339-0924/01 – Probabilistic Calculations in Mechanics (PVvM)

Gurantor departmentDepartment of Mechanics of MaterialsCredits10
Subject guarantordoc. Ing. Karel Frydrýšek, Ph.D.Subject version guarantordoc. Ing. Karel Frydrýšek, Ph.D.
Study levelpostgraduateRequirementChoice-compulsory
YearSemesterwinter + summer
Study languageCzech
Year of introduction2010/2011Year of cancellation2012/2013
Intended for the facultiesFSIntended for study typesDoctoral
Instruction secured by
LoginNameTuitorTeacher giving lectures
FRY72 doc. Ing. Karel Frydrýšek, Ph.D.
VAC10 doc. Ing. Leo Václavek, CSc.
Extent of instruction for forms of study
Form of studyWay of compl.Extent
Full-time Credit and Examination 25+0
Part-time Credit and Examination 25+0

Subject aims expressed by acquired skills and competences

This subject responds to the contemporary trend of changes from the deterministic approach to the fully probabilistic approach in the reliability of structures and parts of machines.

Teaching methods

Lectures
Individual consultations
Project work

Summary

This subject is focused on the stochastic mechanics and the probabilistic approach of reliability assessment, which use simulation techniques of direct Monte Carlo (MC) method. Analytical models, numerical models (FEM) and fully probabilistic Simulation-Based Reliability Assessment (SBRA) Method are applied. Software Anthill, Mathcad, MSC.Marc/Mentat and ANSYS are used in practical applications. In the introduction are explained the basic conceptions of the theory of probability, statistics, reliability, MC method, SBRA method and its new development tendencies "Integrated – fully probabilistic Design" (ID). Into ID, which can exert a direct influence of economy, ecology, politics etc., belongs Performance-Based Design (PBD), Life-Cycle Assessment (LCA), Risk Engineering (RE) etc.

Compulsory literature:

MAREK, P., BROZZETTI, J., GUŠTAR M.: Probabilistic Assessment of Structures Using Monte Carlo Simulation Background, Exercises and Software, 2nd edition, ITAM CAS, Prague, 2003, Czech Republic, ISBN 80-386246-08-6, pp.471 (cd attached). MAREK, P., GUŠTAR, M., BATHON, L.: Tragwerksbemessung von deterministischen zu probalistischen verfahren, Academia, Nakladatelství akademie věd ČR, 1998, ISBN 80-200-0706-7, pp.263.

Recommended literature:

HALDAR, A., MAHADEVAN, S.: Probability, Reliability and Statistical Methods in Engineering Design, John Willey & Sons, Inc, ISBN 0-471-33119-8, New York, USA, 2001

Way of continuous check of knowledge in the course of semester

E-learning

Other requirements

Prerequisities

Subject has no prerequisities.

Co-requisities

Subject has no co-requisities.

Subject syllabus:

dodělat /* * Created by SharpDevelop. * User: roj71 * Date: 20.3.2012 * Time: 9:39 * * To change this template use Tools | Options | Coding | Edit Standard Headers. */ using System; using System.IO; namespace cteni_dat { class Program { public static double [,] Nacteni (string soubor) { string line = null; string hodnota = null; int HL = 0; double [,] hodnoty = new double [2,2]; TextReader reader = new StreamReader (soubor); //prvni radek line = reader.ReadLine(); //prvni radek prvni hodnota for (int i = 0; i<11; i++){ if (!line[i].Equals(';')) hodnota +=line[i]; else { hodnoty [0,HL] = double.Parse (hodnota);hodnota = null; }} //prvni radek druha hodnota for (int i = 11; i<line.Length; i++){ if (!line[i].Equals(';')) hodnota +=line[i]; else { hodnoty [1,HL] = double.Parse (hodnota);hodnota = null; }} HL = HL + 1; //druhy radek line = reader.ReadLine(); //druhy radek prvni hodnota for (int i = 0; i<11; i++){ if (!line[i].Equals(';')) hodnota +=line[i]; else { hodnoty [0,HL] = double.Parse (hodnota);hodnota = null; }} //druhy radek druha hodnota for (int i = 11; i<line.Length; i++){ if (!line[i].Equals(';')) hodnota +=line[i]; else { hodnoty [1,HL] = double.Parse (hodnota);hodnota = null; }} // atd.... //lepsi je svazat radky a pocet cisel do cyklu for reader.Close(); return hodnoty; } public static void Main(string[] args) { Console.WriteLine("Hello World!"); double [,] cislo = new double [2,2]; cislo=Nacteni ("data.txt"); Console.WriteLine("1 - 1 prectene cislo je {0}",cislo[0,0]); Console.WriteLine("1 - 2 prectene cislo je {0}",cislo[1,0]); Console.WriteLine("2 - 1 prectene cislo je {0}",cislo[0,1]); Console.WriteLine("2 - 2 prectene cislo je {0}",cislo[1,1]); Console.WriteLine("atd."); Console.ReadKey(true); } } }

Conditions for subject completion

Part-time form (validity from: 2011/2012 Winter semester, validity until: 2012/2013 Summer semester)
Task nameType of taskMax. number of points
(act. for subtasks)
Min. number of points
Exercises evaluation and Examination Credit and Examination 100  51
        Exercises evaluation Credit  
        Examination Examination  
Mandatory attendence parzicipation:

Show history

Occurrence in study plans

Academic yearProgrammeField of studySpec.ZaměřeníFormStudy language Tut. centreYearWSType of duty
2012/2013 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2012/2013 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2012/2013 (P2301) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2012/2013 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2011/2012 (P2346) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2011/2012 (P2346) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2011/2012 (P2301) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan
2011/2012 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2010/2011 (P2301) Mechanical Engineering (3901V003) Applied Mechanics K Czech Ostrava Choice-compulsory study plan
2010/2011 (P2301) Mechanical Engineering (3901V003) Applied Mechanics P Czech Ostrava Choice-compulsory study plan

Occurrence in special blocks

Block nameAcademic yearForm of studyStudy language YearWSType of blockBlock owner