This course focuses on modal analysis that is a fundamental technique for investigating dynamic characteristics of structures.

The purpose of this class is to provide a presentation for the theory of modal analysis and finite element method.

- To understand multiple-degree-of-freedom systems
- To understand theoretical modal analysis
- To make programs for analyzing multiple-degree-of-freedom systems using finite element method

Class schedule | HW assignments (Including preparation and review of the class.) | Amount of Time Required | |
---|---|---|---|

1． | Introduction Equation of motion (multidegree of freedom systems) |
To investigate modal analysis and finite element method To investigate equation of motion (multidegree of freedom systems) |
190minutes |

2． | Eigenvalue problem, generalized eigenvalue problem | To investigate eigenvalue problem, generalized eigenvalue problem | 190minutes |

3． | Eigenvalue and natural mode, orthogonality of natural mode | To investigate eigenvalue and natural mode, orthogonality of natural mode | 190minutes |

4． | Modal coordinate, modal mass and modal stiffness | To investigate modal coordinate, modal mass and modal stiffness | 190minutes |

5． | Frequency response function | To investigate frequency response function | 190minutes |

6． | Element stiffness matrix in truss structure | To investigate element stiffness matrix in truss structure | 190minutes |

7． | Element stiffness matrix in rahmen structure | To investigate element stiffness matrix in rahmen structure | 190minutes |

8． | Total stiffness matrix and total mass matrix | To investigate total stiffness matrix and total mass matrix | 190minutes |

9． | Vibration tests for beam structures | To investigate vibration tests for beam structures | 190minutes |

10． | Finite element analysis using NASTRAN |
To investigate finite element analysis using NASTRAN | 190minutes |

11． | Programming (Three-degree-freedom-systems: Frequency response function) | To investigate programming (Three-degree-freedom-systems: Frequency response function) | 190minutes |

12． | Programming (Beam structure: Theoretical analysis) | To investigate programming (Beam structure: Theoretical analysis) | 190minutes |

13． | Programming (Beam structure: Total stiffness matrix and total mass matrix) | To investigate programming (Beam structure: Total stiffness matrix and total mass matrix) | 190minutes |

14． | Programming (Beam structure: Frequency response function) | To investigate programming (Beam structure: Frequency response function) | 190minutes |

Total. | - | - | 2660minutes |

Report | Total. | |
---|---|---|

1. | 30% | 30% |

2. | 30% | 30% |

3. | 40% | 40% |

Total. | 100% | - |

The score will be counted from 100 point by report. The pass criteria is 60 point.

Akio Nagamatsu, Introduction to Modal Analysis

D. J. Ewins, Modal Testing: Theory, Practice and Application

S. S. Rao, Mechanical Vibration

W. T. Thomson, Theory of Vibration with Applications

D. J. Ewins, Modal Testing: Theory, Practice and Application

S. S. Rao, Mechanical Vibration

W. T. Thomson, Theory of Vibration with Applications

You should have academic abilities of Mechanical Dynamics, Vibration Engineering and Programing using MATLAB.

- Friday lunch break (You should make an appointment via e-mail in advance.)

- Course that cultivates a basic problem-solving skills

Work experience | Work experience and relevance to the course content if applicatable |
---|---|

N/A | N/A |

Last modified : Fri Apr 05 04:03:13 JST 2019