MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering...
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![Page 1: MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering Hong Kong University of Science & Technology Clear.](https://reader035.fdocuments.in/reader035/viewer/2022062516/56649d595503460f94a388be/html5/thumbnails/1.jpg)
MECH300H Introduction to Finite Element Methods
Dr. Wenjing Ye
Department of Mechanical EngineeringHong Kong University of Science & Technology
Clear Water Bay, Kowloon, Hong Kong SARTel: +852-2358-7194, Fax: +852-2358-1543
E-mail: [email protected] Homepage:
http://www.me.ust.hk/~mech300h
![Page 2: MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering Hong Kong University of Science & Technology Clear.](https://reader035.fdocuments.in/reader035/viewer/2022062516/56649d595503460f94a388be/html5/thumbnails/2.jpg)
Numerical Methods – Definition and Advantages
Definition: Methods that seek quantitative approximations to the solutions of mathematical problems Advantages:
![Page 3: MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering Hong Kong University of Science & Technology Clear.](https://reader035.fdocuments.in/reader035/viewer/2022062516/56649d595503460f94a388be/html5/thumbnails/3.jpg)
What is a Numerical Method – An Example
Example 1: 0)0( uuudt
du
![Page 4: MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering Hong Kong University of Science & Technology Clear.](https://reader035.fdocuments.in/reader035/viewer/2022062516/56649d595503460f94a388be/html5/thumbnails/4.jpg)
What is a Numerical Method – An Example
Example 1: 0)0( uuudt
du
![Page 5: MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering Hong Kong University of Science & Technology Clear.](https://reader035.fdocuments.in/reader035/viewer/2022062516/56649d595503460f94a388be/html5/thumbnails/5.jpg)
What is a Numerical Method – An Example
Example 2: 0t- )0( e52 uuu
dt
du
![Page 6: MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering Hong Kong University of Science & Technology Clear.](https://reader035.fdocuments.in/reader035/viewer/2022062516/56649d595503460f94a388be/html5/thumbnails/6.jpg)
What is a Numerical Method – An Example
Example 2: 1)0( e52 t- uudt
du
![Page 7: MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering Hong Kong University of Science & Technology Clear.](https://reader035.fdocuments.in/reader035/viewer/2022062516/56649d595503460f94a388be/html5/thumbnails/7.jpg)
What is a Numerical Method – An Example
Example 3: 1)0( 2 utudt
du
![Page 8: MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering Hong Kong University of Science & Technology Clear.](https://reader035.fdocuments.in/reader035/viewer/2022062516/56649d595503460f94a388be/html5/thumbnails/8.jpg)
What is a Finite Element Method
![Page 9: MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering Hong Kong University of Science & Technology Clear.](https://reader035.fdocuments.in/reader035/viewer/2022062516/56649d595503460f94a388be/html5/thumbnails/9.jpg)
Discretization
1-D 2-D
3-D?-D Hybrid
![Page 10: MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering Hong Kong University of Science & Technology Clear.](https://reader035.fdocuments.in/reader035/viewer/2022062516/56649d595503460f94a388be/html5/thumbnails/10.jpg)
Approximation
Numerical Interpolation
Non-exact Boundary Conditions
![Page 11: MECH300H Introduction to Finite Element Methods Dr. Wenjing Ye Department of Mechanical Engineering Hong Kong University of Science & Technology Clear.](https://reader035.fdocuments.in/reader035/viewer/2022062516/56649d595503460f94a388be/html5/thumbnails/11.jpg)
Applications of Finite Element Methods
Structural & Stress Analysis Thermal Analysis Dynamic Analysis Acoustic Analysis Electro-Magnetic Analysis Manufacturing Processes Fluid Dynamics