| Subject name (in Hungarian, in English) | Finite element method | |||
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Finite element analysis
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| Neptun code | BMEGEMMNWFE | |||
| Type | study unit with contact hours | |||
| Course types and number of hours (weekly / semester) | course type: | lecture (theory) | exercise | laboratory excercise |
| number of hours (weekly): | 2 | 0 | 2 | |
| nature (connected / stand-alone): | - | - | individual | |
| Type of assessments (quality evaluation) | mid-term grade | |||
| ECTS | 5 | |||
| Subject coordinator | name: | Dr. Szekrényes András | ||
| post: | associate professor | |||
| contact: | szeki@mm.bme.hu | |||
| Host organization | Department of Applied Mechanics | |||
| http://www.mm.bme.hu/ | ||||
| Course homepage | http://www.mm.bme.hu/targyak/?BMEGEMMNWFE | |||
| Course language | english | |||
| Primary curriculum type | mandatory | |||
| Direct prerequisites | Strong prerequisite | none | ||
| Weak prerequisite | ||||
| Parallel prerequisite | ||||
| Milestone prerequisite | at least obtained 0 ECTS | |||
| Excluding condition | BMEGEMMMW02 | |||
Aim
The aim of the course is to provide comprehensive knowledge of the most important chapters of the finite element method: Basic equations of elastic bodies; Principle of virtual work; Stability of linearly flexible systems; Dynamic stability; Nonlinear dynamics; Parametric excited linear systems; Nonlinear structural tasks; Geometric nonlinearity; Nonlinear vibrations of flexible rods. The course also covers the theoretical application of ANSYS commercial software in the mentioned topics. The aim is to provide students with a solid foundation in subsequent time-dependent problems and nonlinear finite element calculations.
Learning outcomes
Competences that can be acquired by completing the course
Knowledge
He has a comprehensive knowledge of the purpose, methods, and limitations of the finite element method. He possesses the basic equations of elastic bodies and the main chapters of finite element modeling. Distinguishes between models and element types of plates and shells. He is aware of the physical meaning of various initial and perturbed states. Understands the basic equations used to calculate the stability of continuums. Understands the concept of parametric excitation and the calculation methods of 2T and T periodic solutions. He is familiar with the basic laws and mechanics of mechanics. Knows the theoretical foundations of geometric nonlinearity. It distinguishes between linear and nonlinear stability calculations. It systematizes the basic equations of the elasticity and finite element method.
Ability
Defines the principle of virtual work using the equation of motion. Use the appropriate equations for mechanical models of thin-walled structures. Calculates the field quantities of continuum models analytically and numerically. Able to distinguish between linear and nonlinear structural problems. Calculates critical loads on linearly flexible systems. Apply different element types in finite element modeling. It interprets the basic laws and energy principles of mechanics. Determines the nature of the loss of stability during dynamic stability tasks. Improves your knowledge in nonlinear finite element calculations. Solves and compares the results of geometrically nonlinear problems with analytical results.
Attitude
He constantly monitors his work, results and conclusions. It expands your knowledge of elasticity and finite element methods through continuous acquisition of knowledge. Open to the use of information technology tools. It seeks to learn about and use novel theories of mechanics. It develops your ability to provide accurate and error-free problem solving, engineering precision and accuracy.
Independence and responsibility
Collaborates with the instructor and fellow students to expand knowledge. Accepts well-founded professional and other critical remarks. In some situations, as part of a team, you work with your fellow students to solve tasks. With his knowledge, he makes a responsible, well-founded decision based on his analyzes. He feels a responsibility to educate the mechanics of the future and to future generations.
Teaching methodology
The subject consists of theoretical and laboratory practical courses of the same size. Numerical examples solved in laboratory exercises help to understand the theoretical materials presented in the lecture. During the lecture, the most important parts of the material are conducted on a board in order for the joint work to help the students understand the curriculum. The animations and examples projected on the theoretical courses further help to master the curriculum. Materials used in lectures and labs can be downloaded by students. During the semester, several minor diligent homework assignments provide students with extra points. We provide regular consultations during the semester.
Support materials
Textbook
KJ Bathe. Finite Element Procedures. Prentice Hall. 1996. ISBN: 0-13-301458-4
E. Madenci, I. Guven. The Finite Element Method and Applications in Engineering Using ANSYS. Springer Science + Business Media Inc .. 2006. ISBN: 0-387-28289-0
R. de Borst, MA Crisfield, JJC Remmers, CV Verhoosel. Nonlinear finite element analysis of solids and structures. John Wiley & Sons. 2012. ISBN: 9780470666449
Lecture notes
There is no note available for the subject when filling in the form, its earliest publication date is 2020.
Online material
http://www.mm.bme.hu/targyak/?BMEGEMMNWFE
Validity of the course description
| Start of validity: | 2019. September 1. |
| End of validity: | 2025. July 15. |
General rules
Learning outcomes are assessed on the basis of five mid-year written performance measures (three partial and two summative learning assessments). Summarizing academic performance evaluation: a complex, written way of evaluating the competence-type competence elements of the subject and knowledge in the form of an indoor dissertation, the dissertation focuses on the application of the acquired knowledge, so it focuses on problem recognition and solution, on the other hand, asks for the necessary lexical knowledge during the performance appraisal, the working time available is 90 minutes; Partial performance assessment (homework): a complex way of evaluating the knowledge, ability, attitude, as well as independence and responsibility type competence elements of the subject, the form of which is the individual homework.
Assessment methods
Detailed description of mid-term assessments
| Mid-term assessment No. 1 | ||
| Type: | formative assessment, simple | |
| Number: | 3 | |
| Purpose, description: | The basic aim of the partial performance assessment is to examine the existence of attitudes and learning outcomes belonging to the autonomy and responsibility competence group. The way to do this is to create two individual homework documents. The topic of the tasks is based on the parts of the material told before the publication. The content and form requirements and evaluation principles of the completed homework are clearly included in the assignment and the website of the subject. A maximum of 15 points can be earned with one task. | |
| Mid-term assessment No. 2 | ||
| Type: | summative assessment | |
| Number: | 2 | |
| Purpose, description: | Summative assessments collectively examine and assess students ’learning outcomes defined by knowledge and ability type competencies. Accordingly, each summative assessment assesses the acquisition of the designated theoretical knowledge as well as the existence of the knowledge and skills acquired in practice. Each summative assessment focuses 50% on theoretical knowledge and 50% on application skills. They will be completed on the date specified in the academic performance assessment plan, expected to be in the 8th and 14th weeks of education. 27 and 28 points can be obtained in the summary performance evaluation, respectively. | |
Detailed description of assessments performed during the examination period
The subject does not include assessment during the examination period.
The weight of mid-term assessments in signing or in final grading
| ID | Proportion |
|---|---|
| Mid-term assessment No. 1 | 50 % |
| Mid-term assessment No. 2 | 50 % |
The weight of partial exams in grade
There is no exam belongs to the subject.
Determination of the grade
| Grade | ECTS | The grade expressed in percents |
|---|---|---|
| very good (5) | Excellent [A] | above 90 % |
| very good (5) | Very Good [B] | 85 % - 90 % |
| good (4) | Good [C] | 70 % - 85 % |
| satisfactory (3) | Satisfactory [D] | 56 % - 70 % |
| sufficient (2) | Pass [E] | 40 % - 56 % |
| insufficient (1) | Fail [F] | below 40 % |
The lower limit specified for each grade already belongs to that grade.
Attendance and participation requirements
Must be present at at least 70% (rounded down) of lectures.
At least 70% of laboratory practices (rounded down) must be actively attended.
Special rules for improving, retaken and replacement
The special rules for improving, retaken and replacement shall be interpreted and applied in conjunction with the general rules of the CoS (TVSZ).
| Need mid-term assessment to invidually complete? | ||
| yes | ||
| Can the submitted and accepted partial performance assessments be resubmitted until the end of the replacement period in order to achieve better results? | ||
| NO | ||
| The way of retaking or improving a summary assessment for the first time: | ||
| each summative assessment can be retaken or improved | ||
| Is the retaking-improving of a summary assessment allowed, and if so, than which form: | ||
| retake or grade-improving exam possible for each assesment separately | ||
| Taking into account the previous result in case of improvement, retaken-improvement: | ||
| new result overrides previous result | ||
| The way of retaking or improving a partial assessment for the first time: | ||
| partial assesment(s) in this group cannot be improved or repeated, the final result is assessed in accordance with Code of Studied 122. § (6) | ||
| Completion of unfinished laboratory exercises: | ||
| missed laboratory practices may be performed in the teaching term at pre-arranged appointment, non-mandatory | ||
| Repetition of laboratory exercises that performed incorrectly (eg.: mistake in documentation) | ||
| incorrectly performed laboratory practice (e.g. Incomplete/incorrect report) can be corrected upon improved re-submission | ||
Study work required to complete the course
| Activity | hours / semester |
|---|---|
| participation in contact classes | 56 |
| preparation for laboratory practices | 14 |
| preparation for summary assessments | 32 |
| elaboration of a partial assessment task | 12 |
| additional time required to complete the subject | 36 |
| altogether | 150 |
Validity of subject requirements
| Start of validity: | 2019. September 1. |
| End of validity: | 2025. July 15. |
Primary course
The primary (main) course of the subject in which it is advertised and to which the competencies are related:
Common on all MSc programmes
Link to the purpose and (special) compensations of the Regulation KKK
This course aims to improve the following competencies defined in the Regulation KKK:
Knowledge
- Student has the knowledge of the general and specific characteristics, boundaries and main developments of the field, its links with related disciplines.
- Student has the detailed knowledge of the context, theories and terminology of the field.
- Student has a detailed knowledge of legal regulations and ethical standards relevant to the field of specialisation.
Ability
- Student carries out a detailed analysis of the various concepts that make up the knowledge base of the field, synthesising and synthesising the broad and specific contexts and making an appropriate assessment of them.
- Student identifies specific professional problems using a multifaceted, interdisciplinary approach, and explores and formulates the detailed theoretical and practical background needed to solve them.
- Student has a high level of knowledge transfer skills in the field, and is able to use and process publication sources in Hungarian and foreign languages, and has effective information research and processing skills in the field.
Attitude
- Student takes decisions in new, complex and strategic decision-making situations and in unexpected situations, taking full account of legal and ethical standards.
- Student strives to put the latest developments in student's field at the service of student's own development.
- Student understands and represents the active citizenship and literacy elements that define the key issues in their field.
Independence and responsibility
- Student demonstrates a high degree of autonomy in thinking through and developing broad and specific professional issues on the basis of given resources.
- Student is involved in research and development projects, mobilises student's theoretical and practical knowledge and skills in a project team in an autonomous way, in cooperation with the other members of the team, in order to achieve the objective.
- Student independently applies a wide range of methods and techniques in practice in contexts of varying complexity and predictability.
Prerequisites for completing the course
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Knowledge type competencies
(a set of prior knowledge, the existence of which is not obligatory, but greatly facilitates the successful completion of the subject) |
none |
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Ability type competencies
(a set of prior abilities and skills, the existence of which is not obligatory, but greatly contributes to the successful completion of the subject) |
none |