Дифференциальное и интегральное нечисленне для втузов.-М.: Наука,1990,-т. 1,2. . 5.. Інтегральне числення. Укладачі: Рудавський Ю.К., Костробій П.П., Уханська 6.В. та інші, 1990. 6..Пальчевський Б.О. Дослідження технологічних систем (моделювання, проектування, оптимізація): Навч. посібник. - Львів: світ, 2001.- 232 с. 7.. Самойленко Л.М., Кривошея С.А., Перестюк М. О. Диференційні рівняння у прикладах і задачах. Київ, "Вища школа", 1994. 8. Стоцько 3. А. Моделювання технологічних систем. / Навчальний посібник. НВК ВО при Міністерстві освіти України, 2014 1. «Принципи розв’язання задач, що зводяться до нелінійних рівнянь». Методичні вказівки до практичних робіт з курсу «Математичне забезпечення наукових досліджень в галузі». Видавництво Національного університету „Львівська політехніка”2018р/Укл. Велика О.Т.,Бойко М.В., Топільницький В.Г., Лясковська С.Є.р 2.Рудавський Ю.К., Костробій П.П. та ін. Математичний аналіз: Навчальний посібник.- Ч.І.-Львів: В-во НУ "Львівська політехніка",2003.-404с. 3.Диференціальне числення функцій однієї змінної та його застосування. Укладачі: Колісник В.М., Барвінський А.Ф., Томецька СІ. та інші., 1997 1. Велика О.Т. «Методи моделювання систем і процесів в галузі». Навчально- методичний комплекс. Віртуальне навчальне середовище НУ «Львівська політехніка». Сертифікат № 04002. Адреса: http://vns.lpnu.ua/course/view.php?id=10684. 2. Велика О.Т. «Математичне забезпечення наукових досліджень в галузі». Навчально- методичний комплекс. Віртуальне навчальне середовище НУ «Львівська політехніка. сертифікат № 03116 http://vns.lpnu.ua/course/view.php?id=7996 3. .http://www.mif.pu.if.ua/attachments/article/24-02-11/Chys_metody_Voznjak_Sharyn.pdf 4. .http://www.repository.hneu.edu.ua/jspui/bitstream/123456789/8310/1/%D0%A7%D0%98%D0%A1%D0%95%D0%9B%D0%AC%D0%9D%D0%86%20%D0%9C%D0%95%D0%A2%D0%9E%D0%94%D0%98.pdf 5. http://dls.ksu.kherson.ua/DLS/Library/LibdocView.aspx?id=bbd94fad-a930-49da-952c-df2838670a5b
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Analytical and Numerical Methods of Research in Mechanical Engineering

Major: lndustrial Machinery Engineering
Code of subject: 8.133.00.O.003
Credits: 4.00
Semester: 1 семестр
Mode of study: денна