Finite-element method (5 of 47)

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1. Introduction

1. Introduction (cont'd)

1. Introduction (cont'd)

1. Introduction (cont'd)

5 of 47

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)

4. Higher-order elements

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

1. Introduction (cont'd)

The elements

may be 1-D, 2-D (triangular or quadrilateral), or 3-D (tetrahedral, hexahedral, etc.); and
may be linear or higher-order.

The elements may model mechanics, acoustics, thermal fields, electromagnetic fields, etc., or coupled problems.

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

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