Course syllabus for Structural dynamics

Course syllabus adopted 2024-02-22 by Head of Programme (or corresponding).

Overview

  • Swedish nameStrukturdynamik
  • CodeTME141
  • Credits7.5 Credits
  • OwnerMPAME
  • Education cycleSecond-cycle
  • Main field of studyMechanical Engineering, Civil and Environmental Engineering
  • DepartmentMECHANICS AND MARITIME SCIENCES
  • GradingTH - Pass with distinction (5), Pass with credit (4), Pass (3), Fail

Course round 1

  • Teaching language English
  • Application code 03129
  • Block schedule
  • Open for exchange studentsYes

Credit distribution

0111 Examination 7.5 c
Grading: TH		 7.5 c
  • 14 Jan 2025 am J
  • 14 Apr 2025 am J
  • Contact examiner

In programmes

Examiner

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Eligibility

General entry requirements for Master's level (second cycle)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Specific entry requirements

English 6 (or by other approved means with the equivalent proficiency level)
Applicants enrolled in a programme at Chalmers where the course is included in the study programme are exempted from fulfilling the requirements above.

Course specific prerequisites

Mathematics, mechanics, strength of materials and a basic course on the Finite Element Method.

Aim

Vibration and noise is often an unwanted feature appearing in many technical systems. In order to reduce vibrations and its effects, a thorough knowledge is needed about the generation of vibrations, how they propagate in a structure and radiate into the surroundings as sound. Many structures are constructed of simple elements such as rods, beams, plates and shells. The course aims at providing knowledge of structural dynamics concepts and presents current methods for solving dynamic problems, such as response of buildings due to wind load, machine vibrations , car body vibrations, and earthquakes. The main goal of the course is to give a solid foundation on both the basic equations that describe the motion of structural elements, as well as for computer aided engineering within structural dynamics.

Learning outcomes (after completion of the course the student should be able to)

- explain in detail the basic principles on which the structural dynamics methods rely, - derive the equations of motions for rigid body systems, - solve stationary and transient problems for MDOF systems, - apply and explain most used numerical eigenvalue algorithms, - apply and explain most used direct integration methods, - use the model reduction methods for large-scale dynamic problem, - use the finite element method to solve structural dynamics problems, - derive equations of motion for rods, strings, beams, membranes, plates,  - solve stationary and transient continous problems using modal analyses.

Content

The course emphasizes on fundamental theory concepts, analytical methods for structural elements and computer aided solutions for structural systems. The following content is covered: - Fundamental theories and definitions in structural dynamics - Lagrange equations - Single and multidegree- of-freedom systems - Continuous systems; basic equations - Eigenvalue problems - Frequency response - Rayleigh's theorems - Free and forced vibration - Orthogonality and mode superposition - Direct integration methods for FEM models - Eigenvalue algorithms for FEM models - Reduction methods for FEM models - State-space formulation

Organisation

Lectures, problem solving sessions and assignments.

Literature

To be decided. (Probably R.R. Craig, A.J. Kurdila: Fundamentals of Structural Dynamics, 2nd edition, Wiley.)
Lecture notes.

Examination including compulsory elements

Optional weekly individual assignments. Written final 5 hours exam.

The course examiner may assess individual students in other ways than what is stated above if there are special reasons for doing so, for example if a student has a decision from Chalmers on educational support due to disability.