Rīgas Tehniskā universitāte 28.09.2021 06:41
RTU Course "Analytical Mechanics. Advanced Course" 25601 null General data Code MTM639 Course title Analytical Mechanics. Advanced Course Course status in the programme Compulsory/Courses of Limited Choice; Courses of Free Choice Responsible instructor Jānis Vība Academic staff Igors Tipāns Vladislavs Jevstigņejevs Volume of the course: parts and credits points 1 part, 10.0 Credit Points, 15.0 ECTS credits Language of instruction LV, EN Annotation Formulation and application of the generalised principles of classical particle and continuum mechanics.Lagrangian and Hamiltonian mechanics. Constraints. Kinematics of rigid body motion, Eulerian and Brintan angles. Eguations of motion.Inertia tensor,momentary ellipsoid. Rigid body equation of motion. Eulre`s equations. Dynamics of connected rigid body systems. Dynamics of variable mass systems. Stability analysis of dynamical systems. Goals and objectives of the course in terms of To acquaint students with the fundamentals of analytical mechanics. In order to achieve this aim competences and skills the following tasks should be fulfilled: 1st Analyse the fundamental relationships of the dynamics, statics and kinematics in analytical mechanics. 2nd Teach students how to solve the task on analytical mechanics applying the computer programs. 3rd Improve students' knowledge of physics and mathematics related to the field of analytical mechanics 4th Teach students the skills required to be proficient in the calculations of the technical and mechanical engineering object, applying the methods of analytical mechanics. Structure and tasks of independent studies Within the framework of the present course the students should perform independent work on the following themes: 1st Solving the tasks on analytical statics applying the MathCAD program. 2nd Modelling the tasks on analytical dynamics applying the Working Model. 3rd Calculating the power and tension applying the Solid Work Program. Recommended literature O. Kepe, J. Vība, Teorētiskā mehānika, Rīga, "Zvaigzne", 1982.g. 577 lpp.; Louis N. Hand and Janet D. Finch, Analytical Mechanics, Cambrige “University Press”, United Kingdom. 1998., 565. pages; Wolfgang Yourgrau and Stanley Mandelstam, Variational principles in dynamics and quantum theory, Courier Dover Publications, 1979 science, 201 pages. Robert L. Halfman, Dynamics, Department of Aeronautic and Astronautics Massaschusettts Institute of Technology. Перев. с англ., «Наука», 1972. г. 568. стр. Course prerequisites Physics (at the secondary school level). RTU differential and integral calculations
Course contents Content Full- and part-time Part time extramural intramural studies studies Contact Indep. Contact Indep. Hours work Hours work Introduction to Lagrangian mechanics. Constraints and their equations. 16 0 0 0 The concept of functional variations. Newton's laws. Equations. 16 0 0 0 Analytical statics axioms and equations record. 16 0 0 0 Subject movement kinematics record. 16 0 0 0 Holonomic object dynamic relationships. Nonholonomic object dynamic relationships. 16 0 0 0 Lagrangian motion of the first kind of differential equations. 16 0 0 0 Mechanical systems of kinetic and potential energy definitions and calculations. 16 0 0 0 Mechanical systems generalized coordinates, generalized speeds and forces. 16 0 0 0 Lagrangian second type of motion differential equations. 16 0 0 0 The general dynamic equation. Mechanical system dynamic response determination. 16 0 0 0 Total: 160 0 0 0
Learning outcomes and assessment Learning outcomes Assessment methods Able to assess the mechanical process descriptions of Lagrangian and Newtonian mechanics - Laboratory work. Hamiltonian mechanics of nature in various forms. Able to provide examples of object motion and equilibrium positions. Questions in the practical work. Capable of analyzing the mechanisms and machinery at the highest level, applying the Questions at the end of the lecture. interconnections of analytical mechanics. Able to distinguish between holonomic and nonholonomic mechanical systems. Assessment test Able to formulate and solve mechanical object analysis tasks with the computer. Assessment test Able to assess the analytical mechanical problems. Exam
Evaluation criteria of study results Criterion % Attendance and activity 10 Test No 1 25 Test No 2 25 Examination 40 Total: 100
Study subject structure Part CP Hours per Week Tests Tests (free choice) Lectures Practical Lab. Test Exam Work Test Exam Work 1. 10.0 5.0 5.0 0.0 * *