Analytical mechanics
Also listed as: מכניקה אנליטית
Lagrangian and Hamiltonian mechanics: the reformulation that makes multibody dynamics, robotics and orbital mechanics tractable. It maps to no job title and improves your work in three tracks.
- Semester
- Not fixed
- Weekly hours
- 3h
- Counts as
- Department electives
- Interest areas
- Structures and computational mechanics · Aeronautics and space · Mechatronics and robotics
Comes after
- Rigid body dynamics
What it covers
Topics
- Generalised coordinates and constraints
- Virtual work and d'Alembert's principle
- Lagrange's equations
- Hamilton's principle, Hamiltonian mechanics and the canonical equations
- Legendre transform
- Conservation laws and symmetries
- Small oscillations and normal modes
- Rigid-body dynamics: Euler angles, Euler equations, spinning tops
- Introduction to canonical transformations and phase space
Results worth carrying out
Lagrange's equations
Hamiltonian
Euler's rigid-body equations
Figures worth knowing
- Phase-space portraits
- Double-pendulum and spinning-top diagrams
Quick answers
When is Analytical mechanics taught?
Analytical mechanics (0542-4166) is taught in a semester that is not fixed in advance, 3 weekly hours. It counts toward “Department electives” in the Tel Aviv University Mechanical Engineering elective requirements.
What do I need before 0542-4166?
Before Analytical mechanics you need: Rigid body dynamics.
What software is used in Analytical mechanics?
Analytical mechanics is normally taught with Mathematica, MATLAB.
Which jobs does Analytical mechanics prepare you for?
Analytical mechanics is part of the preparation for these roles: Control and GNC engineer.
Which interest areas include Analytical mechanics?
Analytical mechanics sits in these interest areas: Structures and computational mechanics, Aeronautics and space, Mechatronics and robotics.
Related courses
- 0542-4011Semester A · 3h
Research project for honours students 1
פרויקט מחקר למצטיינים 1
The honours research project, and the most direct on-ramp to a thesis in the catalogue. You pick a supervisor, produce results, and frequently continue the same problem into a masters.
Structures and computational mechanicsMechatronics and roboticsMiniaturised systems and materialsAeronautics and spaceEnvironment and energyFlow and thermal designMechanical design - 0542-4012Semester B · 3h
Research project for honours students 2
פרויקט מחקר למצטיינים 2
The continuation of the honours project, where the results get deep enough to defend. Under the direct track this is already the first part of the masters thesis.
Structures and computational mechanicsMechatronics and roboticsMiniaturised systems and materialsAeronautics and spaceEnvironment and energyFlow and thermal designMechanical design - 0542-4520Not fixed · 3.5h
Structural design
תיכון מבנים
Design against buckling and fatigue rather than analysis for its own sake. It combines Mechanics of solids 2 with Theory of structures and points them at a real component.
Structures and computational mechanicsAeronautics and space - 0542-4722Semester B · 5h
Introduction to MEMS
מבוא להנדסת מערכות זעירות
Micro-electromechanical systems from cleanroom process to device model. One of the genuine research strengths of the school, and the densest course in the catalogue at five hours.
Miniaturised systems and materialsMechatronics and roboticsStructures and computational mechanics
We also write the summaries.
This map tells you what a course contains. The summaries, the tutoring and the people who already took it are the part you get by joining.
The topic outlines are not official syllabi. The university publishes a catalogue blurb per course, not lecture-by-lecture material, so each outline describes what a course of that name, at those hours, with those prerequisites teaches at engineering schools generally, cross-checked against the standard textbook for the subject. Treat it as an informed map, not as a transcript of the lectures.