Impact Mechanics

ID: 3602
Course type: scientific and vocational
Course coordinator: Tomović M. Aleksandar
Lecturers: Tomović M. Aleksandar
Contact: Tomović M. Aleksandar
Level of studies: Ph.D. (Doctoral) studies – Mechanical Engineering
ECTS: 5
Final exam type: written

Lectures

Goal

The aim is that the issue of mechanical impact (collision) procedures as wide, and point out the methods of describing processes occurring in the solid body in a short time period of collision, including aspects from the standpoint of classical mechanics, the contact stresses and strains, wave propagation phenomena and occurrence of plastic deformations.

Outcome

Knowledge of four major aspects in the evolution of impact theory: • Classical mechanics • Contact mechanics • Plastic deformation • Stress wave propagation. An ability to identify, formulate, and solve simple problems in impact mechanics. An ability to systematically review, analyze, assimilate and interpret professional literature and innovations in spectrum of different theories for collision. An ability to produce high quality research, and disseminate effectively the research output in reputable international journals, conferences, research proposals and other scientific venues.

Theoretical teaching

Introduction. Analysis of low speed impact. Rigid body theory for collinear impact. Rigid body theory for planar or 2D collisions.3D impacts og rough rigid bodies. Rigid body impact with discrete modeling of compliance for the contact region. Continuum modeling of local deformation near the contact area. Axial impact on slender deformable bodies. Impact on assemblies of rigid elements. Collision against flexible structures. Special problems in impact mechanics.

Practical teaching

Introduction. Analysis of low speed impact. Rigid body theory for collinear impact. Rigid body theory for planar or 2D collisions.3D impacts og rough rigid bodies. Rigid body impact with discrete modeling of compliance for the contact region. Continuum modeling of local deformation near the contact area. Axial impact on slender deformable bodies. Impact on assemblies of rigid elements. Collision against flexible structures. Special problems in impact mechanics.

Attendance requirement

Defined by the curriculum study of Phd studies program.

Resources

Assigned hours

Total assigned hours: 65

Active teaching (theoretical)

New material: 20
Elaboration and examples (recapitulation): 30

Active teaching (practical)

Auditory exercises: 0
Laboratory exercises: 0
Calculation tasks: 0
Seminar paper: 0
Project: 0
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Knowledge test

Review and grading of calculation tasks: 5
Review and grading of lab reports: 0
Review and grading of seminar papers: 0
Review and grading of the project: 0
Test: 5
Test: 0
Final exam: 5

Knowledge test (100 points total)

Activity during lectures: 0
Test/test: 0
Laboratory practice: 0
Calculation tasks: 60
Seminar paper: 0
Project: 0
Final exam: 40
Requirement for taking the exam (required number of points): 30

Literature

Goldsmith W., Impact, Dover Publications, N.Y., 2001.; Пановко.Я.Г., Введение в теорию механического удара, Наука, Москва, 1977.; Johnson K.L., Contact Mechanics, Cambridge Unev. Press, 1985.; Pavišić,M., Golubović,Z., Mitrović,Z. Mechanics - Dynamics of mechanical systems, Faculty of Mechanical Engineering, Belgrade, 2011. ; Stronge W.J. Impact Mechanics - Cambridge University Press, Cambridge, 2004.