Dynamics and Durability of Machines

Major: Applied Mechanics
Code of subject: 8.131.00.M.023
Credits: 3.00
Department: Department of Robotics and Integrated Mechanical Engineering Technologies
Lecturer: Kuzio Ihor
Semester: 4 семестр
Mode of study: денна
Мета вивчення дисципліни: Professional training of a PhD candidate in the specialty 131 "Applied Mechanics", capable of solving complex problems and issues in the field of mechanical engineering and carrying out innovative professional activities in the context of sustainable innovative scientific and technological development of society and the formation of high adaptability of graduate students in the context of labor market transformation through interaction with employers and other stakeholders. In particular, to solve problems related to: assessing the strength and service life (including residual life) of units, components and structural elements of the engineering industry, taking into account current international best practices; creating new models of machinery and equipment; developing and supporting a wide range of high-tech engineering projects; experimental validation of parameters and characteristics of materials, equipment, machine and mechanism designs.
Завдання: The main training consists of acquiring theoretical knowledge and practical skills in the general principles of mechanics, various variants of mechanical systems and the laws of their behavior in static and dynamic conditions; mastering the ability to move from a real machine to an abstract equivalent scheme, taking into account the structural properties of machine elements and its mechanisms; familiarization with analytical methods of studying the operating modes of machines using an equivalent circuit, dynamic model and full-scale samples; study of methods for calculating drive power, performance, strength, durability of equipment based on the initial data, taking into account the operating conditions of the equipment; familiarization with modern methods of analysis and synthesis of mechanisms, strength calculations and design of elements of mining machinery and equipment, criteria for assessing the reliability of machines; familiarization with methods for assessing the harmful effects of vibrations
Learning outcomes: Ability to apply the basic principles of theoretical mechanics, mechanics of rigid deformable bodies, applied theory of mechanical oscillations and use analytical and numerical research methods to solve practical engineering problems. Gain skills in applying differential equations to solve specific problems that arise in the creation and operation of mechanisms and machines for various purposes.
Required prior and related subjects: Prerequisites: mathematics, theoretical mechanics, resistance of materials, theory of mechanisms and machines Co-requisites: analytical and numerical research methods, applied theory of mechanical oscillations, research and modeling of processes in technological systems
Summary of the subject: Load in the elements of mechanisms and machines. Classification of deformations. Static and dynamic strength. Mechanical systems. Geometry of the masses. Reduction of external forces, masses and moments of inertia. Application of basic theorems in problems of machine dynamics. Solid state dynamics. Differential equations of motion of a rigid body. Theory of horoscopes. Principles of mechanics. D'Alembert's principle. The principle of possible movements. Static and dynamic equilibrium. Elements of analytical mechanics. General equation of dynamics. Lagrange's equation of the second kind. Calculation schemes, mathematical models and basic equations of dynamics. Drive and brake systems of machines. Dynamic loads and oscillations of drive systems. Dynamics of drive systems and examples of engineering calculations.
Опис: Dynamics of a solid body. Differential equations in some cases of motion of a solid. Principles of mechanics. Dalembert's principle and the principle of possible displacements. Dynamic reactions of a solid. Static and dynamic equilibrium. Ideal bindings. Elements of analytical mechanics. General equation of dynamics. Lagrange's equation of the second kind. Oscillations of mechanical systems. Stability of the equilibrium position. Oscillations of mechanical systems with one and two degrees of freedom. Physical bases of strength of materials. Ductile and brittle fracture. The limit of strength. Types of stress state in machine elements. Strength under a complex stress state. Reducing the vibration activity of machines and mechanisms. Balancing of rotary machines. Dynamic damping of vibrations. Protection against shock loads. Effect of vibrations on a human operator. Calculation of strength and stiffness for tensile or compressive problems of machine parts and structures. Fundamentals of the theory of stress and deformation: stress at a point; types of stress state; law of parity of tangential stresses; principal areas and principal stresses; direct and inverse problems for a plane stress state; Mohr's circle. Volumetric stress state of products. Stresses on an arbitrary plane. Deformations under volumetric stress. Generalized and volumetric Hooke's law. Potential energy of deformation. Strength criteria: tasks of strength theories; classical strength theories; concept of new strength theories. Principal stresses in pure shear. Hooke's law. The relationship between the three constants (E, G and ?) of the material. Torsion: torsional stresses and strains; conditions of strength and stiffness; analysis of torsional stress and fracture; torsion of rods of non-circular cross-section. Bending: normal stresses in straight bending; tangential stresses; complete design of beams for strength; differential equation of the bent axis of a beam; universal deflection equation.
Assessment methods and criteria: Reporting form - exam (100 points) Flow control - 30 points Written component - 60 points Oral component - 10 points
Критерії оцінювання результатів навчання: Current control: 1. Assessment of mastering the theoretical material is carried out by means of test control (test tasks from the Electronic Educational and Methodological Complex of the Virtual Learning Environment of Lviv Polytechnic National University in the discipline "Dynamics and Strength of Machines", oral questioning. 2. Defense of reports for practical work in oral form by questioning theoretical material on the topic of work and research methods or in writing by conducting a control measure on the topic of work in the form of a test. Final control: 1. Examination control (exam). The written component consists of three-level theoretical and practical tasks and is conducted in a test form in the Virtual Learning Environment. The oral component is based on the results of the written component for a more thorough assessment of knowledge
Порядок та критерії виставляння балів та оцінок: 100-88 points - ("excellent") is assigned for a high level of knowledge (some inaccuracies are allowed) of the educational material of the component contained in the main and additional recommended literature sources, the ability to analyze the phenomena studied in their interconnection and development, clearly, concisely, logically, consistently answer the questions posed, the ability to apply theoretical provisions in solving practical problems; 87-71 points - ("good") is assigned 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 in solving practical problems; 70 - 50 points - ("satisfactory") is assigned for poor knowledge of the educational material of the component, inaccurate or poorly reasoned answers, with a violation of the sequence of presentation, for poor application of theoretical provisions in solving practical problems; 49-26 points - ("not certified" with the possibility of retaking the semester control) is assigned for ignorance of a significant part of the educational material of the component, significant errors in answering questions, inability to apply theoretical provisions in solving practical problems; 25-00 points - ("unsatisfactory" with mandatory re-study) is assigned for ignorance of a significant part of the component's educational material, significant errors in answering questions, inability to navigate when solving practical problems, ignorance of the basic fundamental provisions.
Recommended books: 1.Kuzio I.V., Zinko J.A., Vankovich T.N.M. etc. Theoretical mechanics. Textbook. - Kharkiv. Folio, 2017.780p. 2. Lanets O.S. Highly efficient inter-resonant vibrating machines with electromagnetic drive. - Lviv. Lviv Polytechnic National University Publishing House, 2008. 324p. 3. Strutynsky V.B. Mathematical modeling of processes and systems of mechanics. Textbook. - Zhytomyr, 2001. 612 p.
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