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## Proposal of the methodology for determining the stiffness matrix of the crankshaft

### Mateusz Paweł Wojciechowski

#### Abstract

The aim of the study was to propose a method for determining the stiﬀness matrix for the linear-elastic model of the crankshaft. In the ﬁrst part of the work described tools, that were used in calculations. The Maxwell-Mohr’s method was ﬁrst described one the example of a beam on one ﬁxed supported at the end and loaded with concentrated moment on the other. The energy and matrix method were used. Additionally, the principle of operation of the ﬁnite element method were presented, its advantages and disadvantages, were given, also the aplication were describet In the next chapter, using the SolidWorks program, a 3D model of the existing crankshaft was created, its material parameters were determined and the accuracy of the model relative to the real object was veriﬁed. After checking the accuracy of the model, a fragment of the shaft was separated, which had two main spigots and one crank pin. Thanks to this choice, it will be possible to use this method for each shaft length by multiplying the given model. Next, the discretized object was discretized, the boundary conditions were determined, the load was given and subjected to static analysis. The results were read and a susceptibility matrix for the CAD model was created. In the next stage, a beam model was created. The obtained frame was loaded identically as 3d model and displacements were determined using the Maxwell-Mohr method. Next, the susceptibility matrix of the analyzed frame was determined. Young’s modulus and the moment of inertia were selected so that matrices determined analytically from the beam model and simulated from the spatial model were as close as possible to each other. In the last part of the work, the error of simplifying the beam model relative to the matrix of susceptibility of the CAD model was determined. The conclusions summarize the conclusions drawn from the research.
Diploma type
Engineer's / Bachelor of Science
Diploma type
Engineer's thesis
Author
Mateusz Paweł Wojciechowski (FACME) Mateusz Paweł Wojciechowski,, Faculty of Automotive and Construction Machinery Engineering (FACME)
Title in Polish
Propozycja metodyki wyznaczania macierzy sztywności wykorbienia
Supervisor
Robert Zalewski (FACME/IMDF) Robert Zalewski,, Institute of Machine Design Fundamentals (FACME/IMDF)Faculty of Automotive and Construction Machinery Engineering (FACME)
Bogumił Chiliński (FACME/IMDF) Bogumił Chiliński,, Institute of Machine Design Fundamentals (FACME/IMDF)Faculty of Automotive and Construction Machinery Engineering (FACME)
Certifying unit
Faculty of Automotive and Construction Machinery Engineering (FACME)
Affiliation unit
Institute of Machine Design Fundamentals (FACME/IMDF)
Language
(pl) Polish
Status
Finished
Defense Date
16-04-2019
Issue date (year)
2019
Internal identifier
SIMR; D-2174
Reviewers
Bogumił Chiliński (FACME/IMDF) Bogumił Chiliński,, Institute of Machine Design Fundamentals (FACME/IMDF)Faculty of Automotive and Construction Machinery Engineering (FACME) Jakub Lasocki (FACME/IV) Jakub Lasocki,, Institute of Vehicles (FACME/IV)Faculty of Automotive and Construction Machinery Engineering (FACME)
Keywords in Polish
Macierz sztywnościModel belkowy Model liniowo-sprężysty Metoda Elementów Skończonych
Keywords in English
Stiﬀnes matrix Beam model Linear elastic model Finite element method
Abstract in Polish
File
• File: 1
Mateusz_Wojciechowski_Praca_inżynierska_-_Propozycja_metodyki_wyznaczania_macierzy_sztywności_wykorbienia.pdf
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Local fields
Identyfikator pracy APD: 28870

Uniform Resource Identifier
https://repo.pw.edu.pl/info/bachelor/WUTef9037d1c5f94ab2a943332dc4ea05fa/
URN
urn:pw-repo:WUTef9037d1c5f94ab2a943332dc4ea05fa

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