| Subject name (in Hungarian, in English) | Vibration | |||
|
Vibrations
|
||||
| Neptun code | BMEGEMMBXM4 | |||
| 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 | 1 | 0 | |
| nature (connected / stand-alone): | - | coupled | - | |
| Type of assessments (quality evaluation) | mid-term grade | |||
| ECTS | 4 | |||
| Subject coordinator | name: | Dr. Insperger Tamás Antal | ||
| post: | university professor | |||
| contact: | insperger@mm.bme.hu | |||
| Host organization | Department of Applied Mechanics | |||
| http://www.mm.bme.hu | ||||
| Course homepage | http://www.mm.bme.hu/targyak/?BMEGEMMBXM4 | |||
| Course language | hungarian, english, german | |||
| Primary curriculum type | mandatory | |||
| Direct prerequisites | Strong prerequisite | BMETE93BG03, BMEGEMMBXN2, BMEGEMMBXM3 | ||
| Weak prerequisite | ||||
| Parallel prerequisite | ||||
| Milestone prerequisite | at least obtained 0 ECTS | |||
| Excluding condition | BMEGEMMAGM4 | |||
Aim
The aim of the course is to examine the dynamical processes in time, to set up vibrational models, to determine and solve the equations of motion belonging to them. Another goal is to develop students' logical thinking and deepen their knowledge of science. The main areas to be described in the course are: Newton's model of collisions; writing equations of motion for time-varying geometric constraints; selection of general coordinates; linearization around equilibrium; determination of transient and stationary vibrations of oscillating systems; and applying what has been learned in technical tasks.
Learning outcomes
Competences that can be acquired by completing the course
Knowledge
He knows Newton's collision model of the rigid body and the concept of centric collision. He is aware of the mechanical model, equation of motion and general solution of a linear oscillation system with a degree of freedom, viscosely damped and harmonically excited. It distinguishes between linear and nonlinear oscillating systems. He is aware of the concept of linearizing a nonlinear equation of motion around an equilibrium place. It distinguishes between natural frequency and natural frequency. He is aware of the concept and mechanical meaning of relative damping. He is familiar with the concept and use of logarithmic decrement. He knows the peculiarities of the free oscillation of swing systems with a degree of freedom damped by speed-proportional and dry (Coulomb) friction. It distinguishes between mechanical models of different types of excited vibrations. Understands the concepts of frequency ratio, magnification factor, resonance, resonance curve and phase curve. He has the knowledge to write the equations of motion of multi-degree oscillation systems with geometric constraints. He knows the second kind of Lagrange equation and how to apply it. He is aware of methods for linearizing the equations of motion of oscillation systems with multiple degrees of freedom and their limitations. He is familiar with the meaning, method of determination, and law of motion of eigenfrequencies and oscillation patterns of oscillation systems of multiple degrees of freedom. He has the knowledge necessary to write the steady-state law of motion of linear, harmonically excited oscillating systems with several degrees of freedom.
Ability
Calculates the post-impact velocity state of rigid bodies rotating about a stationary axis. It routinely applies the fundamental theorem of dynamics to determine the equation of motion of oscillating systems with a degree of freedom. Apply the method of linearization to study the small deflection vibrations of a nonlinear oscillation system. Calculates the eigenfrequency, eigenfrequency, oscillation time, and relative attenuation of a linear oscillation system with a degree of freedom. It distinguishes between the laws of motion of viscosely damped and dry (Coulomb) friction damped systems. It distinguishes between force excitation, road excitation, and unbalanced rotational mass excitation models. Capable of calculating the static deflection, frequency ratio, magnification and phase delay of a single degree of freedom excited linear oscillation system. Calculates the natural circle frequency and relative damping of a swing system with a degree of freedom based on measured free oscillations. It interprets the resonance and phase curves of an excited linear oscillation system with a degree of freedom. It solves the equation of motion of a linear oscillation system with one degree of freedom for both unattenuated or damped free oscillation and harmonically excited vibration under different initial conditions. Uses the second kind of Lagrange equation to write the equations of motion of oscillating systems. Selects the general coordinates describing the motion of a system with multiple degrees of freedom. It is able to write the equation of motion of oscillating systems with several degrees of freedom. It describes the eigenfrequencies and oscillation patterns of a multi-degree oscillation system that performs small vibrations, and the law of motion in the steady state in the case of harmonically excited vibrations. Interprets the concept of critical speed for rotating axes.
Attitude
He recognizes the importance of an honest attitude in his studies. It strives for accurate documentation that is clear to engineering professionals. It seeks to use the terminology of the field accurately and accurately. Susceptible to a thorough understanding of the context of science. He is open to continuously expanding his knowledge and engineering skills.
Independence and responsibility
He feels a responsibility to set an example to his peers by the quality of his work and adherence to ethical standards. He feels responsible for applying the knowledge acquired during the subject, given its limitations. He accepts well-founded critical remarks and takes them into account in his later work. Collaborates with the instructor and peers in processing the curriculum. He accepts the framework of cooperation, he is able to do his work independently or as part of a team, depending on the situation.
Teaching methodology
The theoretical part of the education takes the form of a lecture in two hours a week, accompanied by an additional one hour of practice per 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 new knowledge is further aided by self-made homework. During the semester, we provide regular consultations and downloadable aids. An extended electronic note adapted to the topic of the subject complements the material of the lecture, providing additional knowledge to those interested. Strong prerequisite: Mathematics G3 (BMETE93BG03 or BMETE94BG03), Strength (BMEGEMMAXM2), Dynamics (BMEGEMMAXM3).
Support materials
Textbook
Csernák-Stépán: Vibration. Akadémiai Kiadó, ISBN: 978 963 454 473 9, DOI: 10.1556 / 9789634544739, https://mersz.hu/csernak-rezgestan, 2019.
Béda-Bezák: Kinematics and Dynamics. University of Applied Sciences 45050, ISBN: 9634205968, 1999.
Ludvig Gy .: Dynamics of machines. Technical Publishing, ISBN: 9631048020, 1973. 2021.
Lecture notes
Online material
Validity of the course description
| Start of validity: | 2024. July 1. |
| End of validity: | 2028. July 15. |
General rules
Learning outcomes are assessed in the diligent period on the basis of written performance measurement (two summative learning performance assessments) and homework (two partial performance assessments). The homework is published in accordance with the subject of the subject, covers the current parts of the studied material, its preparation at a sufficient level is obligatory. Documenting the calculated results of the homework is an independent work, which, in addition to the correctness of the numerical results, must also meet the prescribed formal and content requirements.
Assessment methods
Detailed description of mid-term assessments
| Mid-term assessment No. 1 | ||
| Type: | summative assessment | |
| Number: | 2 | |
| Purpose, description: | A complex, written way of evaluating the knowledge and ability-type competence elements of the subject in the form of a dissertation; the dissertation basically focuses on the interpretation of the individual concepts and the recognition of the connections between them, as well as on the application of the acquired knowledge, so test questions must be answered and practical (calculation) tasks must be solved during the performance evaluation. The part of the curriculum on which the assessment is based 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: | The subject is a complex way of evaluating the knowledge, ability, attitude, as well as independence and responsibility type competence elements of the subject, the appearance of which is the homework done individually. The content, requirements, submission deadline and evaluation method of the homework are determined by the person in charge. In order to solve problems that arise during the preparation of the homework, the practice leaders help during the weekly announced consultations. | |
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 | 80 % |
| Mid-term assessment No. 2 | 20 % |
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] | 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 | 42 |
| mid-term preparation for practices | 7 |
| preparation for summary assessments | 32 |
| elaboration of a partial assessment task | 8 |
| additional time required to complete the subject | 31 |
| altogether | 120 |
Validity of subject requirements
| Start of validity: | 2024. July 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 |
|
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 |