# 325.114 Structural mechanics of plates and shells This course is in all assigned curricula part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_21",{id:"j_id_21",showEffect:"fade",hideEffect:"fade",target:"isAllSteop"});});This course is in at least 1 assigned curriculum part of the STEOP.\$(function(){PrimeFaces.cw("Tooltip","widget_j_id_23",{id:"j_id_23",showEffect:"fade",hideEffect:"fade",target:"isAnySteop"});}); 2023W

2023W, VU, 2.0h, 3.0EC, to be held in blocked form

## Properties

• Semester hours: 2.0
• Credits: 3.0
• Type: VU Lecture and Exercise
• Format: Presence

## Learning outcomes

After successful completion of the course, students are able to ...

• apply the relations of the differential geometry of a curved surface to describe undeformed and deformed configurations of plates and shells in both the invariant (tensorial) and coordinate forms.
• assess the applicability of structural mechanics theories to academic and engineering problems for thin flat and curved structures.
• explain the basic principles of the theories of plates and shells, both for small deformation analysis as well as for geometrically nonlinear cases, including stability and vibration problems.
• formulate and solve the equations and the boundary conditions for certain simple examples.
• use energy-based principles such as the method of Ritz to solve boundary value problems.
• apply the solutions of the structural mechanics theory to engineering problems, evaluating the stress state in the three-dimensional body of the structural member.

## Subject of course

Basics of the vector/tensor calculus in oblique basis.
Differential geometry of a surface. Asymptotic derivation of the equations of the theory of bending of plates using the equations of the theory of elasticity.
Methods for exact and approximate solving of simple static and dynamic (oscillations) problems of deformation of plates with various geometries and boundary conditions; example problems.
Small deformation theory of curved shells; investigation of simple cases.
Properties of solutions: membrane state and boundary layers with bending moments.
Derivation of the theory of thin-walled rods of open profile using shell equations.
Large deformation and stability analysis of curved shells. Example analytical and approximate solutions.

## Teaching methods

Classroom lectures featuring theoretical basics and solution of example problems.
Independent study of literature sources. Presentation and discussion of numerical simulations in the classroom.
Autonomous investigation of a suggested example problem under the supervision of the teacher.

Immanent

## Course dates

DayTimeDateLocationDescription
Wed16:00 - 17:0004.10.2023Seminarraum BA 05 - MB Vorbesprechung Modul "Mechanik dünner Strukturen"
Wed12:00 - 14:0011.10.2023Seminarraum Lehar 02 VU Linientragwerke und Flächentragwerke
Wed12:00 - 14:0008.11.2023 - 24.01.2024Seminarraum BA 05 - MB VU Linientragwerke und Flächentragwerke
Structural mechanics of plates and shells - Single appointments
DayDateTimeLocationDescription
Wed04.10.202316:00 - 17:00Seminarraum BA 05 - MB Vorbesprechung Modul "Mechanik dünner Strukturen"
Wed11.10.202312:00 - 14:00Seminarraum Lehar 02 VU Linientragwerke und Flächentragwerke
Wed08.11.202312:00 - 14:00Seminarraum BA 05 - MB VU Linientragwerke und Flächentragwerke
Wed22.11.202312:00 - 14:00Seminarraum BA 05 - MB VU Linientragwerke und Flächentragwerke
Wed29.11.202312:00 - 14:00Seminarraum BA 05 - MB VU Linientragwerke und Flächentragwerke
Wed06.12.202312:00 - 14:00Seminarraum BA 05 - MB VU Linientragwerke und Flächentragwerke
Wed13.12.202312:00 - 14:00Seminarraum BA 05 - MB VU Linientragwerke und Flächentragwerke
Wed20.12.202312:00 - 14:00Seminarraum BA 05 - MB VU Linientragwerke und Flächentragwerke
Wed10.01.202412:00 - 14:00Seminarraum BA 05 - MB VU Linientragwerke und Flächentragwerke
Wed17.01.202412:00 - 14:00Seminarraum BA 05 - MB VU Linientragwerke und Flächentragwerke
Wed24.01.202412:00 - 14:00Seminarraum BA 05 - MB VU Linientragwerke und Flächentragwerke
Course is held blocked

## Examination modalities

Active contributions to lecture and exercises (20%), final assignment and accompanying discussion (80%)

## Course registration

Begin End Deregistration end
01.09.2023 12:00

## Curricula

Study CodeObligationSemesterPrecon.Info
066 445 Mechanical Engineering Mandatory elective
Course requires the completion of the introductory and orientation phase
066 482 Mechanical Engineering - Management Mandatory elective
Course requires the completion of the introductory and orientation phase
ALG For all Students Not specified

## Literature

Vetyukov, Yury. Nonlinear Mechanics of Thin-Walled Structures : Asymptotics, Direct Approach and Numerical Analysis. Springer, 2014.