MODULE DESCRIPTION Modue code MES1 Modue name Metoda eementów skończonych - I Modue name in Engish Finite Eement Method 1 Vaid from academic year 2013/2014 MODULE PLACEMENT IN THE SYLLABUS Subject Leve of education Studies profie Form and method of conducting casses Speciaisation Unit conducting the modue Modue co-ordinator Mechanics and Machine Design 1 st degree (1st degree / 2nd degree) Genera (genera / practica) Fu-time (fu-time / part-time) CAD/ The Department of Machine Design Ihor Rokach, PhD hab. Approved by: MODULE OVERVIEW Type of subject/group of subjects Modue status Language of conducting casses Modue pacement in the syabus - semester Subject reaisation in the academic year Initia requirements Examination Number of ECTS credit points 7 Method of conducting casses Major (basic / major / speciaist subject / conjoint / other HES) Compusory (compusory / non-compusory) Engish 5 th semester Winter semester (winter / summer) Mathematica Anaysis, Materias Strength, Genera Mechanics (modue codes / modue names) Yes (yes / no) Lecture Casses Laboratory Project Other Per semester 30 14 16
TEACHING RESULTS AND THE METHODS OF ASSESSING TEACHING RESULTS Modue target The aim of the modue is to famiiarise students with computer simuation with the use of the finite eement method (FEM), acquire practica skis concerning work with the MES ADINA program, skis concerning pane and spherica inear issue of soid body mechanics. Effect symbo Teaching resuts Teaching methods (/c//p/other) to subject effects to effects of a fied of study W_01 W_02 U_02 A student has basic knowedge as regards strength anaysis with the FEM methods of basic machine construction types. A student knows and understands the methods of deriving matrix equations of equiibrium for the simpest finite eements. A student knows basic numerica methods which are utiised in FEM (a student can aso utiise them). A student can assess the accuracy of the obtained resuts; a student aso understands theoretica fundamentas of such assessment. A student can utiise iterature on the subject in Engish. A student can prepare a mode and conduct a simpe static anaysis for basic types of finite eements: rod, support, fat coating, and capacity. A student can prepare a parametric mode for a simpe construction mode in the form of IN fie of the ADINA program. A student can estimate the advantages and disadvantages of commercia and free software utiised for computer simuations. A student can prepare a report after the conducted cacuations which contain technica documentation as we as computation resuts presented in a graphica form. A student can co-operate and work in a team by accepting various roes in it. / /p p /p p K_W03, K_W04, K_W01, K_W01, K_U20, K_U05 K_U08, K_U13, K_U15, KS_U01_CAD/ K_U08, KS_U01_CAD/ K_U12, K_U21 K_W1, K_U01, K_U02, K_U03, K_U04 K_K04 T1A_W01, T1A_W07, InzA_W02 T1A_W01 T1A_W01, T1A_W07 T1A_U13, T1A_U15 T1A_U01, T1A_U06 T1A_U08, T1A_U13, T1A_U14 T1A_U07 InzA_U01 T1A _U14, T1A_U10, InzA_U03 T1A_W04, T1A_U01, T1A_U02, T1A_U03, T1A_U04 T1A_K03, T1A_K04 : as regards ectures Lecture 1 Introduction. The conditions obtaining a credit for the subject. A historica outine of FEM with respect to the history of design. The essence and basic steps in FEM anaysis. 2 The types of the most important stresses during the design stage. Initia assessment of the stress resuts on the basis of boundary resuts. The reationship between the resuts obtained with the use of soid body mechanics and materias strength. Basic operations on vectors and matrices. resuts for a modue 3 Basic fie types used by ADINA components. One-dimensiona rod finite W_02 W_01
eement. The notion of rigidity matrix. A system with severa eements, aggregation procedure. 4 The notion of shape function. Deriving a rigidness matrix with the use of the shape function. Substituting a oad distributed with coupe forces. 5 Test 1 6 The notion of computation error indicator. An exampe of an a posteriori error indicator utiised by ADINA. Sef-adaptation methods. 7 ADINA fie anguage. Mode parametrisation. The most commony utiised commands. 8 Linear interpoation. Loca coordinate system. The functions of shape and a rigidness matrix in a oca system.,,, 9 Square rod eement. Numerica integration. 10 2D rod eement. Transformation matrix. Fat eements. 11 Test 2. W_01 12 Basic principes of modeing in FEM. Rod, support, coating, and fat eements. Taking symmetry constructions into consideration. 13 Modeing externa oad. The infuence of the finite eements on mesh shape on computation resuts. 14 Fixed bonds between homogeneous and diverse type eements. The dark, side of FEM where mode ook can appear to be surprising. 15 Test 3. W_01 as regards aboratory casses Laboratory cass resuts for a modue 1 Famiiarising students with the ADINA program on two simpe cases., 2 Preparing the FEM mode. Basic operations in ADINA Structures., 3 Dispaying and deriving resuts. Basic operations in ADINA Sef-Processing., 4 A test: determining stress distribution and deformations in a pane, U_02 construction eement. 5 The co-operation with CAD programs. Preparing a spherica FEM mode with ADINA-M. 6 Error indicators. The impact of the finite eements as we as mesh quaity on the accuracy computation resuts. 7 A test: preparing a mode with a minima of degrees of freedom with retaining the required eve of accuracy resut. as regards project casses Project cass,,, resuts for a modue 1,2 Fat and spherica rod constructions.,
3,4 Rod-support modes.,, 5,6 Bonding incompatibe mesh; fat and spherica issues.,, 7,8 Coating modes., The characteristics of project assignments During projecting, each student is supposed to prepare 4 independent mini-projects. The design process comprises 4 so-caed bocks of 4 hours. Additionay, students are acquainted with basic information on modeing a typica construction type during the first cass of each bock; they prepare sampe modes (as part of the instructions) and draw project subjects. Students present initia project resuts during the second cass. A fina written report on the project is presented within one week after the initia presentation. The methods of assessing teaching resuts Effect symbo W_01- Methods of assessing teaching resuts (assessment method, incuding skis reference to a particuar project, aboratory assignments, etc.) Tests 1-3 and an examination. Students are obiged to use Engish whie soving home assignments with the use of support fies and ADINA documentation. Tests during aboratory casses. Using commercia software of other producers (SoidWorks Simuation). A student s independent report from 4 mini-projects. Observing a student s invovement during aboratory casses. STUDENT S INPUT ECTS credit points Type of student s activity Student s workoad 1 Participation in ectures 30 2 Participation in casses 3 Participation in aboratories 14 4 Participation in tutorias (2-3 times per semester) 10 5 Participation in project casses 16 6 Project tutorias 8 7 Participation in an examination 2 8 Participation in a fina test on aboratory casses 9 Number of hours requiring a ecturer s assistance 80 (sum) 10 Number of ECTS credit points which are aocated for assisted work 3 11 Unassisted study of ecture subjects 15 12 Unassisted preparation for casses 13 Unassisted preparation for tests 15
14 Unassisted preparation for aboratories 0 15 Preparing reports 0 16 Preparing for a fina aboratory test 10 17 Preparing a project or documentation 45 18 Preparing for an examination 15 19 Preparing questionnaires 20 Number of hours of a student s unassisted work 100 (sum) 21 Number of ECTS credit points which a student receives for unassisted work 22 Tota of hours of a student s work 180 23 ECTS credit points per modue 1 ECTS credit point=25-30 hours 7 24 Work input connected with practica casses Tota of hours connected with practica casses 93 25 Number of ECTS credit points which a student receives for practica casses 4 4