Budapest Polytechnic
Bánki Donát Faculty of Mechanical Engineering
/Department of Machine Construction and Safety Technics
Name and Code of the Subject: Mechanical engineering (BGBGI1ANNK)Credit Points: 6
Full Course,Year I., Semester I.
Course: Mechanical Engineering, Specialty: „Integrated Engineering”Responsible Lecturer: / Prof. Dr. Lajos Pomázi / Lecturers: / Prof. Dr. József Tar (NIK,Institute of Math. and Computational Sciences)
Pre-Courses:(with codes) / T2A, F2A
Hours/weeks / Lectures:2 +2 / Exercises:1 + 1 / Laboratory:-- / Consultation:--
Method of Controls (s,v,f): / v
Teaching material
Aims: The subject - based on the knowledge of two separate subjects of „ Applied mechanics” and „Thermo- and fluid dynamics” - is a synthesizing subject of the Course, therefore the aims are divided also in two part as follows.„A”: To extend and further develop the understanding of fundamental concepts and principles of statics and dynamics to more complex systems and to establish the relationship between the fundamental concepts and modern computational techniques.
„B”: To apply basic knowledge the already obtained in Fluid Dynamics and Thermodynamics in sound and noise issues, to solve practice-oriented problems related to valves, roto-dynamic and positive displacement hydraulic devices, power plants, refrigerator systems of high complexity;
Indicative Syllabus:„A”: Elastic strain energy of beams. Energy methods: Betti’s and Castigliano’s theorems and their applications. Matrix (flexibility and stiffness) methods for the solution of deformation problems of beams. Plastic bending and limit states of beams and frames based on development of “plastic hinges”. Forced damped vibrations of one degree of freedom mechanical system, steady state solution. Free and forced vibration of undamped two degree of freedom system: eigen-frequencies, mode shapes, and resonance.
„B” Basics in perturbation theory and its application to sound and noise issues; Transport of physical quantities in sound; Silencing; Valves and Hydraulic engines, Scaling Rules in the description of roto-dynamic engines; Realistic power plants and refrigerators; Numerical techniques for solving realistic tasks, function fitting.
Week
/Detailed syllabus
„A”
/„B”
1. / Elastic strain energy of solids and beams due to tension, bending and torsion actions. / Sound and noise as small perturbation on the state of thermal equilibrium; Basics of perturbation calculation;2. / Energy methods: Betti’s and Castigliano’s theorems / The Wave Equation for sound and noise; Basics in Fourier Analysis;
3. / Their applications for the determination of displacements and rotations of straight and curved beam cross sections / The basic transport quantities of sound and noise: intensity, sound pressure level, sound power level of point-like noise sources, the decibel scale;
4. / and of reactions of statically indeterminate structures. / Refraction, reflection, transmission; Direct and reverberated fields, sound absorption coefficients;
5. / Plastic bending of beams and plane frames. Plastic hinge and interpretation of its limit states (limit bending moment, limit - loading). / Human sensing of noise, the Fletcher-Munson Diagrams, standard octave bands and weighting factors;
6. / Application of the virtual work theorem for the investigation of limit plastic states of beams and simple plane frame. Examples.. / NR and NC curves, equivalent continuous noise level, regulations and rules to protect employees’ ears;
7. / Matrix (flexibility and stiffness) methods for the solution of deformation problems of beams. Applications for beam structures / More sophisticated characteristics and components in steam power plants: SSC; re-heater, regeneration, back pressure, pass out systems; Numerical problem solution methods;
8. / 1.zh. / More sophisticated characteristics components in gas power plants, Work Ratio, Numerical problem solution methods;
9. / Applications for bent beams and frames. Bent finite elements, compatibility conditions, stiffness matrices, basic equations. / Flash chamber in refrigerators; Numerical problem solution methods;
10. / Forced vibrations of one degree of freedom mechanical system with viscous – proportional to velocity - damping, steady state solution, phase relations. Examples.
11. / Free and forced vibration of undamped two degree of freedom system: equation of motion. Eigen-frequencies, mode shapes, states of resonance. / Roto-dynamic pumps and turbines: Description via Dimensional Analysis, scaling rules, specific speed parameter; function fitting via Excel, problem solution for optimization;
12. / Application examples. / Cavitation, Bernouli’s Equation, Net Positive Suction Head; Positive displacement hydraulic tools (pumps and motors) and their main characteristics; Valves;
13. / 2.zh
14. / Consultation
pótzh / A case study regarding the control of a mechanical system using a differential hydraulic cylinder;
In-semester requirements
(home assignment (hf), Mid Semester Test (MST, zh), presentation (ea), etc.)
„A” / „B”
Week / Mid Semester Tests (zh)
(1.zh=30p, 2.zh=40p) / Assignments (5Hf=5x6p=30p)
Handing in (handing out 2 weeks earlier) / 1 complex task
5. / 1.Hf (Castigliano’s method) / Handing in part 1: calculations for the measures of sound and noise level; combined steam and gas power plants
8. / 1.zh (from teaching material of
1. –7. weeks) / 2.Hf (plastic limit states)
11. / 3.Hf (matrix method) / Handing in part 2: refrigerators and cooling systems;
12. / 4.Hf (one degree of freedom damped system)
13. / 2.zh (from teaching material of 10. – 12. weeks) / 5.Hf (vibration of two DOF system) / Handing in part 3: rotodynamic pumps and pipe systems, hydraulic motors;
Methods of supplements:Assignments should be handing in on the given above weeks on the lessons. After that time they can be handing in by paying an extra charge for each week of delay, up to 15. Dec. on the 15.Week. Students getting less than 25 marks (~36%) on the two control works (“zh” mark) can correct their result by writing the supplemental control work. In this case mark of the supplemental “zh” is taken into account as “zh” mark.
Method of creating the semester mark and validity of the semester: The semester mark is the sum of all marks got by the student.The semester of those students is valid and can take an exam who handed in all 5+3 home works and who’s semester mark is equal or greaterthan 30 marks (30 % of total possible marks of the semester).
Method of exam.: (written, oral, test etc.)
The weight relation of the semester marks/exam. in the total result equal 40% / 60% for both part of the subject, which parts have 50 – 50 % weight in the finite result of exam. The minimum requirements should be perform separately in both parts.
The exam. is written exam. + additional oral exam. for that students, who’s total result is as minimum 4% less the upper value of the total exam. strips, given below and want to get a better finite mark.
Literature:
Obligatory: / „A” / „B”
„Mechanical Engineering 3” , lecture notes of The NottinghamTrentUniversity, (BMF BGK jegyzete) / Aktuális kiegészítések a jegyzethez a Web-en (
Dr. Lajos Pomázi: Mechanical Engineering 3, Statics and Dynamics (Study material) (kari jegyzet) / J.K. Tar: Mechanical Engineering 3: Noise, Thermo- and Fluid Dynamics (Contributions); (lecture notes);
Dr. Kósa Csaba: Nyugvó rendszerek mechanikája (jegyzet + példatár)
Dr. Kósa Csaba : Mozgó rendszerek mechanikája (jegyzet + példatár) / Mechanical Engineering 3 Lecture notes (compilation); (lecture notes);
Recommended: A Web-re kihelyezett aktuálisan elérhető angol és magyar nyelvű tankönyvek.
Other teaching materials:
Strategy teaching and learning materials: (CAL materials, videos, CD-, etc.)
Recommended teaching materials to the part “A” on the Web site: _kepzes
Dátum: 2007-09-10.
Prof. Dr. Jozsef K. Tar, Ph.D. Prof. Dr. Lajos, Pomázi , Ph.D.
......
Lecturer of Part “B”Responsible Lecturer