Structural Analysis

ID: 1592
Course type: scientific and vocational
Course coordinator: Grbović M. Aleksandar
Lecturers: Grbović M. Aleksandar, Dinulović R. Mirko
Contact: Grbović M. Aleksandar
Level of studies: M.Sc. (graduate) Academic Studies – Mechanical Engineering
ECTS: 6
Final exam type: written
Department: Department of Aerospace Engineering

Lectures

Goal

1. Introduction to problems and modern calculation methods in stress analysis of aircraft structures, as well as their application to solving real problems. 2. Introduction to experimental stress analysis of aircraft structures. 3. Introduction to thin walled structures and composite materials. 4. Introduction to modern computational methods for stress analysis related to airframe structures.

Outcome

1. Mastering basic structural analysis theories. 2. Application of theoretical knowledge to solve practical problems. 3. Understanding the basis of aircraft design process. 4. Understanding modern methods in structural analysis for stress analysis of aircraft structures.

Theoretical teaching

In the theoretical part of this course following topics are presented: Variational principle. Principle of virtual work. Minimum energy principle. Rayleigh-Ritz method. Galerkin Method. Collocation method. Finite element method formulation. Convergence criteria. Finite element formulation for rods and beams. Stiffness matrices and equivalent force matrices. Finite elements for plane stress and plane strain, axial symmetric and volume finite elements. Automatic mesh generation. Finite elements software. Elastic material models. Real structures modeling. Element selection. Mesh density selection.

Practical teaching

Substructure modeling. Substructure interaction. Thermal stresses. Initial deformations. Residual stresses. Non-linear models for constitutive equations. Solution methods. Large deformations and large rotations tensor. Stress tensor formulation for large deformations. Local and global problems in stability analysis. Methods for solving non-linear problems. Results analysis. Adaptive meshes. Structure optimization. Quasi-static and dynamic problems. In practical part of the course, previous theories are demonstrated in real applications. Numerous problems are analyzed. Practical student work is carried out through mandatory exercises using computers for modeling and analysis. Practical part of the course also includes the visit to the laboratories for static and dynamic experimentation of the VTI institute.

Attendance requirement

Recommended: Theory of elasticity, Structural Analysis of Flying Vehicles

Resources

Handouts in e-format, demonstration films and computer simulation, Internet resources, application VAZMFB (https://vazmfb.com).

Assigned hours

Total assigned hours: 75

Active teaching (theoretical)

New material: 20
Elaboration and examples (recapitulation): 10

Active teaching (practical)

Auditory exercises: 10
Laboratory exercises: 0
Calculation tasks: 5
Seminar paper: 0
Project: 15
Consultations: 0
Discussion/workshop: 0
Research study work: 0

Knowledge test

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

Knowledge test (100 points total)

Activity during lectures: 10
Test/test: 20
Laboratory practice: 0
Calculation tasks: 10
Seminar paper: 0
Project: 20
Final exam: 40
Requirement for taking the exam (required number of points): 40

Literature

T. Megson, Introduction to Aircraft structural Analysis, Butterworth-Heinemann, 2017.; F. Hartmann, C. Katz, Structural Analysis with Finite Elements, Springer, 2007.; R. D. Cook, D. S. Malkus, M. E. Plesha, R. J. Witt, Concepts and Applications of Finite Element Analysis, Wiley, 2001.