| Subject name (in Hungarian, in English) | Dynamics | |||
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Dynamics
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| Neptun code | BMEGEMMBXM3 | |||
| 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 | 2 | 0 | |
| nature (connected / stand-alone): | - | coupled | - | |
| Type of assessments (quality evaluation) | exam | |||
| ECTS | 5 | |||
| Subject coordinator | name: | Takács Dénes | ||
| post: | associate professor | |||
| contact: | takacs@mm.bme.hu | |||
| Host organization | Department of Applied Mechanics | |||
| http://www.mm.bme.hu | ||||
| Course homepage | http://www.mm.bme.hu/targyak/?BMEGEMMBXM3 | |||
| Course language | hungarian, english, german | |||
| Primary curriculum type | mandatory | |||
| Direct prerequisites | Strong prerequisite | BMEGEMMBXM1, BMETE93BG02 | ||
| Weak prerequisite | ||||
| Parallel prerequisite | ||||
| Milestone prerequisite | at least obtained 0 ECTS | |||
| Excluding condition | BMEGEMMAGM3 | |||
Aim
The aim of the course is for students to learn the description of the movement of bodies that can be modeled as material points or rigid bodies (kinematics) and the methods of calculating changes in the state of motion resulting from force effects (kinetics). Another goal is to develop students' logical thinking and deepen their natural science knowledge. The main areas covered during the course are: kinematics of material points; kinematics of rigid bodies; kinetics of material points and point systems; kinetics of rigid bodies; application of what has been learned in technical tasks.
Learning outcomes
Competences that can be acquired by completing the course
Knowledge
It distinguishes between a reference system and a coordinate system. You know the conditions of applications of material point and rigid body models. He is aware of the concept of degrees of freedom, constraint and the law of motion. Understands the rules for differentiating vectors with respect to time, the derivation of the velocity and acceleration vector, as well as their trajectory-matching components (e.g. tangential and normal accelerations). It interprets the basic relations of the velocity and acceleration state of a rigid body for both spatial and plane motion. You are aware of the concepts of angular velocity and angular acceleration vectors, as well as the instantaneous axis of rotation and velocity pole. It provides an overview of the rules for considering constraint conditions in the case of mechanisms and rolling bodies. In its connections, it interprets theorems derivable from Newton's laws both in the case of a material point system and a rigid body system. You know the basic theorem of dynamics and the method of drawing the free-body diagram necessary for its application. You are aware of the concepts of momentum, momentum, kinetic energy, power, work, and potential function, their calculation method, and the application of the power and work theorem. Knows the kinematic and kinetic relations used in the case of reference systems moving relative to each other. Understands the method of calculating the elements of the moment of inertia matrix and the application of the Steiner theorem. Informed about methods of balancing rotating shafts. Understands the application of Euler's formula for calculating the derivative of the momentum vector in the case of examining the spatial motion of rigid bodies - for example, spin motion.
Ability
It can determine the normal and tangential components of the acceleration of a material point. Determines the velocity and acceleration of any point on a rigid body, given the state of the velocity and acceleration of the rigid body. It determines the location of the velocity pole of a rigid body in case of plane motion, both arithmetically and geometrically. Apply the methods of rigid body kinematics to study and design the motion of mechanisms. It makes a difference between kinematic and dynamic planar movement. Creates free-body diagrams of a dynamic system consisting of several rigid bodies flawlessly and completely. Routinely applies the basic theorem of dynamics to complex rigid body systems. Calculates the work and performance of a force system acting on a rigid body. Apply the power theorem to determine the state of acceleration of a rigid body system. It calculates the center of gravity, the moment of inertia calculated for the center of gravity, and the kinetic energy of a rigid body system. It distinguishes between kinematic and dynamic conditions of rolling. It distinguishes between static and dynamic unbalance. Use the methods you have learned to balance unbalanced rotors. Able to analyze and plan the spatial movement of rigid bodies.
Attitude
He understands the importance of an honest attitude towards his studies. He strives to create precise documentation that is clear for engineering specialists. He strives to use the terminology of the field accurately and consistently. He is receptive to a thorough understanding of the connections of natural science. He is open to constantly expanding his knowledge and engineering skills.
Independence and responsibility
He feels responsible for setting an example to his peers with the quality of his work and adherence to ethical standards. He feels responsible for the knowledge acquired during the subject, given the limitations of their validity. He accepts well-founded critical comments and takes them into account in his later works. He cooperates with the instructor and his peers during the processing of the course material. He accepts the framework of cooperation, depending on the situation, he is able to perform his work independently or as part of a team.
Teaching methodology
The theoretical part of the education takes place in the form of a lecture for two hours a week, which is accompanied by another two hours of practice a week. During the exercises, we examine the methods and models presented in the lecture, which help the practical application of the acquired knowledge in accordance with the theoretical material. A deeper understanding of the new knowledge is further supported by independently prepared homework. During the semester, we provide regular consultations and downloadable support materials. Extended electronic notes adapted to the topic of the subject supplement the material of the presentation, providing additional knowledge to those interested. Strong prerequisite: Mathematics G2 (BMETE93BG02 or BMETE94BG02) Statics (BMEGEMMBXM1).
Support materials
Textbook
Csernák Gábor: Dinamika. Akadémiai Kiadó, ISBN: 978 963 05 9924 5, DOI: 10.1556/9789630599245, https://mersz.hu/csernak-dinamika, 2018.
Béda-Bezák: Kinematika és dinamika. Műegyetemi kiadó 45050, ISBN: 9634205968, 1999.
Csizmadia-Nándori: Mozgástan. Nemzeti tankönyvkiadó, ISBN: 9789631923537, 1997.
Lecture notes
Online material
Validity of the course description
| Start of validity: | 2024. January 1. |
| End of validity: | 2028. July 15. |
General rules
The learning results are evaluated during the diligence period based on written performance measurement (two summative academic performance evaluations), homework (two partial performance evaluations), and written and oral exams (summative academic performance evaluations) during the exam period. The homework is issued in accordance with the subject matter, it covers the currently studied parts of the material, and it is mandatory to complete it at a sufficient level. Documenting the calculated results of the homework is an independent task, which, in addition to the correctness of the numerical results, must also fulfill the prescribed form and content requirements. The condition for obtaining the signature is that the student achieves a score of at least 40% on the summative academic performance evaluations and at least 33% on the partial performance evaluations.
Assessment methods
Detailed description of mid-term assessments
| Mid-term assessment No. 1 | ||
| Type: | summative assessment | |
| Number: | 2 | |
| Purpose, description: | A complex, written evaluation method for the knowledge and ability-type competence elements of the subject in the form of a closed paper; the thesis basically focuses on the interpretation of individual concepts and the recognition of the connections between them, as well as the application of the acquired knowledge, so test questions must be answered and practical (calculation) tasks must be solved during the performance evaluation. The course material that is the basis of the evaluation is determined by the lecturer of the subject in agreement with the supervisors. | |
| Mid-term assessment No. 2 | ||
| Type: | formative assessment, simple | |
| Number: | 2 | |
| Purpose, description: | It is a complex evaluation method for the subject's knowledge, ability, attitude, and independence and responsibility competence elements, which takes the form of individually prepared homework. The content, requirements, submission deadline, and evaluation method of the homework are determined by the person in charge. The practice supervisors provide help in solving problems that arise during the preparation of homework during the weekly consultations. | |
Detailed description of assessments performed during the examination period
Elements of the exam:
| Written partial exam | ||
| Obligation: | mandatory (partial) exam unit, failing the unit results in fail (1) exam result | |
| Description: | A complex, written evaluation method for the knowledge and ability-type competence elements of the subject in the form of a closed paper; the thesis basically focuses on the interpretation of individual concepts and the recognition of the connections between them, as well as the application of the acquired knowledge, so test questions must be answered and practical (calculation) tasks must be solved during the performance evaluation. The course material that is the basis of the evaluation is determined by the lecturer of the subject in agreement with the supervisors. | |
| Oral partial exam | ||
| Obligation: | (partial) exam unit chosen by the student, the exam result assessed by other partial exam unit can be changed restrictedly | |
| Description: | The complex evaluation method of the subject's knowledge, ability, attitude, and independence and responsibility competence elements is in the form of an oral answer, which basically focuses on the interpretation of individual concepts, the understanding of the connections between them, and problem recognition. The oral exam is optional, its score is added to the total score at the end of the semester, which can change the final grade by no more than one mark. | |
| Inclusion of mid-term results | ||
| Obligation: | optional (partial) exam unit, which can be taken into account only if it is favourable for the student | |
| Description: | Among the partial ratio calculation methods A) and B) detailed below, the calculation method that is more favorable for the student will be used. On the grade determined in this way, the student may lower or improve a maximum of one mark in the framework of the optional oral performance evaluation, provided that he obtained at least 30% of the available score on the written performance evaluation (partial exam). Interim results (calculation method B) can only be included in the semester in which the signature was obtained. A) Based on the written performance evaluation. Written partial exam: 100%. B) Based on the written performance evaluation (partial exam) and the mid-year results, if the student obtained at least 40% of the available score on the written performance evaluation (partial exam). Written partial exam: 60%, inclusion of mid-year results: 40%. | |
The weight of mid-term assessments in signing or in final grading
| ID | Proportion |
|---|---|
| Mid-term assessment No. 1 | 85 % |
| Mid-term assessment No. 2 | 15 % |
The condition for signing is that the score obtained in the mid-year assessments is at least 40%.
The weight of partial exams in grade
| Type: | Proportion |
|---|---|
| Written partial exam | 100 % |
| Oral partial exam | 100 % |
| Inclusion of mid-term results | 40 % |
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] | 55 % - 70 % |
| sufficient (2) | Pass [E] | 40 % - 55 % |
| 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% the exercises (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 not possible | ||
| 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) | ||
Study work required to complete the course
| Activity | hours / semester |
|---|---|
| participation in contact classes | 56 |
| mid-term preparation for practices | 14 |
| preparation for summary assessments | 32 |
| elaboration of a partial assessment task | 8 |
| exam preparation | 35 |
| additional time required to complete the subject | 5 |
| altogether | 150 |
Validity of subject requirements
| Start of validity: | 2024. January 1. |
| End of validity: | 2028. July 15. |
Primary course
The primary (main) course of the subject in which it is advertised and to which the competencies are related:
Mechanical engineering
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 is familiar with the general and specific mathematical, scientific and social principles, rules, contexts and procedures needed to operate in the field of engineering.
Ability
- Student has the ability to apply the general and specific mathematical, scientific and social principles, rules, relationships and procedures acquired in solving problems in the field of engineering.
Attitude
- Student is open and receptive to learning, embracing and authentically communicating professional, technological development and innovation in engineering.
Independence and responsibility
- Student shares her acquired knowledge and experience through formal, non-formal and informal information transfer with those in her field.
Prerequisites for completing the course
|
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 |