Finite-element method (28 of 47)

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1. Introduction

1. Introduction (cont'd)

1. Introduction (cont'd)

1. Introduction (cont'd)

1. Introduction (cont'd)

1. Introduction (cont'd)

1. Introduction (cont'd)

1. Introduction (cont'd)

2. Rayleigh-Ritz procedure

2. Rayleigh-Ritz procedure (cont'd)

2. Rayleigh-Ritz procedure (cont'd)

2. Rayleigh-Ritz procedure (cont'd)

2. Rayleigh-Ritz procedure (cont'd)

2. Rayleigh-Ritz procedure (cont'd)

2. Rayleigh-Ritz procedure (cont'd)

2. Rayleigh-Ritz procedure (cont'd)

2. Rayleigh-Ritz procedure (cont'd)

3. A simple element analysis

3. A simple element analysis (cont'd)

3. A simple element analysis (cont'd)

3. A simple element analysis (cont'd)

3. A simple element analysis (cont'd)

3. A simple element analysis (cont'd)

3. A simple element analysis (cont'd)

3. A simple element analysis (cont'd)

3. A simple element analysis (cont'd)

3. A simple element analysis (cont'd)

28 of 47

4. Higher-order elements (cont'd)

5. Assembly of system equation

5. Assembly of system equation (cont'd)

5. Assembly of system equation (cont'd)

5. Assembly of system equation (cont'd)

5. Assembly of system equation (cont'd)

6.1 Static problem

6.2 Undamped dynamic problem

6.2 Undamped dynamic problem (cont'd)

6.2 Undamped dynamic problem (cont'd)

6.2 Undamped dynamic problem (cont'd)

6.3.1 Modal analysis

6.3.1 Modal analysis (cont'd)

6.3.2 Time-domain analysis

6.3.2 Time-domain analysis (cont'd)

6.3.2 Time-domain analysis (cont'd)

6.3.2 Time-domain analysis (cont'd)

6.3.2 Time-domain analysis (cont'd)

6.3.3 Complex-valued analysis

4. Higher-order elements

Linear and higher-order triangles

Additional nodes on edges and possibly in interior

Both element shape and basis functions can be higher-order
Additional nodes can be generated automatically

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Last modified: 2018-11-07 12:52:06

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